Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the curves x = 0, y = 1, x = y° , about the line y = 1.

Q: dw at t = 4 for the function w(x, y) = e y - In x; x = t 2, y = Int. Evaluate dt O 1 2

A: Given that       w(x,y) = ey - ln x         x = t2 ,  y = ln t 

Q: A board 5 feet long slides down a wall. At the instant the bottom end is 4 feet from the wall, the o...

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Q: In the 2000 U.S. Census, a small city had a population of 55,000. By 2010, the population had reache...

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Q: Verify: cos? x tan? x- 1 1. -1 cos2 x

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Q: For what values of x d X = II

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Q: Consider the vector field F = (7x + 3y, 3x + 2y) Is this vector field Conservative? ( Conservative I...

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Q: dy 1 dx xlnx x²Inx

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Q: The point P (2,3) lies on the ellipse 8a² + 2y² = c. Determine the value of c and write the point-sl...

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Q: Exercises (12): 1. Can Rolles theorem applicable for the function y = sin3x in [0, ] If then find th...

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Q: Which angles are complementary to each other? 34 1.

A: We can find the required answer as below.

Q: 14)A5ft tall a street light that is 2oft öábove the ground. what is the rate of change of the length...

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Q: fa- (4 – 3 cos x) sin? x dx

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Q: Find the derivative of the following functions using the definition of the sine and cosine function....

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Q: Find the derivative of the function. 7 x - 3 y'(x) = Need Help? Read It

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Q: Given: f(x) = x + Vx; xo = 1 a) Find the instantaneous rate of change of y with respect to x at an a...

A: NOTE: Refresh your page if you can't see any equations. . to find the instantaneous rate of change,...

Q: Given the graph of f, sketch a graph for: a. – f(- x) + 3 b. 4f(4x) 5+ f(x) 5. -5 -5+

A: Graph

Q: dy = ay + b whose dt Write down a differential equation of the form solutions all approach y 3 as t ...

A: Given,dydt= ay+bdyay+b = dtLet  ay+b=zdifferentiating both sides       a dy = dzSo,dzaz=dt1a. dzz=dt...

Q: S sec(Vx) tan(/x)dx II 2 sin x 3 |cosx

A:

Q: 5. Find a polynomial with real coefficients that has the zeros 2,3i, and -3i. (Write it without comp...

A: zeros is given 2, 3i, -3i

Q: 2. х?уз- Зху %3 4х + у+1 at (0, - 1)

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Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT. 1...

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Q: The indicated function y, (x) is a solution of the given differential equation. Use reduction of ord...

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Q: For t in years since 2010, daily oil consumption in China, in thousands of barrels, was approximated...

A: NOTE: Refresh your page if you can't see any equations. . here leading coefficient is positive and ...

Q: Solve the initial value problem: (y² – y³)dx + (1 + 4xy – 4xy²)dy = 0, y(÷) = 2.

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Q: Find the derivative of the function. y = x*V25 - x²

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Q: On the grid below: a) Graph & label each and all transformations using different colour pens of g(x)...

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Q: Given: f (x) = x + vx ; xo = 1 a) Find the instantaneous rate of change of y with respect to x at an...

A: NOTE: Refresh your page if you can't see any equations. . take x=1 the point on the graph is 

Q: Find the average of the function h (x) = 4x² – x + 5 on the interval [-2,3]. %3D Average=

A: h(x)=4x2-x+5 on the interval -2, 3

Q: Let f (2) = 2 22 +6 x + 5 . We will use the definition of derivative to find the deivative of f (æ)

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Q: Evaluate the integral. | sec (3x +2) dx sec (3x + 2) dx =

A: Let 3x+2 = t

Q: 1 dx

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Q: A single row operation was performed on the matrix on the left to produce the matrix on the right. U...

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Q: Given F(2) = 1, F' (2) = 5, F(4) = 3, F' (4) = 7 and G(4) = 2, G' (4) = 6, G(3) = 4, G' (3) = 11, fi...

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Q: Solve for z. (a) z2 + 2z + 5 = 0 (b) z3 = 8 (c) 25 = 1

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Q: Find the general solution. (x³+3xy²)dx + (y³ +3x²y)dy=0 O a. x4-y4-6x²y² = c О а. O b. x*+y*+6x?y? =...

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Q: Simplify: 1 2 3 3 2 + 2 1 1 2 2 2 3 4 5 6.

A: We will simplify the given operation of matrix in the following step.

Q: If f (x) =find the equation for the tangent line to f (x) at x=0 e* For the toolbar, press ALT+F10 (...

A: Given problem:- If f(x) = x/ex find the equation for the tangent line to f(x) at x=0

Q: Test the series below for convergence using the Root Test. 3n 10n + 4 n=1

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Q: x3+2x dx x2+1

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Q: Water is being pumped into a swimming pool at the rate of 5 gal per min. Initially, the pool contain...

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Q: A soft-drink vendor at a popular beach analyzes his sales records and finds that if he sells x cans ...

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Q: Consider the following. cos(x) + Vỹ = 3 (a) Find y' by implicit differentiation. y'= (b) Solve the e...

A: We have to find y' by different method as p[er given in question.

Q: xdy- ydx = 2x(x2+ y²)dx

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Q: dy by implicit differentiation for each of the following equations. dx Determine 7. x2ey + Iny = x3 ...

A: Given that      x2ey + ln y = x3 

Q: Evalúa el conmutador [A, B], considerando las siguientes situaciones: a) A= d/dx B=x f(x)=xe2 bA= x ...

A: We will use the formula- [X^,p^]f(x)=x^[p^{f(x)}]- p^[x^{f(x)}]  

Q: Use the Chain Rule to find dw for w = dt xe7,x = t2,y =1- t,z = 1+ 2t.

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Q: For the function: f(x) = 4x – 1, find f(z) – f(a) a. Preview f(z +h) - f(x) b. Preview %3D

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Q: (x* – 3e*+ Se²)

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Q: 2. Y = (5x³ + 2)6 ;y"

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 4 x 5 y = a -3 x 4 y %3D - y =

A: