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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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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A: I have stated the used formulas in the solution

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

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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: Find for the following function: dx 1- y = sin-1 2x + 3

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Q: derive 8t sin t (d) s %3D cos t t5

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Q: Se е 4x cos(3x)dx

A: The given integral is in the form of ∫udv, where u = 4x and dv = cos(3x) dx. This form is suitable…

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A: Indefinite integration

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A: We will solve the problem

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Q: dy cos²x- Solve cos?x +y= tanx

A: It is of the form  dy/dx +Py=Q

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: - y = 1 Solve %3D O a. y = tan(x + k) O b. y = sin(x + k) O c. y = cos(x + k) O d. y = e + k

A: Explanation of the answer is as follows

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A: Topic:- definite integration

Q: = cos x and y = sec x, -37/2sx5 3m/2 41. y

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Q: m x" -1 cos ax dx cos 2 %3D m

A: We use the definition of the Gamma function and the De'Moivre's theorem to prove the given result.