dz Use an appropriate form of the chain rule to find dt 1 z = 8 cos x – sin xy; x = y = 2t t' Enter the answer in terms of t. dz dt

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A: We are given : y=cos4(sec23x) ⇒dydx=4cos3(sec23x).(-sinsec23x).2sec(3x)sec 3x.tan…

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Q: Differentiate y = In (cos² 3x).

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Q: dy -y'sinx is: dx The solution of Select one: a. y3cosx+ C O b. %3D COSX-C C. V=3 CO5X + C d.…

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Q: Classify and Solve dy cos x +y sinx = cosx dx

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Q: Cos 2x dx ) Sin*2× + 8 1.

A: Given ∫cos2xsin22x+8dx

Q: Find ds/dt when u = 3pai/2 if s = cos u and du/dt = 5.

A: Given,

Q: dw Use the Chain Rule to find , where w = sin 8x cos 4y, x= dt , and y = t. dw dt (Type an…

A: Given w= sin(8x)cos(4y), x=t/2 , y=t3

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A: The objective is to solve the expression cosxdy=sinxdx

Q: Find dy/dx for 4 cos4 xsiny = 15

A: d(uv)dx=udvdx+dudxv

Q: Evaluate tan x (t² cos 4t-3) dt dx Jo

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Q: Let •T/24 I = tan°(4x) sec(4) dx. Express the value of • T/24 tan"(4x) sec(4x) dx 10 in terms of I.…

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Q: Evaluate sin 2t dt. t 8.

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Q: Calculate when t = dr given that = (t – sin t) y = (1– cos t)

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Q: Find | cos? (πt) sin (π ) dr

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Q: dx It sin x-cos x COS

A: To evaluate:∫dx1+sinx-cosx Solution: We know,cos2x=1-tan2x1+tan2x     ...(1)sin2x=2tanx1+tan2x…