Find sin(x) and cos(ß), tan(x) and cot(B), and sec() and csc(ß). 4 7 (a) sin(x) and cos(ß) (b) tan(x) and cot(ß) (c) sec(a) and csc(ß)

Q: If the general solution of the equation y" +9y = tan3x is expressed as y = f(x)sin2x + g(x)cos2x ,…

A: Given - If the general solution of the equation y'' + 9y = tan3x is expressed as y = fx sin2x + gx…

Q: 3 (b) / 2³ x³ cos(x¹ + 2) dx

A:

Q: Sco The value of cos (x+3) dx with U=x+3 is -cos (x+3) sin(x+3) +C -cos(x)+c

A: The given integral is ∫cosx+3dx.

Q: 2:)y= 2x cos G) yous? (x²) +y sin² (x?) 2

A:

Q: (D² – 5D + 6)y = 15 sin x – 15 cos x - -

A:

Q: x? x3 (i) e* = 1+x+ 2! +. 5! (1) 3! 4! .7 x3 (ii) sin x = x – 3! x x' + 7! (2) 5! +

A:

Q: -3x cos(x) + C2 e ,-3x ¯ 3" sin(a + c2xeš* -2x + c2 e2a * + C2xe-2

A: Given : The given equation is  9y" - 6y + y = 0

Q: (b) (cos(x) (2x + 3))'

A:

Q: d Select one: æ(sin=! æ)* 3x + 2 sin- x 3x x(sin x) -1 + 2(sin-1 x)? 1-a2 x² (sin-1 æ) 3(sin1 x) +…

A:

Q: " + y = 12 cos 2x - sin x. A. " + y = sin 3x +4 cos x. A

A: Given: y''+y=12cos2x-sinx

Q: Q. It sin x Cos X XCOS xQ /- sin xd 3.

A:

Q: -3x cos 2x da A) - cos 2x - 3x sin 2x + C B) - 2x- sin 2x +C s 2x - sin 3x + C D) - cos 2x - sin 2x…

A: Since you have posted multiple questions . As per the guidelines we will solve the first question…

Q: Evaluate D(sinx – 4e2) D³(sinx cos x-32 e В -cos x-32e2 C) -sin x-32 e2x (D sin x-32 ex A

A: The objective is to evaluate, D3sinx-4e2x

Q: Topic: Variable Separable and Homogenouse D.E. I need particular solution for 4

A: We have to solve

Q: z2 = - sin (z+y+2) ( '+ ) xy 3z + sin (x+y+z). dz -xz - sin (x+y+2) he he

A:

Q: = f(x) = 7 cos x %3D

A: Then substitute z and differentiate both sides with respect to x

Q: S A. sinxcosxdx √esc²x-1 2 B. 7 COS X 7 5 COS X 5 5 cos³x x + C X 5 7 COS X 7 +C C. D. sin7 x 7 5…

A:

Q: x sin (x²) cos(x²), from a = 0 to b = x 2

A:

Q: 6. f(x) cos (4x- 16), when x = 4 (0 in the given function is in degree measure)

A: Given- fx=cos4x-16 To Find- The value of the above expression when x=4 and θ in the degree measure.

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: 1. The expression sin(x +y) +sin(x-y) is equal to A. 2 sinx siny B. 2 sinx cosy C. 2 cosx siny D.…

A:

Q: 7. y = cos`x sin'x %3D 3 A. – 4 cos x sin x B. – 2 sin sin 2x 3 2 C.- 4 cos´x + sin' D.- 2 sinx cos…

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Q: 2z2 cos 5z dz EVALUATE.

A:

Q: If ¹f [ 2³ sin ædæ = −2³ cos x + 3x² sin æ+ 6x cos a - 6 [ f(x)dæ, then f(x) = a. x cos x b. sin x…

A:

Q: b. f(x) = -3 cos [4 (x -+ 2

A: Givenf(x)=-3cos[4(x-π8)]+2.

Q: 2) S e3se c(x), sec(x). tan(x) dx

A: Given: The integral is ∫e3sec x·secx·tanx dx

Q: 4 sin"t- cos *t= sint- cos 4 2 2

A:

Q: Evaluate D3(sinx – 4e) A cos x-32 ex B -cos x-32 e?x -sin x-32 ex sin x-32 e2x

A:

Q: y = e2* (c, cosx+ c, sin x)

A:

Q: c) f(x)=tan(cos².x) 11 COS X 1+ sin.x Dy=- b) y = 2

A: e)  f(x)=tan(cos2x)  f) y=cosx/(1+sinx) g) y=ex^2/x3 Repost the next part.

Q: Q/ solve the differentil-equation ty-f'sinx-x)+(3xy+2y.cosx)

A: We will solve the problem.

Q: 9- for y = cosx is dx a)sinx b)sin2x c)-sinx

A: As per the bartleby guideline for the multiple question it is allowed to solve first question of…

Q: 12. Given that V3 cos x = cos(-x), tan x= A 3. cos(f B V3 C 1. V3

A:

Q: 4) Find when y? – x² + cos(x + y) = 0

A:

Q: 2- Find the Root of the function F(x) = e*(3.2 sin(x) - 0.5 cos(x)) Using XL=3 , X,=4 , Ɛs= 0.002

A: This is to be solved by successive bisection method.

Q: V3 If sin x = - and -90° S x S 0°, evaluate sin 2x 2 1 2 V3 2 1 2 V3 2

A:

Q: h(x) = x – sin x for 0 <x < 4A -

A: Given the h(x)=x-sinx for 0≤x≤4π We need to determine: a)the intervals of monotonicity for the given…

Q: 7 sin (x)cos(x)dx = + C

A:

Q: 2) x³y? = 2x + 2y3 3) y = sin?(x) – cos³(2x) + 2 www. .

A:

Q: 6 (A) /₁ √== B)/ -x/4 D) dx = tan* (x) sec²(x) dx = C) [rea *² x² ex dx = E) 2x cosh(x²) dx = F) /…

A: Since you have posted multiple questions. As per guidelines we"ll solve only first question. If you…

Q: Evaluate D³(sinx - 4e²x) (A) sin x-32e²x (B) -cos x-32e²x C -sin x-32e²x D cos x-32e²x

A: Finding the third derivative of the function

Q: (5e" + 6x + 5 cos z)da

A: The solution is given below

Q: . Evaluate [10x cos(x²) dx . A) sin(x³)+C C) 30 sin(x') +C 3 B) sin(x') +C 10 D) 3 sin(x') +C 10

A: Our Aim is to evaluate the integral given below:-∫10 x2 cos (x3) dx -(i)

Q: Evaluate D6(cosx+e-2*) (A sin x +64e -2 B cos x – 32e-2r (c - sin x – 32e-2x cos x + 64e -2x |

A:

Q: 6. Using a suitable substitution in each case, integrate the following w 1 (a) x2 + 10x + 29 sec?,…

A:

Q: 4. f(x) = 2 cos(x – 2n)

A: Given:  f(x)=2cos(x-2π)

Q: y = tan x sin (2x)+cos (2x) 2 y' = A sin (Bx) + Ccos(3x) 3. A = B = C =

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: g(x) = 2 – sin x 5m/2 2m 3m2 2 m2 3m12 5m/2 f(x) = sin x

A: For a function g(x) to be greater than or equal to some function f(x), the graph of g(x) must always…