the base of s is the triangular region with vertices (0, 0), (4, 0), and (0, 4). cross-sections perpendicular to the x−axis are squares. Find the volume V of this solid.
Answers
The height of each square cross-section is given by y = -x + 4. Substituting this value of y in the integral expression, we get V = ∫[0,4] (-x+4)^2 dx. Expanding the square and integrating, we get V = (1/3)(4^3) = 64/3 cubic units.
The base of S is the triangular region with vertices (0,0), (4,0) and (0,4). Cross-sections perpendicular to the x-axis are squares. We can find the volume of the solid by integrating the area of each square cross-section along the length of the solid.The height of each square cross-section will be equal to the distance between the x-axis and the top of the solid at that point.
Since the solid is formed by stacking squares of equal width (dx) along the length of the solid, we can express the volume as the sum of the volumes of each square cross-section. Therefore, we have to integrate the area of each square cross-section along the length of the solid, which is equal to the distance between the x-axis and the top of the solid at that point.
Hence, the volume of the solid is given by V = ∫[0,4] y^2 dx. The height y can be determined using the equation of the line joining the points (0,4) and (4,0). Slope of line passing through (0,4) and (4,0) is given by (0-4)/(4-0) = -1. The equation of the line is y = -x + 4.
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Related Questions
Wallpaper is sold in rolls that are 2 feet wide. What is the minimum length you would need to purchase to cover the wall?.
Answers
The minimum length you would need to purchase to cover the wall if 60 feet covers the wall is 28 feet.
What is the minimum length you would need to purchase to cover the wallAssume the wallpaper is a rectangle
Perimeter of a rectangle = 2(L + W)
Perimeter of the wallpaper = 60 feet
Width of the wallpaper = 2 feet
Length of the wallpaper = L
Perimeter of a rectangle = 2(L + W)
60 = 2(L + 2)
open parenthesis
60 = 2L + 4
subtract 4 from both sides
60 - 4 = 2L
56 = 2L
divide both sides by 2
L = 56/2
L = 28 feet
Hence, 28 feet is the minimum length of the rectangle.
Complete question:
A wallpaper is sold in rolls that are 2 feet wide what is the minimum length you would need to purchase to cover the wall if 60 feet covers the wall.
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keesha bought 24 feet of ribbon. how many yards did she buy? (This is set up as simple measurment problsm.)
Answers
Answer:8 feet
Step-by-step explanation: since it takes 3 feet to make a yard 24 divided by 3 is 8 so the answer is 8
have a new hobby - a saltwater fish tank that will contain mostly live corals (called a reef tank). i am currently in the planning stage and am gathering knowledge to give me the best chance of success with my tank. as part of the planning stage, i reached out to 700 experienced central florida reefers (people who currently have a reef tank) and asked them to provide the following information: size of the tank (in gallons), type of lighting used (florescent, led, hybrid, or other), and how long (in years) they have been in the hobby. part of the analysis involves trying to estimate the proportion of all central florida reefers who use led lighting. a 95% confidence interval was constructed to be: (.755, .816). the sample proportion reported was .7855. was the sample size considered large in the construction of this confidence interval? group of answer choices no, since n is less than 30. yes, since n is at least 30. yes, since np and nq are both at least 15. no, since np and nq are not both at least 15.
Answers
This indicates that the sample size was large enough to construct a reasonably precise confidence interval.
Since n is at least 30" or "yes, since np and nq are both at least 15."
The sample size, we cannot definitively choose between these two options.
Information provided; the sample size is not explicitly stated.
Determine whether the sample size is considered large enough for the construction of a confidence interval based on the conditions for using a normal approximation to the binomial distribution.
One condition is that np and nq are both at least 15, where n is the sample size, p is the proportion of interest (in this case, the proportion of central Florida reefers who use LED lighting), and q is the complement of p (i.e., 1-p). This condition ensures that the distribution of the sample proportion is approximately normal.
Another condition is that the sample size is large enough that the standard error of the sample proportion (sqrt[pq/n]) is small enough to use a normal approximation.
This condition is not explicitly stated, but it is typically considered to be met when n is at least 30.
Since we do not know the sample size, we cannot directly determine whether the conditions are met.
That a 95% confidence interval was constructed with an interval estimate of (.755, .816) and a sample proportion of .7855.
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Question 3: A swimmer is trying to cross a river with width 2 km. He can swim in the still water at a speed of 2.5 km/hr while the current of the river is flowing at 1 km/hr. Determine the resultant velocity and the how far down stream will he end up once he crosses the river.
Answers
The swimmer will end up 2.8 km downstream of where he started.
How to calculate the distance downstreamIn this case, the swimming speed is 2.5 km/hr and the current velocity is 1 km/hr. Therefore, the resultant velocity is:
Vr = 2.5 km/hr + 1 km/hr = 3.5 km/hr
The swimmer will end up 3.5 km downstream of where he started. This is because the resultant velocity is in the direction of the current.
To calculate the distance downstream, we can use the following equation:
D = Vr * t
Where
D is the distance downstreamVr is the resultant velocityt is the time it takes to cross the riverThe time it takes to cross the river can be calculated using the following equation:
t = d / v
Where
t is the time it takes to cross the riverd is the distance across the riverv is the swimming speedIn this case, the distance across the river is 2 km and the swimming speed is 2.5 km/hr. Therefore, the time it takes to cross the river is:
t = 2 km / 2.5 km/hr = 0.8 hr
Substituting the values of Vr and t into the equation for D, we get:
D = 3.5 km/hr * 0.8 hr = 2.8 km
Therefore, the swimmer will end up 2.8 km downstream of where he started.
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*NEED ANSWER ASAP* What are the digits that repeat in the smallest sequence of repeating digits in the decimal equivalent of 1/9?
Answers
Answer:
= 0.1111111... = 0.1 (repeating)
Thus, 1 is the only repeating digit that is repeating the infinite number of times
Step-by-step explanation:
Answer:
1 is repeating
Step-by-step explanation:
I need points
The regular price for a T-shirt is $25 and the regular price for a pair of jeans is $75. If the T-shirt is sold at a 30% discount and the jeans are sold at a 10% discount, then
the total discount is
Answers
Answer:
$7.50
Step-by-step explanation:
Discount for t-shirt:
30/100 × $25 = 30/4 × 1
= 30/4
= $7.50
Discount for a pair of jeans:
10/100 × $75 = 10/4 × 3
= 30/4
= $7.50
Total discount:
= $7.50 + $7.50
= $15
Answer:
$7.50
Step-by-step explanation:
Discount for t-shirt:
30/100 × $25 = 30/4 × 1
= 30/4
= $7.50
Discount for a pair of jeans:
10/100 × $75 = 10/4 × 3
= 30/4
= $7.50
Total discount:
= $7.50 + $7.50
= $15
5.
The number of days a group of 200 homes is on the market is normally
distributed with a mean of 50 and a standard deviation of 12. Label the
normal distribution curve, then answer the questions.
a. What percent of the homes are on the market between 14 and 86 days?
b. What is the probability that a home is on the market for 62 days or more?
C. Approximately how many homes were on the market between 26 and 50
days?
Answers
Using the normal distribution, given the graph at the end of this problem, we have that:
a. 99.74% of the homes are on the market between 14 and 86 days.
b. 0.1587 = 15.87% probability that a home is on the market for 62 days or more.
c. Approximately 95 homes were on the market between 26 and 50 days.
Normal Probability DistributionIn a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
The mean is of 50, hence \(\mu = 50\).The standard deviation is of 12, hence \(\sigma = 12\).Item a:
The proportion is the p-value of Z when X = 86 subtracted by the p-value of Z when X = 14, hence:
X = 86:
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{86 - 50}{12}\)
\(Z = 3\)
\(Z = 3\) has a p-value of 0.9987.
X = 14:
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{14 - 50}{12}\)
\(Z = -3\)
\(Z = -3\) has a p-value of 0.0013.
0.9987 - 0.0013 = 0.9974.
0.9974 = 99.74% of the homes are on the market between 14 and 86 days.
Item b:
The probability is 1 subtracted by the p-value of Z when X = 62, hence:
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{62 - 50}{12}\)
\(Z = 1\)
\(Z = 1\) has a p-value of 0.8413.
1 - 0.8413 = 0.1587.
0.1587 = 15.87% probability that a home is on the market for 62 days or more.
Item c:
The proportion is the p-value of Z when X = 50 subtracted by the p-value of Z when X = 26, hence:
X = 50:
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{50 - 50}{12}\)
\(Z = 0\)
\(Z = 0\) has a p-value of 0.5.
X = 26:
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{26 - 50}{12}\)
\(Z = -2\)
\(Z = -2\) has a p-value of 0.0228.
0.5 - 0.0228 = 0.4772.
Out of 200 homes:
0.4772 x 200 = 95.4
Approximately 95 homes were on the market between 26 and 50 days.
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find the value of cos θ if sin θ=1/2;0 degrees< θ< 90 degrees
Answers
Answer:
cosΘ = \(\frac{\sqrt{3} }{2}\)
Step-by-step explanation:
sin²Θ + cos²Θ = 1 ( subtract sin²Θ from both sides )
cos²Θ = 1 - sin²Θ ( take square root of both sides )
cosΘ = ± \(\sqrt{1-sin^20}\)
= ± \(\sqrt{1-(\frac{1}{2})^2 }\)
= ± \(\sqrt{1-\frac{1}{4} }\)
= ± \(\sqrt{\frac{3}{4} }\)
= ± \(\frac{\sqrt{3} }{2}\)
since 0° < Θ < 90° , then
cosΘ = \(\frac{\sqrt{3} }{2}\)
With a 95% confidence interval for the mean that goes from a lower value of 107 to an upper value of 133 , the margin of error would be ? (use one decimal) Question 11 3 pts Assessment records from 2017 indicate that the values of all homes in Knox County, Tennessee were normally distributed with a mean of $223,400. To check the for a change in assessment value, officials conducted a detailed appraisal of 25 homes selected at random, and found that the average value for the selected homes was $198,000 and a standard deviation of $75,000. Using t∗=1.711 for a 90% confidence interval, what is the margin of error for the interval? Report no decimals, round to nearest whole number (like 5,267)
Answers
m = z * (s / n) = 1.96 * (75000 / 2500) = 582.48 (to the next decimal point)
The margin of error is therefore 582.5 (rounded to one decimal place).
The correct answer is 582.5 (rounded to one decimal point).
The margin of error in a confidence interval may be calculated as follows: m = z * (s / n), where m is the margin of error, z is the z-score, s is the standard deviation, and n is the sample size.
We may deduce the following values from the problem:
Lower confidence interval value = 107
The upper bound of the confidence interval is 133.
Z-score for a 95% confidence interval = 1.96 (since we're working with a normal distribution) Mean = (lower value + higher value) / 2 = (107 + 133) / 2 = 120
Using the margin of error formula
To correct the inaccuracy, we may write: m = z * (s / n)
We're looking for the margin of error (m) here. We already know the z-score and mean, but we need to figure out the standard deviation (s) and sample size (n).
Because we have the sample standard deviation (s), we can use it to determine the population standard deviation ().
We are not provided the sample size (n), but because we know the sample is normally distributed and are given the mean and standard deviation, we may utilize the t-distribution rather than the ordinary normal distribution. The t-distribution takes sample size into consideration and offers a more precise estimation of the margin of error.
The t-value for a 90% confidence interval is presented to us (t* = 1.711).
To get the sample size, we will use the standard error of the mean (SEM) formula:
SEM = s / √n
When we rearrange the equations, we get: n = (s / SEM)2
Using the supplied data, we obtain: n = (75000 / 150)2 = 2500
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Is this a solution or an inequality? 5 - x < 8; x = -3
Answers
Answer:
no, x=-3 is not a solution
Step-by-step explanation:
Plug in -3 as x.
5-(-3)<8
Distribute the -1 to the -3.
5+3<8
Add the 5 and 3.
8<8
8 is not less than 8, so -3 is not a solution to the inequality.
HTH :)
After 20,% discount a mobile set is bought at rupees 13920 find the marked price of the mobile set. Maths question
Answers
Step-by-step explanation:
First of all, let us lay down the clues;
●There is a 20% discount on the mobile set.
●The price after the discount is Rs 13 920
●We need to find the original price.ie.(100% stands for original price)
Now let's start;As there is a 20% Discount on the m.Set, we need to find the exact percentage decrease.
So,
100%-20%= 80%
Now let's do Direct Proportion,
80%= Rs 13 920
1%= 13 920/80
100%= 13 920/80*100=Rs 17 400
Your FINAL ANSWER;RS 17 400
Select each expression that has a value of 15 when x = 15 D A - 10 3 DB 15.521 * * OC (3,015 - ) - 186 OD 2022-30 DE -25 what is the answer?
Answers
The expressions that have a value of 15 when x = 15 include the following:
A. x/3 + 10
C. (3,015 ÷ x) - 186
How to evaluate each of the expression?Based on the information provided, we would determine the output value of each of the given expression by substituting 15 for the value of x as follows;
Expression = x/3 + 10
Expression = 15/3 + 10
Expression = 5 + 10
Expression = 15 (True).
Expression = 15,521 ÷ x
Expression = 15,521 ÷ 15
Expression = 1034.73 (False).
Expression = (3,015 ÷ x) - 186
Expression = (3,015 ÷ 15) - 186
Expression = 201 - 186
Expression = 15 (True).
Expression = 20x² ÷ 30
Expression = 20(15)² ÷ 30
Expression = 4500 ÷ 30
Expression = 150 (False).
Expression = 20x²/5 - 25
Expression = 20(15)²/5 - 25
Expression = 900 - 25
Expression = 875 (False).
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
True or False:
2.4 ÷ 0.6 =
0.04 x 6 =
Answers
Answer:
false
Step-by-step explanation:
Find the 50th term of an arithmetic sequence 5, 10, 15,
20, 25,...
Answers
Answer:
a₅₀ = 250
Step-by-step explanation:
the nth term of an arithmetic sequence is
\(a_{n}\) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 5 and d = a₂ - a₁ = 10 - 5 = 5 , then
a₅₀ = 5 + (49 × 5) = 5 + 245 = 250
can some one do my homework plz
Over winter break, Alex took a trip to Montana and recorded the temperatures for the week. The temperature for the first six days of his trip are listed below. If the average temperature for the week he was on vacation was 1.2 degrees Fahrenheit, what was the temperature for Sunday?
Monday -5.3F
Tuesday 3.6F
Wednesday 6.7F
Thursday 0F
Friday 10F
Saturday -4.3F
Sunday ?F
Answers
Answer:
just look at the picture
Please help me 10 points i just joined today ;)
Answers
Answer:
y=2x+4
Step-by-step explanation:
2 is the slope, you can see that with rise over run. 4 is the y intercept
Answer:
y=2x+4
Step-by-step explanation:
Look at the y-axis if the point that touches the y-axis is 4
Then the slope is 2
you go down 2 which is -2 (Since down is negative)
and you go left 1 which is -1 (Since left is negative)
now the equation looks like this:
y=-2/-1x+4
Simplify: (negative and negative cancel each other out making it positive)
y=2x+5
c. Using systematic random sampling, every seventh dealer is selected starting with the fourth dealer in the list. Which dealers are included in the sample
Answers
The dealers included in the sample using systematic random sampling are those dealers numbered 4, 11, 18, 25, 32, and so on, depending on the total number of dealers in the list.
To determine which dealers are included in the sample using systematic random sampling, we need to start with the fourth dealer in the list and select every seventh dealer thereafter. Let's assume we have a list of dealers numbered sequentially from 1 to N. In this case, we will start with the fourth dealer. The dealers included in the sample will be:
Dealer 4, Dealer 11, Dealer 18, Dealer 25, Dealer 32, and so on.
We can see that every seventh dealer starting from the fourth dealer is included in the sample. The pattern continues with an increment of seven for each subsequent dealer.
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Question 3 The Schwarzschild metric is given by 2M 2M ds² -(₁-²M) di² + (1-²¹)- 1- dr² +r² (d0² + sin² 0 dó²). There are Killing vectors associated with time invariance and angular momen- tum invariance in the direction in this geometry leading to the conserved quantities e = (1-2) and l= r² sin² 0 dr From this one can derive an analog to the radial energy equation in Newtonian mechanics by orienting the coordinates so that the orbits are confined to the equatorial plane where 0 = π/2 and u = 0. One finds 2 1 dr + Veff (r) = E 2 dr (e²_ -1) where E = and Veft(r) = - + 2/²/²2 - Mp³². Further, for circular orbits one can show that M | [₁ + √/₁−12 (+1)]. r+= | 2M Finally, for circular orbits of radius R do 1/2 M dt R³ (a) Which value of r corresponds to the Schwarzschild radius of stable circular orbits: r or r? Justify your answer. [3 marks] (b) Show that for circular orbits of radius R do 1/2 M -1/2 3M (²) ¹² (1-³) dT R³ R where is the proper time. [6 marks] (c) A free particle is moving in a circular orbit around a spherical source of curvature of mass M. The Schwarzschild radius of the orbit is 8M. Use the equivalence principle to argue that the period as measured at infinity should be larger than that measured by the particle. [4 marks] (d) Find the period of the orbit as measured by an observer at infinity. Find the period of the orbit as measured by the particle. [7 marks] M
Answers
(A) Circular orbits of stable particles are possible at radii greater than three times the Schwarzschild radius for the non-rotating spherically symmetric mass.
This represents the radius of a black hole's event horizon, within which nothing can escape. The Schwarzschild radius is the event horizon radius of a black hole with mass M.
M can be calculated using the formula: r+ = 2Mwhere r+ is the radius of the event horizon.
(B) 1/2 M -1/2 3M (²) ¹² (1-³) dT = R³ R. This is the required expression.
Tau is the proper time of the particle moving around a circular orbit. Hence, by making use of the formula given above:1/2 M -1/2 3M (²) ¹² (1-³) dT = R³ dt.
(C) Time passes differently in different gravitational fields, and it follows that the period as measured at infinity should be larger than that measured by the particle.
The principle of equivalence can be defined as the connection between gravitational forces and the forces we observe in non-inertial frames of reference. It's basically the idea that an accelerating reference frame feels identical to a gravitational force.
(D) The period of the orbit as measured by an observer at infinity is 16π M^(1/2) and the period of the orbit as measured by the particle is 16π M^(1/2)(1 + 9/64 M²).
The period of orbit as measured by an observer at infinity can be calculated using the formula: T = 2π R³/2/√(M). Substitute the given values in the above formula: T = 2π (8M)³/2/√(M)= 16π M^(1/2).The period of the orbit as measured by the particle can be calculated using the formula: T = 2π R/√(1-3M/R).
Substitute the given values in the above formula: T = 2π (8M)/√(1-3M/(8M))= 16π M^(1/2)(1 + 9/64 M²).
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A 6 foot ladder is placed against a wall with its base 2 feet from the wall. How high up the wall is the top of the ladder?
Answers
Answer:
5.66 feet
Step-by-step explanation:
a^2 + b^2 = c^2
2^2 +b^2 = 6^2
square root of (36-4) = b
b= 5.66 feet
Graph the system of equations. y = 2x y = –x + 6 Two lines on a coordinate plane that intersect at the point 2 comma 4. One line has y intercept 0 and the other has y intercept 6. Two lines on a coordinate plane that intersect at the point negative 2 comma negative 4. One line has y intercept 0 and the other has y intercept negative 6. Two lines on a coordinate plane that intersect at the point 1 comma 2. One line has y intercept 0 and the other has y intercept 3. Two lines on a coordinate plane that intersect at the point 3 comma 3. One line has y intercept 0 and the other has y intercept 6.
Answers
The solution to the systems of equations graphically is (2, 4)
Solving the systems of equations graphicallyFrom the question, we have the following parameters that can be used in our computation:
y = 2x
y = -x + 6
Next, we plot the graph of the system of the equations
See attachment for the graph
From the graph, we have solution to the system to be the point of intersection of the lines
This points are located at (2, 4)
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what is 8(4 - x) = 7x + 2
Answers
Answer: x = 2
Step-by-step explanation:
8(4 - x) = 7x + 2= 8(-x + 4) = 7x + 2= -8x + 32 = 7x + 2= -8x + 32 - 32 = 7x + 2 - 32= -8x = 7x + 2 - 32 = -8x = 7x = 30= -8x - 7x = 7x + 30 - 7x= -15x = 7x - 30 - 7x= -15x = 30 -15x/-15 = -30/-15 = x = -30/-15= x = 2And thats how you get the answer!
help ill give brainliest pls only answer if ur sure u have the correct answer
Answers
Answer:
6/81
Step-by-step explanation:
Answer:
2/3
Step-by-step explanation:
Well, since the denominators are the same, we can just add the numerators. 2+4=6, so you get 6/9.
Simplify, and you get 2/3!
Hope this helps!
3) Solve 5(x + 3) - 3x = 55 for x. Use mathematical properties to justify each step in the process.
Step 1
Step 2
Step 3
Step 4
Step 5
Answers
solution
5(x+3)-3x=55
5x+15-3x=555x-3x+15=552x+15=552x=55-152x=402x/2=40/2x=20angles M and N are supplementary find angle M if angle N=27
Answers
Answer:
153°
Step-by-step explanation:
Supplementary = 180 degrees
180 - 27 = 153 degrees
Answer:
153 degrees
Step-by-step explanation:
When two angles are supplementary, their angle measures must add up to 180 degrees. Therefore:
M+N=180
M+27=180
M=180-27=153
Hope this helps!
Sierra plays a hockey video game. She earns 5 stars for every goal she scores and loses 1/2 star every time she misses the goal. She scores 4 goals and misses the goal 8 times. How many stars does she have?
Answers
Answer:
Sierra would have 16 points
Step-by-step explanation:
5×4=20
8×\(\frac{1}{2}\)=4
20-4=16
Find a possible middle term to make this polynomial factorable:
X2 +____+ 20
A) 12x
B) 13x
C) 7x
D)3x
Answers
The middle term to make this polynomial factorable (x + 10)(x + 2) will be 12x. Then the correct option is A.
What is a factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The possible middle term to make this polynomial factorable will be
⇒ x² + 12x + 20
⇒ x² + 10x + 2x + 20
⇒ x(x + 10) + 2(x + 10)
⇒ (x + 10)(x + 2)
Then the correct option is A.
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OX and OY are two straight lines which intersect at an acute angle of 60°. OX = 4.5cm and OY = 5cm . The point M is on OX such that OM = 2MX Find a point P within the acute angle formed by OX and OY which is always the same distance from OX and OY and 3 cm from M.
Answers
Therefore the point P is at 3.46 cm from O and it lies on the angle bisector of ∠XOY
What is an Angle Bisector ?The ray that bisects the angle into half is called Angle Bisector.
It is given that ∠XOY = 60 degree
the length of OX = 4.5 cm
OY =5 cm
The point M is on OX such that
OM = 2 MX
so The M is at 3 cm from O
The point P lies in the acute angle such that the distance between point P and OX and OY is always same and at 3 cm from M
According to the angle bisector theorem converse states that if a point is in the interior of an angle and is at equal distance from the sides then it lies on the bisector of that angle.
As it can be seen from the image that a point equidistant from the rays , at 3 cm from M will be at
By Pythagoras Theorem
3² +3² = OP²
OP = 2\(\sqrt{3}\) = 3.46 cm from O
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25 POINTS - Need ASAP . Answer word problem attached.
If you answer just for points I won’t hesitate to report so don’t try pls!
Answers
Answer:
0.82
Step-by-step explanation:
82/100 as a fraction is equal to 0.82
Find the derivative for y=eu(x); u(x) is a function in terms of x.
Answers
The derivative for y=eu(x); u(x) is a function in terms of x is dy/dx = eu'(x) + u(x)e .
A derivative is the rate of change of a function with respect to a certain variable . There are certain rules of differentiation which help us to evaluate the derivatives of some particular functions. :
Power Rule.Sum and Difference Rule.Product Rule.Quotient Rule.Chain Rule.This equation can be solved using the product rule of derivatives :
According to the product rule derivative of uv will be taken as -
u(v)' + v(u)'
where (') represents derivative of the variable.
Therefore accordingly -
y = eu(x)
differentiating with respect to x
dy/dx = e(u(x))' + u(x)(e)'
dy/dx = eu'(x) + u(x)e ( derivative of e=e)
Therefore the derivative in terms of x is dy/dx = eu'(x) + u(x)e .
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Shelley just finished a new book about a time-traveling magician. She read the same amount every day and completed the book in just 10 days! The book had 85 pages. How many pages did Shelley read each day?
Answers
The reads 8.5 pages each day
Answer:
8 1/2
Step-by-step explanation: