Given x = sin4t, y = -cos4t, then find at %3D t = 16 dx О a.3 O b. 2 O c.0 O d. 1

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A: Given function: y=4sin5x5x4y=45sin5xx4 Recall the quotient formula, ddxmn=nddxm-mddxnn2 Apply the…

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A: here we have to integrate the given function.

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Q: If cos 0 = 13 a and e EQIV, find csc 0. 13 csc e = 3 csc e = 11 csc e = 13 13 csc e = %3D 11 csc e =…

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Q: 2. Evaluate the following: d A. dx 3x 2. 2 + tan ex B. ³./₁ 2e 1- e dx

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Q: 4. y = csc x sin x + (sec? x + tan²x)

A: I have stated the used formulas in the solution

Q: dy if x= 2 sin t, y = cos 21. Find dx sin 21 A. 2 cost B. - csct C. tan 21 D. -2 sin !

A: If x=f(t)  and y=g(t) , then dydx=dydtdxdt.

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Q: Find d²y/dx² of Y= x cos (5x)– sin? x

A: Given: y=xcos5x-sin2x

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A: Given,∫0π2sin3 x dx

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Q: Determine the period and amplitude of f(x) =sin4nx? a. Period =, Amp =; b. Period =;, Amp = c.…

A: NOTE: Refresh your page if you can't see any equations. . compare this function with  so here we…

Q: (sin x +cos *)dx= O a. 1 O b. 2 O c. -2 O d. 0

A: To evaluate ∫0π2sin x + cos x dx

Q: dy If = cos 2x, then what is y? dx

A: We will solve the problem

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Q: 2 xy ds X = 4 Cos o c9= 4 Sin o < O < T

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Q: Consider the paraboloids S1 : x² + y² – 2 and S2 : 8 – x² – y?. The intersection between the…

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Q: Find by definition for the following : dx 1. y = (2x² + 1) 2. y = cosx 3. y = sin?x

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Q: Given x = sin3t, y = -cos3t, then find at t =. %3D dx а. 1 b. 3 с. О d. 2

A: We need to find dy/dx.

Q: а 64 · x² · sin(4 · x) dx = 1 – 2, calculate the value of a.

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Q: d (cos² 2x)=-2sin 4.x dx 12 Show that %3D

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