If cos(4x – y) = x+y, then dx A -1 - sin(4x – y) 2+4 sin(4x-y) (B) sin(4x-y) 1 1+sin(4x-y) C) 1+4 sin(4x-y) (D) -1+sin(4x-y)

Q: Q4// Find the value of csc(sec-1 2) + cos(tan=²(-V3)).

A: Here  given as Use some trigonometric formula as

Q: Find y". y = 6 sin(2x + 10)

A: Given,            y=6sin2x+10

Q: . Differentiate each function. a) y= cos'x b) y= sin(x³)

A:

Q: Use  DeMoivre’s theorem  ( Cos(x) + jSin(x))n = Cos(nx) + jSin(nx) to show that Sin3θ=3sinθ- 4…

A:

Q: 6) y=-sin (3x) - 1

A: 6. The given function y=-sin3πx-1. We have to sketch the graph of the function and find its domain…

Q: 3. Find the derivatives: 3x3-4 a) f (x) = b) y = (x2 + 6x + 2) (+ Vx5 + 3) DO NOT SIMPLIFY 2x²+3 c)…

A: a) Use quotient rule of derivative and find the derivatives of above function.

Q: sin(2x) cos(2x) dx 1+ cos(4x)

A: The complex form of integral can be converted to simple integral using integration by substitution…

Q: Use  DeMoivre’s theorem  ( Cos(x) + jSin(x))n = Cos(nx) + jSin(nx) to show that Sin3θ=3sinθ- 4…

A:

Q: cos(4x) cos(2x) sin(4x) sec(2x) 12. Verify: - sin(2x)

A: cos(2x ) =cos2(x)-sin2(x) = 2cos2(x)-1 =1-2sin2(x) sin(2x) = 2sin(x) cos(x)

Q: Find ds/dt if 3t + 3s sin(3t) + 3cos(t) %3D

A:

Q: 1) - 3dx 2) (2-3x)² dx 3) x sin (2x2 - 1) dx (2x-3)2 4) sin3x cos² 3x dx

A: Step 1:Step 2: Step 3: Step 4:

Q: (4e" + 5x* + 5 cos x)dx 4e" + x + 5 cos x + c O et – x + cos x + c - O et + x5 – 5 sin x + c 4e" +…

A:

Q: 4. sin 2x cos 2x dx

A: Here we integrate the given function.