Answer:
In one hour Stephanie earns $1.50 more than Marco
Step-by-step explanation:
w=9h
H is a variable
9×hour= wage
9×15= $135
9×18= $162
157.50-135=$22.50
189-162=$27
27-22.50=4.50
Now cause its per hour we know she earns $4.50 more in 3 hours.
4.50÷3=$1.50
Validation of the model and answering the question "what are my options" occur in the ___ phase of the IDC.
A. choice
B. design
C. intelligence
D. implantation
Validation of the model and answering the question "what are my options" occur in the design phase of the IDC (Intelligence, Design, and Choice) framework.
The IDC framework is a decision-making process that consists of three phases: Intelligence, Design, and Choice. Each phase corresponds to a specific set of activities and objectives.
In the intelligence phase, the focus is on gathering information, identifying the problem or decision to be made, and understanding the factors and variables involved. This phase involves data collection, analysis, and exploration to gain insights and knowledge about the problem domain.
In the design phase, the emphasis is on developing and evaluating potential options or solutions to address the problem or decision at hand. This phase involves creating models, prototypes, or simulations to represent the problem and exploring different alternatives.
Validation of the model is an important aspect of this phase to ensure that the proposed solutions align with the problem requirements and objectives.
The question "what are my options" is a fundamental question that arises during the design phase. It implies the exploration and generation of various possible choices or solutions that can be evaluated and compared.
Therefore, the design phase of the IDC framework encompasses the activities of validating the model and answering the question "what are my options." It involves refining and testing potential solutions to make informed decisions in the subsequent choice phase.
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Johnny found a sick abandoned kitten in his yard. It was very malnourished and he decided to nurse it back to health. He started feeding the kitten enough food to help it gain weight. On average the kitten was gaining 4 ounces per day. After 6 days in Johnny's care, the cat weighed 73 ounces. Determine how many days until the kitten will weighs 105 ounces.
Answer:9 days
Step-by-step explanation:A lot of division is required, but because 8.75 probably isn't an answer, I rounded up to 9.
Suppose a raptor center has 12 great horned owls and 14 barn owls. If an owl is selected at random, what is the probability that a barn owl is selected? Find the closest percent.
Answer:
7/13 or 54% or about 0.54
Step-by-step explanation:
5.23×10−6 kg/mm3 to kg/m3
5.23 × 10^(-6) kg/mm^3 is equal to 5.23 × 10^(-15) kg/m^3.
To convert 5.23 × 10^(-6) kg/mm^3 to kg/m^3, we need to multiply the given value by a conversion factor.
1 mm^3 is equal to (1/1000)^3 m^3, or 10^(-9) m^3.
Therefore, the conversion factor is 10^(-9) m^3/mm^3.
To convert kg/mm^3 to kg/m^3, we can multiply the given value by the conversion factor:
5.23 × 10^(-6) kg/mm^3 * 10^(-9) m^3/mm^3 = 5.23 × 10^(-15) kg/m^3.
what is factor?
In mathematics, a factor refers to a number or expression that divides another number or expression evenly without leaving a remainder. It is a key concept in multiplication and division.
Here are two common uses of the term "factor":
1. Factors of a Number: Factors of a number are the whole numbers that divide the given number without leaving a remainder. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12 because these numbers divide 12 evenly.
2. Factoring in Algebra: Factoring in algebra involves expressing an algebraic expression or polynomial as a product of its factors. For example, the expression x^2 - 4 can be factored as (x - 2)(x + 2), where (x - 2) and (x + 2) are the factors of the expression.
Factors play an important role in various areas of mathematics, including number theory, algebra, and arithmetic. They are used to simplify expressions, solve equations, find common multiples and divisors, and analyze the properties of numbers and functions.
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find the area of a square length with each side lenght.
a) 3 units b) 7 units c) 5 units d) 12 units
Area of square when length of the side is
a)3 units=9 units
b)7 units=49 units
c) 5units=25 units
d) 12 units=144 units
Given that,
3 units, 7 units, 5 units, 12 units
We have to find the area of square
The space that the object occupies is called the area. It is the area that any shape resides in. We only take into account the length of a square's side when calculating its area. A square's area is equal to the square of its sides because every side is equal.
Area of square =side\(\times\)side
a) Area of square of 3 units length.
Area of square =3\(\times\)3=9 units.
Therefore, area of square is 9 units.
b) Area of square of 7 units length.
Area of square =7\(\times\)7=49 units.
Therefore, area of square is 49 units.
c) Area of square of 5 units length.
Area of square =5\(\times\)5=25 units.
Therefore, area of square is 25 units.
d) Area of square of 12 units length.
Area of square =12\(\times\)12=144 units.
Therefore, area of square is 144 units.
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4. To Address - Motion of a Vibrating String A. Give the mathematical modeling of the wave equation. In simple words, derive it. B. The method of separation of variables is a classical technique that is effective in solving several types of partial differential equations. Use this method to find the formal/general solution of the wave equation. c. The method of separation of variables is an important technique in solving initial-boundary value problems and boundary value problems for linear partial differential equations. Explain where the linearity of the differential equation plays a crucial role in the method of separation of variables. D. In applying the method of separation of variables, we have encountered a variety of special functions, such as sines, cosines. Describe three or four examples of partial diferential equations that involve other special functions, such as Bessel functions, and modified Bessel functions, Legendre polynomials, Hermite polynomials, and Laguerre polynomials. (Some exploring in the library may be needed; start with the table on page 483 of a certain book.) E. A constant-coefficient second-order partial differential equation of the form au alu au a +2=0, дхду ду2 can be classified using the discriminant D = b2 - 4ac. In particular, the equation is called hyperbolic if D>0, elliptic if D<0. Verify that the wave equation is hyperbolic. It can be shown that such hyperbolic equations can be transformed by a linear change of variables into the wave equation. From the solution perspective, one can use an integral transform for which the problem can be imposed as follows. dxztb. Solutions Differential Equation y" + Ay = 0 Researchers Areas of Application (harmonic oscillator) Vibrations, waves in Cartesian coordinates cos VĂx, sin Vax, et Vax cosh V -x, sinh V-ix excos Bx, "sin Bx x"cos(Blnx),x" sin (ß In x) my" + by' + ky = 0 axy" + bxy' + cy = 0 y" - xy = 0 x?y" + xy + (x2 - 1) = 0 (damped oscillator) Vibrations Cauchy, Euler, Mellin Electrostatics in polar coordinates Airy Caustics Bessel, Weber, Waves in cylindrical Neumann, Hankel coordinates (Modified Bessel) Electrostatics in cylindrical coordinates (Generalized Bessel) Ai(x), Bi(x) J.(x), Y,(x), H"(x), H,2)(x) x?y" + xy' - (x2 + v2y = 0 1,(x), K,(x) x+y" + (a + 2bx")xy' +(c + dx? - b(1-a-r)x" + b2x2"]y = 0 x (1-41/2,-/), (Vdx/s), p = V(1 -a)/4-c/s P(x), "(x), 1 = -f(€ +1) Legendre (1 - xy" - 2xy' - [1 + m+/(1 - x)]y = 0 xy" + (k+1-x)y' + ny = 0 y" - 2xy' + 2ny = 0 Laguerre Spherical coordinates (x = cos) Hydrogen atom Quantum mechanical harmonic oscillator L (x) H.(x) Hermite y" + (2n + 1 - xy = 0 Weber Quantum mechanical harmonic oscillator e-**/H,(x) (1 - x?)y" - xy' + ny = 0 Chebyshev Approximation theory, filters 7.(x), U.(x) 483 (Continued)
A. we obtain the wave equation μ * ∂²y/∂t² = T * ∂²y/∂x².
B. The general solution of the wave equation is:
y(x, t) = (C * cos(k * x) + D * sin(k * x)) * (A * cos(k * t) + B * sin(k * t))
C. The wave equation is linear, the solutions X(x) and T(t) can be combined using arbitrary constants to obtain the wave equation.
D. These special functions play a crucial role in solving specific types of partial differential equations and have applications.
E. This transformation simplifies the analysis and solution of hyperbolic equations and allows us to apply various techniques and methods specific to the wave equation.
What is Hooke's law?A material is referred to as linearly elastic when it exhibits elastic behaviour and shows a linear relationship between stress and strain. In this situation, tension and strain have a direct relationship.
A. It can be derived by considering the forces acting on an infinitesimally small segment of the string.
Let's consider a small segment of the string with length Δx.
Using Newton's second law, the net force acting on the segment is equal to its mass times acceleration:
F = m * a
The mass of the segment can be approximated by its linear density, which is the mass per unit length of the string.
The tension force can be approximated by Hooke's law,
F_tension = T * (y(x + Δx, t) - y(x, t))
The inertia force can be approximated by the second derivative of the displacement with respect to time:
F_inertia = μ * Δx * ∂²y/∂t²
Equating the net force to the sum of the tension and inertia forces, we have:
m * a = T * (y(x + Δx, t) - y(x, t)) - μ * Δx * ∂²y/∂t²
Dividing through by Δx and taking the limit as Δx approaches 0, we obtain the wave equation:
μ * ∂²y/∂t² = T * ∂²y/∂x²
B. The method of separation of variables can be used to find the formal/general solution of the wave equation.
Let's assume that y(x, t) = X(x) * T(t). Substituting this into the wave equation, we get:
μ * (T''(t)/T(t)) = T(t) * (X''(x)/X(x))
Dividing through by μ * T(t) * X(x), we have:
(T''(t)/T(t)) = (X''(x)/X(x)) = -k² (a constant)
Now we have two separate ordinary differential equations:
T''(t)/T(t) = -k² (1)
X''(x)/X(x) = -k² (2)
This is a simple harmonic oscillator equation, and its general solution is given by:
T(t) = A * cos(k * t) + B * sin(k * t)
Solving equation (2), we obtain:
X''(x) + k² * X(x) = 0
This is also a simple harmonic oscillator equation, and its general solution is given by:
X(x) = C * cos(k * x) + D * sin(k * x)
Therefore, the general solution of the wave equation is:
y(x, t) = (C * cos(k * x) + D * sin(k * x)) * (A * cos(k * t) + B * sin(k * t))
where A, B, C, and D are arbitrary constants.
C. This principle states that if y1(x, t) and y2(x, t) are solutions of the wave equation, then any linear combination of them, c1 * y1(x, t) + c2 * y2(x, t), is also a solution.
The method of separation of variables relies on assuming a separable solution, y(x, t) = X(x) * T(t), and substituting it into the wave equation. By doing so, we obtain two separate ordinary differential equations for X(x) and T(t). Since the wave equation is linear, the solutions X(x) and T(t) can be combined using arbitrary constants to obtain the general solution of the wave equation.
D. There are several partial differential equations that involve special functions other than sines and cosines. Here are three examples:
1. Bessel's Equation: The solutions to Bessel's equation are Bessel functions, denoted as Jₙ(x) and Yₙ(x), where n is a non-negative integer.
2. Legendre's Equation: The solutions to Legendre's equation are Legendre polynomials, denoted as Pₙ(x) and Qₙ(x), where n is a non-negative integer.
3. Hermite's Equation: The solutions to Hermite's equation are Hermite polynomials, denoted as Hₙ(x), where n is a non-negative integer.
These special functions play a crucial role in solving specific types of partial differential equations and have applications in various areas of physics and mathematics.
E. To verify that the wave equation is hyperbolic, we can examine the discriminant D = b² - 4ac of the second-order partial differential equation of the form auₜₜ + buₜₓ + cuₓₓ = 0.
For the wave equation, the coefficients are a = 1, b = 0, and c = 1. Substituting these values into the discriminant formula, we have:
D = 0² - 4(1)(1) = -4
Since the discriminant D is negative (D < 0), we conclude that the wave equation is hyperbolic.
It can be shown that hyperbolic equations can be transformed by a linear change of variables into the standard form of the wave equation.
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A random number generator is used to select an integer from 1 to 200 (inclusively). What is the probability of selecting the integer 99?
The probability of selecting the integer 99 from a random number generator that generates integers from 1 to 200 inclusively is 1/200.
The probability of selecting the integer 99 from a random number generator that generates integers from 1 to 200 inclusively can be calculated by dividing the number of favorable outcomes (selecting 99) by the total number of possible outcomes (selecting any integer from 1 to 200).
Determine the number of favorable outcomes.
In this case, the favorable outcome is selecting the integer 99. Since there is only one 99 in the range from 1 to 200, the number of favorable outcomes is 1.
Determine the total number of possible outcomes.
The total number of possible outcomes is the number of integers from 1 to 200. To calculate this, we subtract the starting number from the ending number and add 1 (since the range is inclusive).
Therefore, the total number of possible outcomes is 200 - 1 + 1 = 200.
Calculate the probability.
The probability of an event happening is the ratio of the number of favorable outcomes to the total number of possible outcomes. In this case, the probability of selecting the integer 99 is 1/200.
So, the probability of selecting the integer 99 from a random number generator that generates integers from 1 to 200 inclusively is 1/200.
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An airline claims that it rarely loses a passenger's checked luggage, and, if checked luggage is lost, 90% of the luggage is recovered and returned to the owner within 24 hours. A consumer group believes the 24-hour recovery rate of lost luggage is actually lower (worse) than the airline's claim. They surveyed a large random sample of the airline's customers and found that 103 of 122 people who had lost luggage were reunited with the missing items within 24 hours. Is this enough evidence to claim the proportion of people who lost luggage with this airline a
The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.
What is a null hypothesis?Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.
It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.
The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.
In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.
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PLEASE I NEED HELP W THIS ASAP THANK YOU GUYS PLEASE
Find the product. Write your answer in standard form.
3) (4x+3)(x2 - 4x + 3)
a. 4r + 13.r? + 9
b. 9 - 13.r+ 4r
c. 13 + 9x2 + 4
d. 4r - 13.rº + 9
Answer:
a. 4x³+13x²+9
Step-by-step explanation:
1. Distribute 4x to every term in the second set of parenthesis to get:
4x³-16x²+12x
2. Distribute 3 to every term in the second set of parenthesis to get:
3x²-12x+9
3. Add/subtract terms with the same variables/degrees:
4x³-16x²+12x+3x²-12x+9
4. The simplified answer is:
4x³+13x²+9
Answer:
4x³ - 13x² + 9
Step-by-step explanation:
(4x + 3)(x² - 4x + 3) =
(4x)(x²) + (4x)( - 4x) + (4x)(3) + 3(x²) + 3( - 4x) + 3(3) =
4x³ - 16x² + 12x + 3x² - 12x + 9 =
= 4x³ - 13x² + 9
simple interest is computed by finding the product of the principal amount, p, and the interest rate, r, and the time t.translate each sentence into an formula
You have that simple interest is computed by the multiplication of p (principal amount), r (interest rate) and t (time).
The previoues sentence can be written algebraically as follow:
I = p x r x t you only have to multiply each factor
where I is the letter for simple interest.
Leah wants to divide x by −5/12. What number should she multiply by x to find the answer?
The number to be multiplied by x to get the answer will be -12/5.
An algebraic expression may be defined as an equation which consists of variables and the arithmetic operations such as division, multiplication, addition and subtraction. It is given that Leah wants to divide x by a number which is -5/12. We know that an algebraic expression needs a variable so x divided by -5/12 can be written as
x ÷ -5/12
In fractional division, we need to find the reciprocal of the divisor fraction and then multiply it with the dividend to find the solution. The expression can be written as
x × -12/5 or we need to multiply -12/5 by x to find the answer.
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jim can paint 5 chairs with 11.3 gallons of paint how many chairs can he paint with 24.86 gallons
Construct a truth table for each of these compound propositions
a) p → ⇁p
b) p ↔ ⇁p
c) p ⊕ (p V q) d) (p ∧ q) → (p V q) e) (p → ⇁p) ↔ (p ↔ q) f) (p ↔ q) ⊕ (p ↔ ⇁q)
After considering the given data we conclude that there truth table is possible and is placed in the given figures concerning every sub question.
A truth table is a overview that projects the truth-value of one or more compound propositions for each possible combination of truth-values of the propositions starting up the compound ones.
Every row of the table represents a possible combination of truth-values for the component propositions of the compound, and the count of rows is described by the range of possible combinations.
For instance, if the compound has just two component propositions, it comprises four possibilities and then four rows to the table. The truth-value of the compound is projected on each row comprising the truth functional operator.
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! if f(x) = x² - 4 and x is greater than or equal to zero, the f inverse (5) equals what
From the given function f(x) = x² - 4, f inverse (5) equals 3
what are inverse functions?An inverse function in mathematics is a function that undoes another function.
In other words, if f(x) yields y, then y entered into the inverse of f yields the output x. x .
An invertible function is one that has an inverse, and the inverse is represented by the symbol f - 1.
Hence inverse functions like in the problem. the output of f(x) when substituted into the input of g(x) gives same out put
f(x) = y = x² - 4 solving for the inverse
y + 4 = x²
x = √(y + 4)
interchanging the variables
y = √(x + 4)
f inverse (5) = √(5 + 4)
= √(9)
= 3
f inverse (5) equals 3
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i need some help......
Answer:
debt
Step-by-step explanation: hope this helps
Hurry I need to get this done
A. 7 - 4 = 3. So, these points are separated by a distance of 3 units.
B. 2 - 1 = 1. So, these points are separated by a distance of 1 unit.
C. 3 - 1 = 2. So, these points are separated by a distance of 2 units.
D. 8 - 4 = 4. So, these points are separated by a distance of 8 units.
So A. is the correct answer.
Answer:
A. (2,4), (2,7)
Hope you could get an idea from here.
Doubt clarification - use comment section
1 Find the sum: 34.7 + 7.5 = ? A. 42.2 OB. 4.22. OC. 422 46
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
add 34.7 and 7.5 by lining up the decimal points and then adding the top and bottom
a lil help? I'm kinda struggling.
Answer:
5.08 cm would be 2 in and 10 in would be 25.4 cm
a bag contains 4 red and 2 blue marbles. three marbles are selected simultaneously. determine the probability that only two are red
Probability to determine only two marbles are red is equal to 0.6.
As given in the question,
Total number of given red marbles in a bag = 4
Total number of given blue marbles in a bag = 2
Number of marbles selected simultaneously from the bag = 3
Condition : Only two marbles are red
Out of 3 marbles to be selected if 2 are red then 1 has to be blue
Probability of taking out 3 marbles where only 2 are red
= ( ⁴C₂ × ²C₁ ) / ⁶C₃
= [4!/ (4-2)!2! ] × [ 2!/ ( 2- 1)!1! ] / 6! / (6-3)!3!
= ( 4 )( 3 ) / ( 5 )( 4)
= 12 / 20
= 0.6
Therefore, probability of selecting three marbles out of 6 with only 2 are red is 0.6.
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Does 4x - 8 = 3x +13 have one solution, no solution or infinite solutions
Answer:
Step-by-step explanation:
Hello! Here are the steps to solve 4x - 8 = 3x + 13
4x - 8 = 3x + 13
+ 8 + 8
____________
4x = 3x + 21
-3x -3x
____________
x = 21
There is one solution because there is only one possibility for x. Let's check the answer.
4(21) - 8 = 3(21) + 13
84 - 8 = 63 + 13
76 = 76
x = 21, x does equal 21 and the answer that there is only one solution is correct.
No solutions would mean that after you solved the equation, you would get something like 9 = 7, 2 = 5, etc. which is not true. No solutions would mean that you would receive a false equation.
Infinite solutions would mean that after you solved an equation, such as 2x = 2y, you would get x = y. There are infinite solutions for this because you can substitute infinite numbers in for x and y. 1 = 1, 2 = 2, 3 = 3, 4 = 4, 5 = 5, etc.
use the accompanying statcrunch session to obtain a simple random sample of 5 high schools in the city of chicago. loading... click on the icon to view the statcrunch session.
Using sampling concepts, one sample of 5 high schools in the city of Chicago is given by:
Brooks, Hyde Park, Young Womens, Marshall, Noble - UIC.
What is the missing information?The problem is incomplete, but researching it on a search engine, it gives us a list of 15 high schools in Chicago, and asks us to take a sample of 5.
What is population and sample?Population: Collection or set of individuals or objects or events whose properties will be studied.Sample: The sample is a subset of the population, and a well chosen sample, that is, a representative sample will contain most of the information about the population parameter. A representative sample means that all groups of the population are inserted into the sample.Hence, from the concepts of sample and populations, the sample of 5 means that we have to select 5 schools from the 15 listed, hence one possible option is given by:
Brooks, Hyde Park, Young Womens, Marshall, Noble - UIC.
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Which ratio statements are correct for the situation below:
Select all that apply.
boys = 4 , girls = 5
1. The ratio of boys to girls is 5:4
2. The ratio of girls to boys is 5:4.
3. For every 5 girls there are 4 boys.
4. For every 4 girls there are 5 boys.
how do I become good at math?
Answer:
pay attention dont slack and always ask questions even about the most littlest things
You roll a number cube 120 times. How many times can you expect the number cube to land on a six?
Answer:
10 or 6
Step-by-step explanation:
pls tell me if im wrong
In a recent election, 63% of all registered voters participated in voting. In a survey of 275 retired voters, 162 participated in voting. Which is higher, the population proportion who participated or the sample proportion from this survey?
The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).
To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.
The population proportion who participated in voting is given as 63% of all registered voters.
This means that out of every 100 registered voters, 63 participated in voting.
In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.
Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .
Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).
Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.
It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.
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Can someone help please, this has been stressing me out
Segment AC bisects angle BAD if the measure of angle BAC is 20 degrees what’s is the measure of angle BAD
Answer:
40°
Step-by-step explanation:
An angle bisector divides an angle into 2 equal angles. 20° x 2 = 40°.
Please hurry I will mark you brainliest
What is the slope of this?
Answer:
Step-by-step explanation:
you can use the rise over run technique, where you count how many units you go down or up, left or right to get to the next point. or use the slope formula :
(y2-y1)/(x2-x1)
the pairs given :
(1,6) and (3,2)
(2-6)/(3-1) = -4/2 = -2
-2 is the slope. the line is going downwards so there is a negative slope
consider the curve given by the equation 3 y xy 2. it can be shown that 2 3 dy y dx y x . (a) write an equation for the line tangent to the curve at the point 1, 1 . (b) find the coordinates of all points on the curve at which the line tangent to the curve at that point is vertical. (c) evaluate 2 2 d y dx at the point on the curve where x 1 and y 1.
The equation for the line tangent to the curve at the point (1, 1) is y = 3x - 2.
(b) The line tangent to the curve at a point is vertical when the slope of the curve is zero. So, we can set the derivative of the curve equation equal to zero to find the x-coordinates of the points at which the line tangent to the curve is vertical.
2 3 dy y dx y x = 0
2 3(2x + y) = 0
2x + y = 0
x = - y/2
So, the x-coordinates of the points at which the line tangent to the curve is vertical are x = -y/2.
(c) We can evaluate 2 2 d y dx at the point (1, 1) by substituting x = 1 and y = 1 into the derivative of the curve equation.
2 3 dy y dx y x = 2 3(2(1) + 1) = 8/3
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helppppppp pleaseeereee
Which number sentence has a product of 42?
7 × (-6)
-6 × 7
-7 × (-6)
-7 × 6
Answer:
-7 × (-6)
Step-by-step explanation:
7 × (-6) = -42
-6 × 7 = -42
-7 × (-6) = 42
-7 × 6 = -42
Answer:
\( - 7 + ( - 6) = 42\)
I hope I helped you^_^