dw Use an appropriate form of the chain rule to find dt In(14x? – 4y + 52³); x = t2, y = tš, z = t-2 Enter the answer in terms of t. dw dt ||

Q: dz Use an appropriate form of the chain rule to find dt z = 9x10y%; x = t10, y = t6 Enter the answer…

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Q: Let z = x3 y2 ,x=t3, y=t+3 Use the chain rule to find dz at t=3 dt

A: By chain rule of partial derivatives,     dzdt=∂z∂xdxdt+∂z∂ydydt Here we have,       z=x3y2,   x=t3…

Q: dz Use an appropriate form of the chain rule to find dt z = 5x*y; x = tl0, y = t7 Enter the answer…

A: From the given problem: z=5x4y5 ; x=t10 ; y=t7 As we know that: The Power rule: ddxxn=nxn-1

Q: Use the Chain Rule to find dz/ dt or dw/ dt. z = xy3 - x2y, x= t2 + 1, y= t2 -1

A: Consider the given function z=xy3-x2y, x=t2+1,   y=t2-1 the chain rule, dzdt=∂z∂xdxdt+∂z∂ydydtwe…

Q: dw Use an appropriate form of the chain rule to find dt w = In(82? – 4y + 5z³); = t, y = tỉ, z = t-2…

A: w=ln8x2-4y+5z3x=t12y=t23z=t-2The chain rule says dwdt=dwdxdxdt+dwdydydt+dwdzdzdt

Q: dz Use an appropriate form of the chain rule to find dt - = 2a°y°; x = t°, y = t5 Enter the answer…

A: Topic = Derivative

Q: dw Use an appropriate form of the chain rule to find dt w = 4 cos xy – sin xz; x y = t, z = t8 t'…

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Q: dz Use an appropriate form of the chain rule to find dt z = 4x°y°; x = t°, y = t8 Enter the answer…

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Q: In each exercise, obtain the general solution. 1. dr/dt = -4rt; when t = 0, r = rg. 2. xyy' = 1+ y²;…

A: We solve these differential equations by separation of variables.

Q: dw Use an appropriate form of the chain rule to find dt 1 w = 6 cos xy – sin xz; x = t' y = t, z =…

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Q: dw Use an appropriate form of the chain rule to find dt 1 w = 9 cos xy – sin xz; x = y = t, z = t3…

A: We have to find

Q: dz appropriate form of the chain rule to find dt Use an = 6x³y³; x = t", y = t10

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Q: dw Use an appropriate form of the chain rule to find dt w = In(162? – 4y + 3z³); 1 = ti, y = tỉ,…

A: Topic- differentiation

Q: Use the Chain Rule to find dw/dt. + y2 + z2 x = 5 sin(t), y = 7 cos(t), z = 6 tan(t) W = In

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Q: dw Use an appropriate form of the chain rule to find dt 1 w = 4 cos ry – sin cz; x=÷, y = t, z= t8…

A: Given,           w = 4 cos zy - sinxz;            x = 1/t ,      y=t,        z= t⁸

Q: Use the Chain Rule to find dz/dt. z = cos(x + 7y), x = 5t5, y = 3/t dz dt II

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

Q: dz Use an appropriate form of the chain rule to find dt z = 8x"y³; x = t°, y = t Enter the answer in…

A: Topic :- Differentiation

Q: Use the chain rule to find dz/dt or dw/dt.  Z=sinxcosy, x=t^(-1/2) y=1/t

A: First of all, put x and y in the form of t and get the value of “z” in the form of “t” only.

Q: dz 3 Use the Chain Rule to find where z= 2x sin y, x=t°, and y = 3t°. dt '

A: Given,           z=2xsiny , x=t5 and y=3t3.

Q: dz Use an appropriate form of the chain rule to find dt z = 6x°y3; x = t8, y = t 52,3. %3D Enter the…

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Q: Calculate dy/dt using the given information. xy2=4; dx/dt=-5, x=4, y=1

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Q: If s(0) dt: 20z 4, then f (t) dt is -3 E) divergent

A: A)  6

Q: Use chain rule to find dz/dt z=cos(x+2y), x=6t^3, y=7/t

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Q: d use the Chain Rule to calculate f(r(t)). dt f(x, y) = x² – 3xy, r(t)= (cos t, sin t), 1 = }

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Q: Use the Chain Rule to find dz/ds and dz/dt. Z = tan(u/v), u = 3s + 6t, v = 6s - 3t dz ds dz at Need…

A: Given z=tanuv , u=3s+6t , v=6s-3t

Q: dz Use an appropriate form of the chain rule to find dt z = 2a°y®; x = t³, y= t10 Enter the answer…

A: Explanation of the answer is as follows

Q: dw if: dt Q1) Using the chain Rule to find w = xy + 3z, x = sint, y 2 cost, z=t (x2 +)

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Q: dz Use an appropriate form of the chain rule to find dt z = 3x"y"; x = t, y = t5 Enter the answer in…

A: Given that , z=3x7y7 ;   x=t5 , y=t5 dzdt=?

Q: dz Use an appropriate form of the chain rule to find dt z = 4x°y³; x = tº, y = t" Enter the answer…

A: From the given problem: z=4x6y3 ; x=t8 , y=t7 Now apply the chain rule.…

Q: Let z(x, y) 2x2 – 3y? where a 2s – 4t & y = 9s + 8t. he at dy dx az Calculate ds dz by first finding…

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Q: dz Use an appropriate form of the chain rule to find dt z = 5x*y°; x = t1º, y = t" Enter the answer…

A: NOTE: Refresh your page if you can't see any equations. . take partial derivative with respect to x

Q: dw Use an appropriate form of the chain rule to find dt 1 w = 8 cos xy – sin cz; x = y=t, z = t7 t'…

A: Here we have to find dw/dt by chain rule.

Q: If = Z sin x = 2t, y = 2 – t2, find dz/dt using the chain rule. Assume the variables are restricted…

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Q: use an appropriate form of the chain rule to find dw/dt. w=6cosxy-sinxz; x=1/t, y=t, z=t^8. enter…

A: Given: w=6cosxy-sinxz x=1t, y=t, z=t8

Q: Use the Chain Rule to find dz/dt. z = x2 + y2 + xy,    x = sin(t),    y = 3et

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Q: Calculate dy/dt using the given information. xy+x=12; dx/dt=-3, x=2, y=5

A: To calculate (d y)/(d t). find the slope of tangent line of the given curve by using implicit…

Q: dw Find using the appropriate Chain Rule for w = cos(4x−4y), where x = tº and y = 3. dt

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Q: dw Evaluate at the given value of t, by using the Chain Rule, dt w = 2ye* - Inz, x = ln(t² + 1), y =…

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Q: Use the Chain Rule to find dz/dt. z = xy9 − x2y,    x = t2 + 1,    y = t2 − 1

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Q: Using the Chain Rule, find dz/dt for z In(x? + y²) and x = t, y = t²

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Q: Find dy/dt at t=9 given that y= (u+2)/(u-1), u= (3s-7)2 and s= √t

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Q: Use the Chain Rule to Find dz/dt, where z=2xsiny, x=t^5, and y=3t^3.

A: Chain rule  dz/dt=(dz/dx)(dx/dt)+(dz/dy)(dy/dt)

Q: Solve the ODE dy/dt = -2y between t = 0..4, with the initial condition y(t=0) = 1.

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Q: dz appropriate form of the chain rule to find dt z = 8x'y°; x = t°, y = t5

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Q: dw Use chain rule to find dt if w = xez, x = t², y = 1- t, z = 1+ 2t.

A: Given w=xeyz, x=t2, y=1−t and z=1+2t We have to find dwdt by using chain rule. Hence, by chain rule…

Q: Q2) Use the chain Rule to find dw\dt of y w = =+2,x = cos²(t), y = sin² (t), z =, at t = 3

A: In this question,w is function of x,y,z and x,y,z are the function of t so first we find out…

Q: Use the Chain Rule to find dz/dt. z = sin(x) cos(y),    x = The Square Root of t,    y = 8/t

A: Given: z = sin(x) cos(y),    x = √t,    y = 8/t By Chain Rule,

Q: Find dz/dt, for z= xy by using the Chain Rule.

A: Given function is  z=xy Let f(x,y)=xy Then z=f(x,y) Differentiate f partially with respect to x and…

Q: Use the Chain Rule to find dz/dt or dw/dt.  z = xy3 – x2y, x = t2 + 1, y = t2 − 1

A: Given,             z = xy3 – x2y,  x = t2 + 1,  y = t2 − 1

Q: Q2/ Express dw/dt as a function of t, both by using the Chain Rule and by expressing w in terms of t…

A: