9) 5olve For OLO<2M Cose+sin A =1 2.

Q: 10. Show that 2" + 42' + 8z = 0 if z = e-2=(sin 2x + cos 2x).

A:

Q: b) S sin 2 x cos x dx

A:

Q: Find dy/dx in terms of z and y if cos² (3y) + sin² (3y) = y + 15. I

A:

Q: L(e-3t (2 cos 5t-3 sin 5t)) 20

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: 18) e2x = sin(x + 3y)

A:

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A: Given that: y=3sin2x

Q: 6. sec (sin-1 x)

A: Interconversion

Q: use Theorem to find 31) F(A) = 4t? 5 Sin 34

A: To find the Laplace transform of the below function using the theorem. ft=4t2−5sin3t

Q: Differentiate: y = sinh° (sin 5x) Oy' = 15 cos 5x sinh (sin 5x) cosh(sin 5x) Oy' = –15 sin 5x sinh?…

A: dsinh (ax)dx=a cosh (ax) dsin(ax)dx=a.cos(ax)

Q: 1. Explain why sin(n+0) =-sin@ using a diagram and x, y, and r.

A: Solution of given problem is followed by

Q: 4). Evoluate 2. (88e0 COS X cot x)dx 4

A: Definite integration

Q: 2- 1- 3一寸

A:

Q: (h) (1 – cos² r) (1+ cot? r) = 1 %3D

A: you can clearly understand if you follow the below solution

Q: 41 2TIX ,where x is the number of days after March The daily number of hours of daylight in…

A: Consider the function h(x) and determine the value for x at x = 10.…

Q: 10 sin? 5x cos* 10x dx 8.

A: Evaluate: ∫0π10sin25xcos410xdx

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A: We use cot(x)=tan(90-x) property

Q: i) Simplify sin(2sin-1x). ii) Show that sin 30 = 3 sin 0 – 4sin30. iii) By using the substitution 0…

A:

Q: cosh“ x – sinh“ x = (cosh? x – sinh? x) (cosh² x + sinh² x)

A:

Q: Q3) A: Find y if: a- y = sin 2x + 2 cos x c- y = sin √x (As... b- y = secx. csc x d- y = tan(2x + 1)

A: Please see the attachment

Q: 2270 d) V3 cosx + sin x = 0 (-2x, 0]

A: First, we rewrite the given equation in a more familiar form. The given equation…

Q: What is the dependent variable in the equation dr + (2rcot0+ sin 20) d0 = 0?

A:

Q: Find the value →17. sin ( cos 18. sec (cos ((F-). 19. un (sar" (-})) 20. cot ( sin

A: Inverse trigonometric function are inverse of trigonometric functions and are used to obtain an…

Q: 2. (a) Show that V3 cos x-sin x COS where 0<x<2r . 2 (b) Using the result in (a), solve the equation…

A:

Q: sin 4xdx = 2(sinx)? -2Csinx)4 tC %3D

A:

Q: General Sol. of  y' tanxsin2y= sin2x+sin2y is

A:

Q: 大 1-cos X P-V= 2

A:

Q: 3. Prove the identity tan * COS v t CSC x Sinx=2sinx

A: Prove the identity

Q: lim ze = -9 cos 3 + i9 sin 3. %3D Select one: O True O False

A: The statement is TRUE  The detailed solution is as follows below: