5s+2 L %3D s2+9) 1 5cost+ sint o 1 5cos9t+–sin9t ,o .b O 5cos3t+sin3t . 5cos3t +3sin2t d o

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

A: Given,            y=6sin2x+10

Q: Find the GCD OF 4xy°z', 8x²y"z³ and 24x'y°z" ? 10

A:

Q: D cos( 5t D sinf see Dcost cast) 4

A: See the attachment

Q: az Find az and ду e = 5x 2² + sin(r + 2) – y?.

A: ∂z∂x=52xz2+2x2z∂z∂x+cos(x+z)1+∂z∂x…

Q: S 3. sin°ydy 1+ cosy

A:

Q: Qlif y= fcus and u=x46x +5 U =X and - 2u -1, Sind dy dx

A:

Q: Use an appropriate substitution to integrate 2. A sin u +c 12r'sin (x?– 2) +c © 12sin (x2- 2) +c…

A: To evaluate the given integral.

Q: Number 23

A: we have to find definite intregral of given question

Q: e' [ S (5² +a²) 2 ] = t sinat 2a 7 Prove using Convolution

A:

Q: Find Lte " sin 41]. -2r

A:

Q: sinx sinx +x The integral cosx - e +e -dr may be written as mensinx + pr+ gerx + C, where m, n, p,…

A:

Q: Show tkat cos (2 I +x

A:

Q: 1 E valuate [ (x' + cos(3x)) dx sin (3x) a) b)

A:

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

A:

Q: 3 / (2³ + 3² + sinz + soc³² 2 + √₁ ²32 + √2) +sinx+secx+ dx √1-x²

A:

Q: Evaluate (s 2'ds Oa 2 1) In2 Ob. 2 (sln2 - 1) (In2)2 O. 2(sin2 - 1) (In2)2 Od 2° +1) In2

A:

Q: dv Integrate 9 + v2

A:

Q: Insec2 (sin2y) Which of the following is one of the correct steps to evaluate the sec2y A None (B In…

A:

Q: t 3X +5) C

A: on doing integration we get

Q: 1. dy = %3D COSX cotytanx Cosy dr

A: Given- dy=1cotytanx-cosxcosydx To solve the given differential equation. Here we will arrange the…

Q: The integration of cosx is

A: Recall: Definition of Integration:      In mathematics , Integration is a technique to finding a…

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:

Q: tan(2 – j5) j(2-j5) +7- jv2 In(-5) (320° – sin 20 + jln5)*

A:

Q: S sin4xVcos4x + 1dx

A: Let u=cos(4x)+1 Then du=(cos(4x)+1)′dx=−4sin(4x)dx  and we have that sin(4x)dx=−du4

Q: e-32 sec(e-32) tan(e-³²)dz

A:

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.