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

Q: If z = xy + 3xy', where x = sin 2t and y = cos t, find dz/dt when t = 0.

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Q: dy sin(y + t) dt %3D

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Q: Given x= 2y? , evaluate dx dy at y = 1 and dt dt 3.

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Q: t y = t dy Find dx 1 8t dy dx t dy Find dt dy dt + II II

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

A: Given Volume of cone isV=13πr2hwhere r is radius and h is height and h is constant .

Q: Find dy at taal dt and ya Vltx? and X = t.

A: Explanation of the solution is given below...

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: 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: 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: Find dw/ dt at t = 0 if w = sin (xy + p), x = et, and y = ln (t + 1).

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Q: Find the total differential. w = = x?yz° + sin(yz) dw =

A: In partial derivatives, the total derivative approximates the function with respect to all of its…

Q: dz evaluated at dt 4x If z=tan In with x=sec t and y=e". Then the value of y t= 0 is equal to ...…

A: Given,             z=tanln4x2y with x=sect and y=e2t.To find : The value of dzdt at t=0.

Q: dw w=x +y, x-cos r, y-sin/ ise dt Irm

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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: (1) Use the Chain Rule to find dz/dt. (a) z = r² + y² + xy, r= sint, y = e'. z = x2 +y?, x = cost+…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: L{t}(s) = / t dt te -at %3D

A: Here we use integration by parts.

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: dy Sølve +y = 0, under the conditions that y= 1, dy 0. when t = 0. dt %3D

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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: dy dt 1 Find if 4y°t + t°y = 2 and dx dx cos t dy dx

A: To find dydx here we need to use both chain rule and product rule of differentiation.

Q: Suppose w = x³yz + xy +z+3 and x = 3 cost, y = 3 sint, z = 2t. Then dw dt t= . [Show solution.] =

A: Given :w=x3yz+xy+z+3x=3costy=3sintz=2t

Q: 1 -dt = xy ndif y + J sint+1 secx dx

A: Since you are asking multiple questions. As per our guidelines, we are supposed to answer only one…

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: Find dw/dt at t=0 for the function w=sin(x),cos(y),ln(z). Where x=-7t^2+9t+pi/2, y=t,z=e^-6t

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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: a. S ya +1 b+y+cya+1 b. ft² cos 3t dt dy where a 0 and c = 1/(a + 1).

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Q: Find an interval where the IVP dy (In t) + y = cot t dt y(2) = 3 has a unique solution.

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Q: dx dy dy Find and dt' dt dx X = 7te', y = 3t + sin(t)

A: Here, dxdt=ddt7tet      =7tddtet+etddtt(used product rule)      =7tet+et(1)      =7et(t+1) Now,…

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: 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 total differential dw. 4. w = e*" – sin(yz) -

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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: dy + 2 dy + y = sinh 3t – 5 cosh 3t ; y (0) = -2, y (0) = 5 II %3D |3D | dt? dt

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Q: (a) Find the differential dy. y = V 24 + x2 dy = V 24 +x?

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Q: dw/ dt باستخدام قاعدة السلسلة ، فإن W=x? + y? X=cos t y=sin t = 0 = اللانهاية لا أحد من الآخر = 2…

A: Use differentiation

Q: Find the differential of the function w = x* sin(y z' ) dw dx+ dy+ dz %3|

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Q: Find dy/dt if y is as follows. t2 + 4 y = In 7 - t dy dt II

A: We use logarithmic properties to simplify the given function and use chain rule to solve this…

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: Let y tan(3x + 6). Find the differential dy vwhen a 2 and da 0.4 Find the differential dy when z 2…

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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: 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: Consider z = x² + 3y², where x = sin t and y = cos t. Calculate dz / dt.

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Q: Can you help me step by step?

A: The given function is

Q: Please show all work

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Q: dz 2) Find if z = xy² + x?y, y = ln x %3D dt

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Q: Find the total differential. w = e7Y cos(4x) + z7 dw

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