dy 3; find dt dx when x = 2. dt Related Rates: Given y = x³ – 2x and %3D

Q: Given that x and y are functions of time, find the indicated rate of change. dy when x 1, y=2, and…

A:

Q: Find dy/dt using the given values  xy = 5 for x = 10, dx/dt = −2

A: Given,xy = 5  ,  for x = 10 , dxdt=-2

Q: If x= sint and y = cost then 2 dx dy dt dt O 2 O -1 O 1 O O O None of these

A:

Q: Given that x and y are functions of time, find the indicated rate of change. dy dx Find when x= 1, y…

A:

Q: (8) dx Compared to I dx x In|x| Conterges or Diverges

A:

Q: Find dy for the given values of x and Ax. y = 3x° - 2x; x = - 3; Ax = 0.4 What is the derivative of…

A: Given the functiony=3x3−2x

Q: dy 5 if y = 2x² + 5 and dt dx Find at x 4. dt dx dt

A: Solving the problem by finding the value.

Q: what is dy/dx?

A:

Q: Find dy/dt when x=4 and dx/dt=-3, given that x^3+y^3=72

A: First obtain the derivative of the given equation as follows.

Q: Find P.I of the given d'y 5. +6y ex dx sdy dx?

A:

Q: dx

A:

Q: What is the rate equation for related to mixture problem? dx = r.c. + r;c; а. dt dx b. = r.C; - r;C.…

A: To find the rate equation related to the mixture problem.

Q: Find dy for the given values of x and Ax. y = 3x-2x; x= -2; Ax= 0.5 What is the derivative of y? dy…

A: Given: y=3x3-2x

Q: Given that x and y are functions of time, find the indicated rate of change. dx when x 6, y = 3, and…

A:

Q: dy Given that y = (2æ + 3)²(5æ – 1). 5. Find dx? 6. Let y = (x + 1)²(x – 3). Find the average rate…

A:

Q: Find dy/dx by implicit differentiation. ey = x + Y dy/dx

A:

Q: dx dy 1. +у%3х, Зу dt dt

A:

Q: 9. Sinte)e x(t² + 1)dt = x ,(t² + 1)dt S' 2* dx < S, xdx 10. dx = dx + dx 11.

A: 9.∫ln(e)0ln(e)ex(t2+1)dt=x∫0e(t2+1)dt10.∫012xdx≤∫01x dx11.∫131xdx=∫151xdx+∫531xdx

Q: Given that x and y are functions of time, find the indicated rate of change. dx Find when x = 4, y =…

A:

Q: If the PSD of X(t) is S„(@). Find the PSD of dX(t) dt

A:

Q: compute the given derivatives d/dx (ex) `x= e

A: We have to find  ddxex=? at x=e   Let y=ex Taking log on both sides, we get log y=x Differentiate it…

Q: Find dy/dæ by implicit differentiation. ezy = x + y dy/dx:

A:

Q: Given that x and y are functions of time, find the indicated rate of change. dy dx Find when x 1 and…

A: It is given that,

Q: Find dy/dx for the following equation with implicit differientiation.   x2 + xy4 - 3y=35

A: Solution is given below..

Q: dy 1; find dt dx at x =- dt Related Rates: Given y = cOs x + sin and 4

A:

Q: A point is moving along the graph of the given function at the rate dx/dt. Find  dy/dt for the given…

A:

Q: Given the function y = x* e* , find dty dx for x = -1. %3D

A:

Q: finel cly 0- ó cost +1nt) e e (cos Ø + Ssin ø)

A:

Q: Calculate dy/dx if x and y are related as below xe" – y=x 2

A: To determine:

Q: Given that x and y are functions of time, find the indicated rate of change. dy when x 4 and dt dx…

A: First obtain the derivative of the given equation as follows.

Q: The heat transfer rate of the rocket engine is given by: dT Q = -kA dx

A:

Q: d Calculate dx dt

A: We have to calculate given identity: Concept:

Q: Find for the equation below. dy dt

A:

Q: Find dy for the given values of x and Ax. y = x° - 5x + 5; x = 1; Ax = - 0.4 What is the derivative…

A: Here, the given function is: y=x3-5x2+5

Q: t seel dx

A:

Q: Evaluate 2xz dV where E = {(x, y, z) | 2 < x < 4, x <y < 2x, 0 < z < x + 3y} . E Round your answer…

A:

Q: e'dy + (5t + ye')dt = 0.

A:

Q: ..... .. .... . Find dy/dx. x = VE y = 1-t dy dx

A:

Q: Given that x and y are functions of time, find the indicated rate of change. dx dy Find when x = 4,…

A:

Q: (B.) L ( ³x ++ -cost} { +4- dt 3 dx dt Where: x(0) = x '(o)=6 and x" (0) = 2

A:

Q: related rates - find dy/dt where xy=10 and dx/dt = 02 and x = 5.

A: To find the rate of change of y with respect to t, under the given conditions.

Q: xy = In (2y) – e

A:

Q: Given that x and y are functions of time, find the indicated rate of change. iON dx dy = 2, given…

A: Consider the given equation

Q: Find the antiderivative of the given derivative. ds 14(4? – 1)3 dt S =

A:

Q: dx (b) (t– 2) – x = (t – 2)' , x(4)=10 dt dx (c) +5x -t = e" , x(0)= dt

A: Here we have to solve given initial value problem b and c.

Q: dy_y(ln y-Inx+1) %D dx

A:

Q: related rates - find dx/dt where x2 +xy - y2 = 20. dy/dt = 5 and x = 4

A: x2 +xy - y2 = 20Diferentiate both sides with resepct to t. While differentiating recall the:Chain…