Solve the following for 0 s x < 2n. 2 sin x + 3 cos x x - 3 = 0 O x = 0, 2 A, 3, 3 57 L – = x 6 ) 6 3T 4T O x = 0, 3 =0,T 3

Q: 2π 6 11. 3r2 sin e drd0 0 0

A:

Q: 1 [4]y= Cq cos 2x+C2 sin 2x+ (1– xsin 2x) 2

A:

Q: 16. Solve sin(2x)=- =- cosx on the interval 0, 27). State exact values only.

A:

Q: = 0 If 2 sin x cos x + V2 cos x = 0. 0, then %3D %3D or

A: 2sin x cos x +2cos x=0

Q: 2/3 sin =3 Which of the following are all possible solutions? ( 2n' O A. only 3 I 4x O B. 3' 3 2n 4x…

A:

Q: What will be the neutralizing factor of 7sin(4x +sin(2x)dx when it is first evaluated using product…

A:

Q: x) dx + sin? x + cos? .2

A: Given integral, ∫xx+sin2x+cos2xdx

Q: Solve the following equations for 0 < x < 2n. 7. cos x = 3 cos x + 1 8. tan? x = 1

A: According to guidelines we should have been able to solve only one question at a time  #7

Q: Which of the following is a particular solution? Ay=C₁e¹cos 2x+C₂e³sin 2x By=C(sinx - Inx)…

A: in the option A there are two arbitrary constants C1 and C2 the  general solution of a differential…

Q: Q6// find the general solution (sin-ix+- 1 dx + sin-1xdy 0

A: Note the following result of integration. We will use it in the solution :

Q: 1-9 13-9 X x-h 2 3 . sin (lnx²) sinx 2-9 It cosx .dx 4-9 cotx.dx хр

A:

Q: 1. (t+1) 2. 2 sin3t +5cos 3t 3. (е" -е*) (Vi + 1)(2- VE)/VE 5. 8 sin' 3t 4.

A: As per our guidelines we are supposed to answer only first question. Kindly repost other parts in…

Q: dy dx = general solution of :- - 2 Sec 3x tan 3 X

A: dy/dx=sec2tan3x

Q: 1 If sinx = and cosx < 0, find sin(2x). O 4 V6 25 2V6 O 2v6 25 O 4V6 25 O 2v26 25 4 25

A:

Q: Find !V1-cos xdx 2 sin x = 1- COS X V2(-cos x/2)+ c 1/ /2(-cos x/2)+ c В. 2/2(-cos x/2)+ c С.…

A:

Q: sin 2x cos 2X I+ 3 cos4X

A:

Q: Solve the equation on the interval 0s0<2x. 1- sin 0= OA. 3 A 11 OB. 6' 6

A: We can solve it using unit circle method of trigonometry as below

Q: a csc 0 /2 co π/4 Jπ/40 p³ sin²0 sin o dp de do

A:

Q: 2хy? + 4 %3D 2(3 — х2)у' ) dy

A:

Q: dy and y= cos't then dx If x= sin?t O -1 O 2 O None of these O -2 1

A:

Q: 32. a. b. f cos(4sinx - 1) cos(2sinx + 8) cosx dx is sin(6sinx + 7) − sin(−2sinx + 9) + C 1 1 12. 1…

A:

Q: 7T 2 Find 35 cos(7x) dx 5π 2 7T 2 35 35 cos(7x) dx = -5π လ

A:

Q: We know that [e³x sin(2x)dx= =e³x (3 sin(2x) - 2 cos(2x)) + C Find a a=1 201 3903 27 ~ tv 8 0 W

A:

Q: Verify the identity. 6 cos(sin-1 x) = / 36 – 36x2 Let 0 = sin-1 x = sin 0 = x = X. Thus, 6 cos(sin-1…

A: use trigonometric identity  to verify it.

Q: Solve 2 sin (z) – sin(z) = 1 over the interval (0, 2) O z= O z= 5, O z= ,, 2'6

A:

Q: 2 2 (5 cos? r* sin 0 drdodo: Tame 0 01

A:

Q: 9. Solve the equation for 0 < x S 2n: sinx + cosx = 0 10. Solve the equation for 0sxS 2n: sec?x +…

A: Given that: 9. sinx + cosx =010. sec2x+2secx=0

Q: 7x +3 r sin r 5. If w then what is dw/dr?

A:

Q: 3. fe2x+Inx² sin x² dx = = 2x -+√e²x cos x² dx

A:

Q: 1o² (sin x + cos x)dx = O 2 O None O 1

A:

Q: Solve on the interval [0,2n). (2 cos x + V2) (2 sin x – 1) = 0

A: Some trigonometry angles: 1.)sin90°+θ=cosθ2.)cos(90°+θ)=-sinθ

Q: Solve the following for 0 < x < 2n. sin? x 3 sin x +2 = 0 4T 3. TT O x= 3 6. 2 2 10T 3. T X = 2 1 6.…

A:

Q: Zcos?x+Sinx-|-0 COS Solve for 0L X Y

A: To find the value of x