dz Let z = x In y, where x = t² +1 and y = 2t +3. Find as a function of t only. What dt ニ dz is the value of – at t = 0? dt -

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

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Q: integral t(sin(t^2) cos(cos t^2)dt = ___?

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Q: Find dwl dt at the given value for the following functions 1) w=x+y, x= cos(?), y = sin(t), at t = 7…

A: We have to use properties of trigonometric functions.

Q: Find the differential dx for the function: y=V4+5x at x 0 and dx 0.04. 0 5 O 0.08 O 0.05 O 0.8

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Q: Let y = V7- x. Find the differential dy when a = 4 and dx 0.3 -0.0866 %3D %3D Find the differential…

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Q: Use the total differential dz to approximate the change in z= 6-x² – y² as (x, y)moves from the…

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

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Q: dy Given: y= tan x Find dt dx when x =- m and dt = 2 m/s 3

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Q: 20 dv on the interval [0, 20] dt du dt 20

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Q: dx Assume that x = x(t) and y = y(t). Let y = x³ +5 and dt Find dy dt dt when x = 3. (Simplify your…

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Q: dz evaluated at dt If z=tan In with x=sec t and y=eª. Then the value of t= 0 is equal to ...…

A: Chain Rule Let us consider the function z=f(x,y) where, x=g(t) and y=h(t) Differentiate the function…

Q: dy Let xy = 1 and = 4. dt dx when x = 2. dt Find

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

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Q: dy at t = a where dt Find f(1+ vu), u = 2-x? and f'(2) = -3.Find dy when x = 1. dx 8. Let y ||

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Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

A: Given Equation: and given that dx/dt = 3 Find  (a) dy/dt when x = 4,…

Q: Assume x and y are functions of t. Evaluate dy/dt. dx x° = 12y - 4; = 6, y = 1 dt 12 O A. 5 OB. Oc.…

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Q: Assume that x and y are both differentiable functions of t. Find dy/dt when x = 16 and dx/dt = 9 for…

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Q: Let u = exsin(y), where x = -(1/2)ln(t) and y = (pi)(t). Find du/dt when x = ln(2) and y = (pi/4)

A: Question is solved.

Q: Assume that x=x(t) and y=y(t). Let y=x^2+2 and dx/dt=2 when x=5. Find dy/dt when x=5

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Q: Assume X and y are functions of t. Evaluate DY/DT for the following. y^3=2x^4+6; dx/dt=2, x=1,y=2…

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Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

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Q: px+y e- dt = xy %3| dy dx |(x,y)=(0,0) y satisfies the given integral. Find the derivative of y at…

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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: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

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Q: Assume w = x2y4, where x and y are functions of t. Find dw>dt when x = 3, dx>dt = 2, dy>dt…

A: Given:  w = x2y4, x and y are functions of t  To Find: dw/dt when x = 3, dx/dt = 2, dy/dt = 4, y = 1

Q: 2. Assume w=xy* , where x and y are functions of t. dw Find dt dx =2, when x=3, dt dy - 4, and y=1…

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Q: Assume that x = x(t) and y = y = y(t). Let y=x^2+4 and dx/dt =2 when x=5. Find dy/dt when x=5

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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: dy da at z = – 5 if y = 3x° + 3x and dt = - 1. dt Find - dy dt Submit Question P Type here to search

A: Differentiate wrt  t

Q: Find the differential dy of the given function. (Use "dx" for dx.) 7 y = 6√x + dy = 3 x 1 1/2 x I 3…

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Q: Find the total differential of the function f(r, y) = (3 y²+6 2):

A: Given,           The function is fx,y=3y2+6x13 .

Q: Find the differential of each function. (a) y = etan(at) (re" tan(xt) gec²nt) dt Pa1)di dy = sec“nt)…

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Q: da dy at z = – 5 if y = 3x2 – 3 and - 1. Find at x = %3D - dt dt dx %3D dt ||

A: given y=3x2-3 ........(1)

Q: Use the differential dz to approximate the change in the function z (shown in the image) as (x, y)…

A: Given that:   The given function z = f (x, y) moves from the point (1, 1) to the point (1.03, 0.95),…

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

A: Explanation of the answer is as follows

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

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

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

A: To find out the value of dxdt and dydt

Q: dy Give the coordinates of the point where dt y = sin(t)- t³ O (0,0) O (0.535,0) O (-0.535,0) O (0,…

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Q: Assume x and y are functions of t. Evaluate dt y³ = 2x² +6: dx dt -=4, x= 1, y = 2 for the…

A: Please follow the next step.

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 the differential of each function. (a) y = etan(nt) tan(at) · soc2 (at) - T dy = sec“(at) · T e…

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

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Q: Assume that z and y are both differentiable functions of t and are related by the equation = cos…

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Q: Assume that x=x(t) and y=y(t). Let y=x2+3 and dx/dt=4 when x=5.Find dy/dt when x=5.

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Q: A particle is moving along the curve y=x- 2 where x and y are functions of t. Find dx/dt if dy/dt =…

A: From the given problem:   y2=x3-2 ....(1)dydt=4.   Now differentiate the function with respect to x.…

Q: dy Find dt y = (21+ et) In t dy %D dt (Type an exact answer.)

A: To find the derivative of following function

Q: Assume that z and y are both differentiable functions of t and are related by the equation y = cos…

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Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

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Q: Find differential of the function y = (1+6). dy = dr. When z =5 and dr 0.05, compute the…

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