xe where = t2,y = 1 - 2t, and z 14t Suppose that w = dw Find dt

Q: Given y = 3x2 and x = t2 - 1, find dy/dt for t = 1 %3D 1) 3 2) 6 3) 0 4) 12

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Q: If z = xe" and x = t2, y = Vt then the value of dz at t = 1 is equal to . dt Select one: True False

A: Solve the following

Q: dw Find if w = xy + z,x = cost, y sint and z =t at t = 0. dt

A: In the given question, the concept of the derivative is applied. Derivative We can use a derivative…

Q: Find dy/dx for y = J_1P+4 t2 dt t2+4 X. 3

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Q: Find dy/dt y=(40+e^t)ln t   dy/dt

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Q: Find dw/dt at the given value for the following functions dw Ans. dt 1) w=x+y, x=cos(t), y sin(t),…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Given y = V4x + 5, find the differential dy when a = 7 and dæ = 0.3. %3| Round your answer to three…

A: Given data:   The expression for the given function is y=(4x+5)1/2. The given value of x is x=7. The…

Q: at (x, y) = (1, 2) and z? = x2 + y² if dt dx = 4 and dt dy = 3. dt dz %3D %3D Find dz dt II

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Q: y = 2 (x² – 3x) (a) Find dy/dt when x = 2, given that dx/dt dy/dt = (b) Find dx/dt when x = 7, given…

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Q: . We are given r'y-5x+24y 6/ỹ, where x and y are both functions of t. If dx = 2, x= 1, and y=9, what…

A: Given query is to find indicated derivative.

Q: da dy 3x? – 1 and dt Find at z = 1 if y = at x = -5. dt da dt

A: topic - derivative of a function

Q: dy If y (t+ 2t + 6) (7t + 6), r find dt dy dt

A: Given  y=t2+2t+67t2+6y=7t4+6t2+14t3+12t+42t2+36y=7t4+14t3+48t2+12t+36

Q: Find dt(t=1.s=0) dz when z 2x3 + 15y, where x t? -s and y =t+ 2s? %3D Enter the answer in the space…

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Q: Given z=x²y+3xy, x=sin(2t), y=cos(t), find dz/dt when t=0

A: ddxcosx=-sinx

Q: (1) y'(t) = 1- sint – , y(t)dt, y(0) = 0 %3D

A: As per guidelines, we will solve only first question. Kindly repost other question separately.

Q: dx Assume that x = x(t) and y = y(t). Let y = x² + 3 and dt Find dy dt dy dt when x = 5. (Simplify…

A: We have to find the derivative

Q: y = 2 (x² – 3x) (a) Find dy/dt when x = 2, given that dx/dt = 4. dy/dt = (b) Find dx/dt when x = 9,…

A: First we will derivative with respect to t then find both value

Q: Q6. If w = y²z² + xy and x = t³ – 1; y=t² + 2; z= 3t , find the total dw at t = 2 dt differential

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Q: dw at the given value of t: dt Evaluate w =x2+y x = cost +sint y = cost -sint %3D 2.

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Q: dx Let y = 0.75a? + 4.25 and dt 0.6. dy Find when x = 3. dt

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Q: dW w. if W=3x3+2y³ ; where x= e, y= cos 2t at t=0 dt Find

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Q: Let y=x^2 + y^2= 100. If dx/ft=2, find dy/dt where x=6 and y=8

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Q: dy Solve I +y= 1 given that y = 2 when t=0. dt

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Q: dy Find for y = /12+13t dt. dv

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Q: Find the general solution for y(t) where; dy a. dt + 6t?y = 2t2 dy b. + 10y = 0 dt

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Q: Find the total differential. w = eбy cos(4x) + z7 dw (No Response)

A: Explanation of the answer is as follows

Q: Suppose that w = xe"/, where x = t², y = 1 – 6t, and z =1+ 4t. dw Find dt

A: w=xeyz, where x=t2 , y=1-6t and z=1+4t

Q: Find dy/dx: 1. y = J" cos t dt

A: Given

Q: If y = (t² + 2t + 6) (3t² + 5), dy find dt dy dt ||

A: Given function: y=t2+2t+63t2+5 We have to find dydt

Q: dz Find dt(t=1,s=0) when z = 2x3 + 15y3, where x = t2 - s and y =t+ 2s2

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Q: dz Find dt where z(x, y) = r² – y, with x(t) = 8 sin(t) and y(t) = 11 cos(t). dz dt 6

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Q: Find da d.t da dt at x = 4 if y = 4x² – 1 and > Next Question dy dt = - 5.

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Q: The radius r and height h of a right circular cylinder arerelated to the cylinder’s volume V by the…

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Q: f(x,y)=sinx+cosy+xy2, where x=cost,y=sint Find df/dt at t=π/2.

A: We can find the answer as below

Q: dx T2 +2 and dt dy 2. Find at I = 2 if y = dt dy dt

A: Solve for dy/dt at x=2

Q: Q4. Find dz/dt where z = 2xy - x² y² and x = 2t, y = t²

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Q: dw If w = x2 + y2 and x = at?,y = 2at find dt

A: Differentiation

Q: dy If y = (t + 6t + 5) (6t² + 6), find dt dy dt ||

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Q: Find the general solution for y(t) where; dy а. dt + 6t?y = 2t? dy b. + 10y = 0 dt

A: The given question has been solved in detail

Q: dy Find dt y = (t sin t)6 dy dt

A: Given: y=t sin (t)6 We have to find dydt: Consider, y=t sin(t)6=t6 sin6(t) To find dydt…

Q: dx(t) If the PSD of X(t) is Sry(0). Find the PSD of - dt

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Q: Find the differential of the function. y = V 3 - t 35 dy = V 6 3 –

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Q: Find dz/dt dz/dt given:  z=xe2y, x=t6, y= -1+5t

A: Given,         z=xe2y    , x=t6     ,    y= -1+5tWe know that,            ∴dzdt=∂z∂x·dxdt+∂z∂y·dydt

Q: Given y = V4x+5, find the differential dy when x = 7 and dx = 0.3. Round your answer to three…

A: Take derivative with respect to x and put the given values.

Q: O1f y= x 4x and x = Vzr?+I, find dy /dt when t r2. %3D

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Q: 5t+3xy 5. For z = and x = t2 + 1, y = \t² + 1 and w = e* + 1, calculate the total derivative, 2w²y…

A: Given,            z=5t2+3xy2w2y and x=t2+1          y=t2+1 and w=et+1

Q: dz Find given: dt z = xe²y, x = t³, y = - 5 + 6t dz dt ||

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Q: If x2 + y2 = 100 and dy/dt = 4, find dx/dt when y = 6. (Enter your answers as a comma-separated…

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Q: Given y = = V4x + 5, find the differential dy when.x 7 and dx = 0.3. Round your answer to three…

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