[AFE] Given, y = V1+ cos (x²) Find by using chain rule.

Q: 3. For the function f(r) = cos(x) find V}(0,27).

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Q: Use an appropriate form of the chain rule to find dz/de 1. z = 3x?y; a =t and y = t? 2. z = 3 cos a…

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Q: Use the chain rule to differentiate f(t)=e^(4t sin(2t))

A: Let us take u=4tsin(2t) and f(t)=y, then we have y=e^u

Q: Use the appropriate form of the chain rule to find the derivatives. w = 3x? + 3y2 + z²; x = psin o…

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Q: Determine the numerical value of dF of the function F(x, y) = e-3y cos(nx) given that X = 1, y =…

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Q: al derivatives of t 'sin(z+y)

A: According to our terms and condition i have solved first question for next question repost

Q: Use the appropriate form of the chain rule to find the derivatives. 3x? + 3y2 + z2; x = p sin o cos…

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Q: Use the appropriate form of the chain rule to find the derivatives. w = 11x² + 11y² + z²; x = p sin…

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Q: dz Use an appropriate form of the chain rule to find dt 1 8 cos x – sin ry; y = 9t t %3D SSEVS Enter…

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

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Q: Use the appropriate form of the chain rule to find the derivatives. 12x2 + 12y? + z²; x = psin o cos…

A: We have to find derivative of given function by using chain rule.

Q: Find for the following function. dx 5 cos x y= 6-7 cos x dx

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Q: Find the DE by eliminating the arbitrary constant  y = A+ bex

A: Given equation  y=A+be^x Where A & b are arbitrary constant.

Q: Q2) Use the chain rule to express dy /dx in terms of x and y y = sint and t = cos x where t= 0

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Q: Suppose a goose is swimming in the circle x = cos(t), y = sin(t) and that the water temperature is…

A: Given: Tx,y=x2ey-xy3, x=cost, y=sint for finding rate of change in temperature, first we find T in…

Q: COS Z fined the Res of the function T Z 4 -

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Q: Q9/ use the chain rule to express dy/dx in terms of x and y and choose correct answer. 1 x = t2 at t…

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Q: dw where w sin 8x cos 3y, x= dt Use the Chain Rule to find 2 and y = t". dw dt (Type an expression…

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Q: Ex 3: Use the chain rule to express in terms of x and y dx c) y = ( and x =-1 att 2

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Q: Use the appropriate form of the chain rule to find the derivatives. w = 3x? + 3y2 + z²; x = p sin o…

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Q: x2 dy Find - for y = x dx -for y =x cos t?dt. sť dt. 2

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Q: Q2// B :- If u+v3e"cos y and u- v=e' sin y find the Jacobain of the function alu,v at dx.yl (x.y)…

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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: For the functions w = 8x + 3y, x= cos t, and y = sin t, express dw as a function of t, both by using…

A: The given function is w=8x2+3y2, x=cost and y=sint. We have to express dwdt as a function of t.…

Q: Given: y = sqrt(u)  ,  u = 2x2 + 3x + 4 Determine dy/dx at x = -3 a) Using Leibniz Chain Rule b) By…

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Q: Use the chain rule to find if y = 2wz + z², w = e*, z = cos x

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Q: 3. Let z = x?y + 3xy+ where x = sin 2f and y cos t. Use the chain rule to dz find when t = 0. dt

A: As indicated in the question, we will make use of chain rule of differentiation. Recall that the…

Q: For ey – In x=y2, find the value of so that & (y' – y') = 1 at y =0- O e e

A: we have to find

Q: Find the vertical trace of the function at x = 1: g(x, y) = cos√x² + y²

A: Definition : Consider a function z=f(x,y) with domain D⊆R2. A vertical trace of the function can be…

Q: Use the appropriate form of the chain rule to find the derivatives. w = 7x2 +7y²+ z2; x = p sin o…

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Q: Q4) Use the chain rule to express dy /dx in terms of x and y y = sin t and t = cos x where t = 0

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Q: dw at t= dt For the functions w = - 4x + 10y, x= cos t, and y = sin t, express as a function of t,…

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Q: If y = 1+ sin t ,x = cost at t == 2 Find- dt by using Chain Rule, then choose the correct answer:

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Q: dz Use an appropriate form of the chain rule to find dt z = 7 cos x – sin xy; 1 y = 7t Enter the…

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Q: dv dv 5. Use the Chain Rule to find and ds v = ln (2.x + 3y), where x = s sin t, y =t cos s %3D

A: Here, Givenv=ln(2x+3y)∂v∂x=22x+3y∂v∂y=32x+3yAlso, x=s sin(t)∂x∂s=sin(t)∂x∂t=s cos(t)y=t…

Q: Find f. (Use C for the constant of the first antiderivative, D for the con f'(t) = Vt - 6 cos(t)

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Q: Use the appropriate form of the chain rule to find the derivatives. w = 3x? + 3y² + z²; x = p sin ø…

A: Given:   w = 3x2 + 3y2 +z2  x and y and z values is given

Q: If y = 1+ sin t ,x = cost at t = Findy by using Chain Rule, then choose the correct answer: dt

A: Given that: y=1+sintx=cost

Q: of and dy For the function f(x.y) = sin (2x - 5y), find dx of of

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Q: dy dy For the function dt 7 cos t, the third order derivative dt3 is %3D

A: derivative with respect to t first oder derivatinve dydt is ddt(y). (which is given in the…

Q: Use an appropriate form of the chain rule to find the derivative. R= e28-t; s = 80, t /2 %3D dR %3D…

A: Given R=e2s-t2 Where s=8∅,t=∅1/2 we need to calculate the value of drd∅ drd∅=dd∅(e2s-t2)…

Q: x²y + 3xy* where x = sin 2t and y = cos t. Use the chain rule to dz find 3. Let z when t = 0. dt

A: To use the chain rule to find dz/dt at t=0

Q: Use the chain rule to find dz/t. z = x² + y² + xy, x = sint, y = et

A: Here we will find dz/dt,

Q: Use the chain rule to help you find dy/dx for each of the following functions: 10. y = (x²+4)³ 12. y…

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Q: dz where z=x sin y, x=t°, and .3 se the Chain Rule to find dt ype an expression using t as the…

A: Solution of the problem as follows

Q: Find the value(s) of @ for which y = cos ot satisfies d'y + 16y = 0. di? Enter your answers in…

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Q: Use the appropriate form of the chain rule to find the derivatives. W = 5x2 + 5y? + z²; x = p sin o…

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Q: dz Use an appropriate form of the chain rule to find dt 1 z = 5 cos x – sin xy; y = 4t t' X = Enter…

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Q: Find dwdt using the appropriate Chain Rule. Evaluate dwdt at the given value of t.

A: to find dwdt