3) Show that y" +y = 0, given that y = 2 sin x + 3 cosx

Q: b) S sin 2 x cos x dx

A:

Q: Find if sin x + 1 = cos y dx2

A:

Q: Differentiate y = sin (x 2)

A:

Q: sin(cos¬1/2x²) = v3x? sO:

A: Given:   SinCos-1 2x2=3x2   To find out: x=?

Q: 3) Find y" if y= 9 sin x.

A:

Q: Find if, y - x = sin(xy)

A: In this question we will use differentiation property for solving this question and after that we…

Q: b) Find the value of sin x dx

A:

Q: Show that sin(sin-1 v + cos-1 v) = 1.

A: sinsin-1v+cos-1v=1

Q: dy Find dif sin x + 2 cos 2y) = 1 dx

A:

Q: Show that Cosx dx 9- Sin 3D

A:

Q: O Find the anfidanialtiner Sfaw da for fla)= 18 Cos (6x) 16- Sin? (6x) © fa) = ¿* (, +x) 9 + xe

A:

Q: DIFFERENTIATE THE GIVEN y = x² co sec™ 3 -1 * COS

A:

Q: FIND SIN' A WHERE A= at b

A:

Q: Differentiate y = 5 sin(2x-4). O a) dx = = -5 sin(2x-4) о O b) ad ax O c) = 5 cos(2x-4) = -10 sin(2x…

A:

Q: Evaluate 3 cos z sin" e dz.

A:

Q: c. sin 2x: = 2 tan x 1+tan² x d. 2 cos x cos 2x+1 =secx ✓✓✓✓

A:

Q: 2- Calculate y": y = 5x2 Sin (3z) - 2x Cos (5x)

A:

Q: x cos r+ sin r -dr. Find x sin r 5.

A: The given integral,     ∫x cosx+sinxx sinxdx

Q: Show that: cos hz = cos hx cos y + i sin hx sin y.

A:

Q: 3) 11 Show that y + y = 0, given that y = 2 sin x + 3 cosx

A: Given,.We know that,

Q: If y = sin (sin x) show that y"+ (tan x)y +y cos x = 0.

A: Answer

Q: What is y = sin (xy)

A:

Q: B) Find and It x sin 3z and y= tan 3z dx

A: x=sin23xy=tan 3xWe need to find dydx and d2ydx2.