differential cos^2x dy/dx =e^y-tanx​

Answers

Answer 1

Answer:

y=t−1+ce

−t

where t=tanx.

Given, cos

2

x

dx

dy

+y=tanx

dx

dy

+ysec

2

x=tanxsec

2

x ....(1)

Here P=sec

2

x⇒∫PdP=∫sec

2

xdx=tanx

∴I.F.=e

tanx

Multiplying (1) by I.F. we get

e

tanx

dx

dy

+e

tanx

ysec

2

x=e

tanx

tanxsec

2

x

Integrating both sides, we get

ye

tanx

=∫e

tanx

.tanxsec

2

xdx

Put tanx=t⇒sec

2

xdx=dt

∴ye

t

=∫te

t

dt=e

t

(t−1)+c

⇒y=t−1+ce

−t

where t=tanx


Related Questions

Pls I need help ASAP!
Mr.Roberson buys 18 quarts of milk each week for his 5 children. How many gallons of milk does this equal?

Answers

Answer:

4 and a half gallons of milk

Step-by-step explanation:

4 quarts = 1 gallon

16 quarts = 4 gallon

18 quarts = 4 1/2 gallons

a student claimed that the function shown in the table is exponential. do you agree or disagree? explain​

a student claimed that the function shown in the table is exponential. do you agree or disagree? explain

Answers

The correct statement that F: "I agree. The ratios of consecutive x-values are constant, and the y-values are increasing at a constant rate."

To determine whether the function shown in the table is exponential, we need to analyze the relationship between the x-values and y-values.

The table shows x-values that are increasing by a power of 2 (1, 2, 4, 8, 16, 32, 64) and y-values that are increasing by a constant rate of 1 (0, 1, 2, 3, 4, 5, 6).

The constant ratio between consecutive x-values indicates exponential growth or decay.

In this case, the function is growing exponentially because the y-values are increasing at a constant rate.

Based on this information, we can conclude that the function is exponential.

Therefore, we agree with statement F: "I agree. The ratios of consecutive x-values are constant, and the y-values are increasing at a constant rate."

The other statements are incorrect because they do not accurately describe the relationship between the x-values and y-values in an exponential function.

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a student claimed that the function shown in the table is exponential. do you agree or disagree? explain

When an object is weighed on a scale, the number displayed may vary from the object’s actual weight by at most 0.4 pounds. The scale says the object weighs 125.8 pounds. Part A: Write an absolute value inequality that describes the range of the actual weight of the object. Use the variable w to represent the actual weight of the object. Part B: Solve the absolute value inequality for w. Express your answer as a compound inequality.

Answers

The compound inequality that represents the range of the actual weight of the object is 125.4 ≤ w ≤ 126.2.

Part A: The absolute value inequality that describes the range of the actual weight of the object is:

|w - 125.8| ≤ 0.4

Part B: To solve the absolute value inequality, we can break it down into two separate inequalities:

w - 125.8 ≤ 0.4 and - (w - 125.8) ≤ 0.4

Solving the first inequality:

w - 125.8 ≤ 0.4

Add 125.8 to both sides:

w ≤ 126.2

Solving the second inequality:

-(w - 125.8) ≤ 0.4

Multiply by -1 and distribute the negative sign:

-w + 125.8 ≤ 0.4

Subtract 125.8 from both sides:

-w ≤ -125.4

Divide by -1 (note that the inequality direction flips):

w ≥ 125.4

Combining the solutions, we have:

125.4 ≤ w ≤ 126.2

The object is 125.4 ≤ w ≤ 126.2.

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Guys please help! i will mark brainliest to the right answers

Note: in order for me to mark a brainliest 2 people need to answer

Guys please help! i will mark brainliest to the right answersNote: in order for me to mark a brainliest

Answers

Answer:

look at the picture i have attached and tell me what you think???

Step-by-step explanation:

parallel is two lines that go like this \\ or like this =

perpendicular is two lines that go like this +

which is it?

Guys please help! i will mark brainliest to the right answersNote: in order for me to mark a brainliest

Answer:

they are parallel as gradient is the same because in first equation coefficient of x is -2 and in second equation after rearranging equation in form of y= mx + c, m is -2

Please help this mad hard

Please help this mad hard

Answers

Answer:

First Net

Step-by-step explanation:

The first net will be the answer because you can see that the figure has a square base. The first net has a square base as well. Now, the side of the figure has equal triangles, and so does the first net. The first net fits the figure best.

Hope this helps :)

Please help this mad hard

In 2016, 6.76% (1,026) of Cincinnati college and university graduates majored in Registered Nursing. That combined statement provides both the percentage (6.76%) and the number (1,026) of Cincinnati college and university students who majored in Registered Nursing in 2016. Based on that statement, how many students graduated from Cincinnati universities and colleges altogether in 2016? Round to the nearest whole number.

Answers

The total number of students who graduated from the Cincinnati universities and colleges are 15382.

We are given that 6.76 % of Cincinnati college and university graduates majored in Registered Nursing.

The number of the Cincinnati college and university graduates who majored in Registered Nursing = 1026.

We need to find the total number of students that graduated from the Cincinnati universities and colleges altogether in 2016.

Let the total number of students be x.

ATQ:

6.67 % x = 1026

6.67 x = 102600

667 x = 10260000

x = 10260000 / 667

x = 15382.309

Rounding off to the nearest whole number is:

x = 15382.

Therefore, we get that the total number of students who graduated from the Cincinnati universities and colleges are 15382.

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Figure ABCD is a parallelogram. Is it also a rhombus? Why or why not?
D
5m
B
5 m
C
OA. It cannot be determined, because a parallelogram with congruent
adjacent sides may or may not be a rhombus.
B. No, because all four sides are congruent.
C. Yes, because adjacent sides are congruent.
D. No, because adjacent sides are congruent.

Figure ABCD is a parallelogram. Is it also a rhombus? Why or why not?D5mB5 mCOA. It cannot be determined,

Answers

The true statement about the parallelogram is (c) Yes, because adjacent sides are congruent.

How to determine the true statement about the parallelogram

Given that

Figure ABCD is a parallelogram

Such that

Side lengths = 5 cm

This means that

The figure is a square

As a general rule

All squares can be classified as rhombus

This is because a rhombus is a quadrilateral with all four sides of equal length and square is a type of rhombus in which all four sides are equal in length

Hence, the true statement is (c)

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I need help ☹️ anybody know if it’s a b c or d

I need help anybody know if its a b c or d

Answers

Answer:

C

Step-by-step explanation:

it is not a and i belive it is b

If A ⊥ Y and X || Y then

If A Y and X || Y then

Answers

If A ⊥ Y and X || Y, then A ⊥ X (angle A is perpendicular to line X)

If A is perpendicular (⊥) to Y and X is parallel (||) to Y, then A and X are perpendicular to each other. This is because in a plane if a line (X) is parallel to another line (Y), then any line (A) perpendicular to Y will also be perpendicular to X.

To visualize this, imagine that Y is a horizontal line, and A is a vertical line that intersects Y at a right angle. Now imagine that X is another horizontal line that is parallel to Y. Since A is perpendicular to Y, it will also be perpendicular to any line that intersects Y at a right angle, including X.

This relationship between perpendicular and parallel lines is a fundamental concept in geometry, and it has many important applications in fields such as engineering, physics, and architecture. Therefore, If A ⊥ Y and X || Y, then A ⊥ X.

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A 40-lob bag of dog food is $32.99, and a 24-lb
bag is $15.99. How many pounds is a better buy?

Answers

Answer:

The 40-lb bag.

Step-by-step explanation:

A 40-lb bag cost $0.80 per pound while the 24-lb bag cost $1.37 per pound.

Answer: A 24 Ib Bag

Step-by-step explanation:

A 40 Ib bag of dog food price= $32.99

Per Ib costs = 32.99/40 = $ 0.82475

A 24 Ib bag of dog food price= $15.99

Per Ib costs = 15.99/24 = $ 0.66625

Better to buy a 24 Ib bag

What is the equation of the line that is perpendicular to y = 3x + 3 and passes through the point (-6, 9)?
y=-1/3x+3
y=-1/3x+7
y=3x-33
y = 3x + 27

Answers

Answer:

y = - \(\frac{1}{3}\) x + 7

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 3 ← is in slope- intercept form

with slope m = 3

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{3}\) , then

y = - \(\frac{1}{3}\) x + c ← is the partial equation

to find c substitute (- 6, 9 ) into the partial equation

9 = - \(\frac{1}{3}\) (-6) + c = 2 + c ( subtract 2 from both sides )

7 = c

y = - \(\frac{1}{3}\) x + 7 ← equation of perpendicular line

HELP ASAP PLEASE!!
stroller rental at the zoo costs $14.00 per day, but members get an 8% discount. What price do members pay for stroller rental?

Answers

Answer:

$10.08

Step-by-step explanation:

100%=$14

72%= x (cross multiple)

100% × x =72% × $14

100x =1008

divide both sides by 100

100x÷100=1008÷100

x=$10.08

the set of integers between -5 and -9

Answers

Answer:

-6, -7, and -8

Step-by-step explanation:

Pretty simple, just count to the negatives.

Simplify the polynomial, then evaluate for x=3 x^2+2x-3-2x^2+x+4

Answers

Answer:

The answer is

19

Step-by-step explanation:

x² + 2x - 3 - 2x² + x + 4

Group like terms

That's

x² - 2x² + 2x + x - 3 + 4

Simplify

- x² + 3x + 1

when x = 3

We have

(-3)² + 3(3) + 1

9 + 9 + 1

18 + 1

19

Hope this helps you

1.5 units
2 units
3 units
3.5 units


Those are the answer options



I need help fast

1.5 units2 units3 units3.5 unitsThose are the answer options I need help fast

Answers

Answer:

3 units

Step-by-step explanation:

There are 3 squares between them.

What was the significance of the Panic of 1893 to the Populists?.

Answers

Answer:

led the United States into the worst economic depression it had experienced up to that point in its history. Following the collapse of several Wall Street brokerage houses, over 600 banks and 16,000 businesses failed by the end of the year.

woman bought 1.8 kg of chicken and 1.6 kg of meat. The chicken cost N5.40 and the meat cost #6.40. If she had bought 2.4 kg of chicken and 2 kg of meat, how much would she have had to pay?

Answers

The amount the women would pay for 2.4 kg of chicken and 2 kg of meat in total is $15.2

What is the unit price?

The meaning of unit price is a price quoted in terms of so much per agreed or standard unit of product or service

Given that, a woman bought 1.8 kg of chicken and 1.6 kg of meat. The chicken cost $5.40 and the meat cost $6.40,

We need to find, if she had bought 2.4 kg of chicken and 2 kg of meat, how much would she have had to pay,

To find the same, we will first find the unit price of each,

Unit price = total price / total quantity

Since, 1.8 kg of chicken costs $5.40,

Therefore, 1 kg will cost = 5.40 / 1.8 = $3

Similarly,

If 1.6 kg of meat costs $6.40,

Therefore, 1 kg will cost = 6.40 / 1.6 = $4

Now, to find the cost of 2.4 kg of chicken and 2 kg of meat, we will multiply the unit prices to the required quantities,

Therefore,

2.4 kg of chicken will cost = 2.4 x 3 = $7.2

2 kg of meat will cost = 2 x 4 = $8

In total, she had to pay = 8+7.2 = $15.2

Hence, the amount the women would pay for 2.4 kg of chicken and 2 kg of meat in total is $15.2

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A Broadway theater has 490 seats, divided into orchestra, main, and balcony seating. Orchestra seats sell for $140, main seats for $135, and balcony seats for $90. If all the seats are sold, the gross revenue to the theater is $59,100. If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $50,700. How many of each kind of seat are there?

Answers

On solving the provided question, we can say that Using this value for x, write two equations with two unknowns 100 + y + z = 500 => y + z = 500 - 100 and total = 13150

What is a linear equation?

A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

Using this value for x, write two equations with two unknowns.

\(100 + y + z = 500\\y + z = 500 - 100\\\)

\(y + z = 400\\40(100) + 25y + 20z = 13150\\4000 + 25y + 20z = 13150\\25y + 20z = 13150 - 4000\\25y + 20z = 9150\\25y + 20z = 9150\\20y + 20z = 8000\\5y = 1150\\y = 1150%2F5\\y = 230 Main seats\\100 + 230 + z = 500\\z = 500 - 330\\z = 170 Balcony seats\\40*100 = 4000\\25*230 = 5750\\20*170 = 3400\\\)

total = 13150

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What is the equation of the line in slope-intercept form?
-2
=-=x+4
v=-15)+4
5
2
V=--x-4
5
2
V=--x+4

Answers

The equation of the line in slope-intercept form is y = 3x + 4.

We can use the combination formula to determine how many different packages can be created from a set of 24 crayons with 36 different colours.

The formula for the mixture is provided by:

n C r equals n!/r! (n-r)!

where r is the number of items we want to choose, n is the total number of items, and! stands for the factorial of a number, which is the sum of all positive integers up to that number.

In this instance, we are trying to determine how many various methods there are to choose 24 crayons from a set of 36 colours, regardless of the sequence in which they are chosen. Consequently, we can apply the following combination formula:

36 C 24 = 36! / (24! * 12!)

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HELP PLEASEE!! The aquarium has 6 fewer yellow fish than green fish. 40% of the fish are yellow. How many green fish are in the aquarium? Show your work. Show all steps please.

Answers


Green fish: x
Yellow fish: x - 6

So, the total number of fish = x + (x - 6) = 2x - 6

40% of the fish are yellow, so:
0.4 (2x - 6) = x - 6
0.8x - 2.4 = x - 6
- 0.2x = - 3.6
x = 18

Thus, green fish = 18

Consider the right triangle below:
​The length of the missing leg, AC= meters
​​Round your answer to the nearest tenth.
Note: ​Figure not drawn to scale and all the measurements are in meters.

What is the perimeter of triangle ABC

Consider the right triangle below:The length of the missing leg, AC= metersRound your answer to the nearest

Answers

Answer
length of AC = 3.3 meters
perimeter is 14.3 meters

Step by step

We can solve the missing leg length by using Pythagorean theorem a^2 + b^2 = c^2

We know a = 5 and c = 6, find b

5^2 + b*2 = 6^2

25 + b^2 = 36

Subtract 25 from both sides to isolate b

25 - 25 + b^2 = 36 - 25

b^2 = 11

Take square root of both sides to solve

b = 3.31662479

Round to nearest tenth

b = 3.3 meters

Now to find perimeter which is the sum of all sides

5 + 6 + 3.3 = 14.3 meters

give an example of three linearly dependent vectors in r3 such that none of the three is a multiple of another.

Answers

x (-2) + 2x1 - 3x2 + X3 = 0 is  an example of three linearly dependent vectors in R³.

A set of vectors is said to be linearly dependent in the theory of vector spaces if there is no nontrivial linear combination of the vectors that equals the zero vector. The vectors are referred to as being linearly dependent if such a linear combination is present.

A plane's three vectors can rely on each other linearly. They are not scalar multiples if there are no parallel pairs. So, using (1,0,0),(0,1,0), and(1,1,0) as our three vectors, we can see that they are linearly dependent by noting that (1,0,0)+(0,1,0)+(1)(1,1,0)=(0,0,0).

According to this,

x (-2) + 2x1 - 3x2 + X3 = 0 is  an example of three linearly dependent vectors in R³.

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study smarter a scatterplot of versus shows a positive, nonlinear association. two different transformations are attempted to try to linearize the association: using the logarithm of the -values and using the square root of the -values. two least-squares regression lines are calculated, one that uses to predict and the other that uses to predict which of the following would be the best reason to prefer the least-squares regression line that uses to predict

Answers

The best reason to prefer the least-squares regression line that uses to predict is the Standard Deviation of the residuals is smaller.

Least Squares Regression:

Least squares is a mathematical technique that allows analysts to determine the best way to fit a curve to a graph of data points. It is commonly used to make scatterplots easier to interpret and is associated with regression analysis. Least squares is now available as part of most statistical software programs.

There are two least-squares regression lines, one to predict log(y) using x and the other to use for prediction.

a. A small value of means that the variance is explained poorly compared to the model that predicts instead, and thus the model is a poorer model. Therefore, there is no compelling reason to choose a model that predicts logic in.

b. If the standard deviation of the residuals is not too high, there will be less variability between the actual and predicted values, and thus the model will be more accurate. Therefore, there are compelling reasons to favor a model that predicts.

C. The magnitude of the slope has no effect on whether a model is good or bad, so it's not the best reason to favor a model that expects log y and  x.

d. The presence of more random variation in the number of residuals does not necessarily indicate a superior model. The reason for this is that the variation between the expected and actual values ​​is large, which can lead to large variability. This means that there is no compelling reason to prefer a model that uses to predict log y. It is normal that the distribution of residuals of residuals does not affect model quality. As a result, this is not the best reason.

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Anyone know where I can get the awsners for these? The top of the paper says ACT Skills Prep, Week 1

Anyone know where I can get the awsners for these? The top of the paper says ACT Skills Prep, Week 1

Answers

Answer:

More than likely no full answer key however there might be answers for each individual question.

A packet of 200 envelopes is 1.2cm thick.calculate the thickness of one envelope.the packets of 204 loop is 1.2 cm ​

Answers

Answer:

0.006 cm

Step-by-step explanation:

1.2 cm per 200 envelopes =

= 1.2/200 cm/envelope

= 0.006 cm/envelope

A sealed, inflated balloon is placed into a flask of liquid nitrogen at a temperature of 77 k. The ballon begins to shrink and shrivel up. Use gas particle motion to explain why.

A sealed, inflated balloon is placed into a flask of liquid nitrogen at a temperature of 77 k. The ballon

Answers

This causes the volume of the balloon to decrease, leading to an increase in the number of collisions between gas particles and the inside surface of the balloon, and causing the balloon to shrink and shrivel up.

What is temperature?

Temperature is a measure of the average kinetic energy of the particles in a substance or system. In other words, it is a measure of how hot or cold something is relative to a standard reference point. The SI unit of temperature is the kelvin (K), but temperature is often measured in degrees Celsius (°C) or Fahrenheit (°F) in everyday life. Temperature plays a crucial role in many natural and man-made processes, and is a key factor in determining the behavior of matter at different states.

Here,

When a sealed, inflated balloon is placed into a flask of liquid nitrogen at a temperature of 77 K, the gas particles inside the balloon lose thermal energy and slow down. As the temperature drops, the average kinetic energy of the gas particles decreases, causing them to move slower and collide less frequently. This results in a decrease in pressure inside the balloon.

According to the Ideal Gas Law, PV = nRT, where P is the pressure of the gas, V is its volume, n is the number of moles of gas, R is the gas constant, and T is the temperature in Kelvin. As the pressure inside the balloon decreases, its volume also decreases, since the number of moles of gas and the gas constant remain constant.

Since the balloon is sealed, the gas particles cannot escape, so they continue to collide with each other and the inside surface of the balloon. As the volume of the balloon decreases, the gas particles become more crowded, increasing the number of collisions between them. This leads to a decrease in the distance between the gas particles and the inside surface of the balloon, causing the balloon to shrink and shrivel up.

In summary, when a sealed, inflated balloon is placed into a flask of liquid nitrogen at a temperature of 77 K, the gas particles inside the balloon lose thermal energy, slow down, and collide less frequently, resulting in a decrease in pressure inside the balloon.

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I need help with this question

I need help with this question

Answers

Take a picture of your work and send it so I can help you

12) Armani gets paid $9 an hour to paint. If he works for
5 12 hours, how much money will he make?

Answers

Answer:

multiply 9*512= 4,608

Step-by-step explanation:

$540 should be the answer!

A speed limit of 65mph

Answers

If your car is traveling 65 miles per hour, then it is also going 343,200 feet (65 × 5,280 = 343,200) per hour. Then, you can divide the total feet per hour by 60, and you know that your car is traveling 5,720 feet per minute.

Define you’re available, write an inequality, solve.

You want to spend at most $14 on a carriage ride. The driver tells you there is an initial charge of eight dollars plus $.75 per mile. Find how many miles you can ride.

Answers

Answer:

\(0.75x+8\leq 14\)

8 miles at most

Step-by-step explanation:

since it’s 0.75 miles we can set the miles to x and then add that +8 for the fee and we set it less than or equal to 14 since that is at most we want to spend

0.75x+8<=14

        -8.    -8

0.75x<=6

/0.75. /0.75

x<=8

8 miles at most

Hopes this helps please mark brainliest

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