2n (1-cos0 5. Evaluate p³cos²0 dpd0

Q: 1. 6(x) = e- sin a, for y' + y cos x

A:

Q: Find L[et tsin(2t) - e-2t+3 +e-2t cos 3t]

A: BY USING THE LAPLACE TRANSFORMATION RULES  WE GET OPTION (D) IS CORRECT OPTION.

Q: 15. Evaluate 2 (3x + cos 4x) dx

A: The given integral is: I=∫0π2 3x+cos(4x) dx

Q: S 4- e-2) cos(e- + In z) dz

A:

Q: 5. In AABC, m2B = 90°. sin A = 2x + 1.5 and cos C = 3x – 0.9. Find x.

A: Given: In Triangle ABC∠B=90οsinA=2x+1.5cosC=3x−0.9x=?

Q: Find an antiderivative of the given function. 4 cos 9x O A. sin 9x O B. - 36sin 9x O C. sin 9x O D.…

A:

Q: M3.2 Trigonometric Groups 3. S sin³x cos xdx 4. S Vtan x sec*x dx

A:

Q: sinx S- cos?x+ 6cosx+13 O In cosx+3-Vcos²x+6cosx+13|+C O In cosx+3+/cos²x+6cosx+ 13 O…

A: To find:

Q: 3. у %3D In(5 — е**) 4. x = et (cos 2t + 2 sin 2t)

A: Now the first given function is ln5-e4x The second given function is x=etcos2t+2sin2t To find the…

Q: ー1 B Cos (2 oin (oen 3 + cas の An

A: Sin(A+B)=sinAcosB+sinBcosA

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

A:

Q: x2 Vcos(t) +3 at 1. COS 2.

A: Given that, the integral ∫2x2cos t + 3 dt

Q: cos(nm) 37-1 + 1 n=1 5h

A: Consider the series as, S=∑n=1∞cosnπ·3n-1+15n Expand the series as,…

Q: Pre cal How do I evaluate?

A: Given expression

Q: evaluate using the appropriate method or combination of methods.

A: Use the reciprocal identity of trigonometry

Q: 11) (3ysos(3a By cos(3

A:

Q: Evaluate: L{cos(3+2t)} s cos32sin3 A s²+4

A:

Q: raluate 1+cos 4r 1-cos 4x

A:

Q: Evaluate the followings: (1) S" e-2x x² dx (2) S cos® 0 de

A: Since the question has multiple questions. But according to guidelines we will solve the first…

Q: E(- 1y**cos(nx) n=1

A: see 2nd step

Q: 4 cos z Evaluate S 16-y2 ydxdydz

A: To solve the given triple integral ∫0π∫04cosz∫016−y2ydxdydz…

Q: 2n 1+cos e 6r2 cos e drde

A: This is the double integration

Q: O cos Z 12 15

A: Right angle triangle

Q: If L{cos(ax)} then find L{x³ cos(ax)}. %3D p2+a²

A:

Q: 1. Evaluate cos 0 within AABC. 17 15 cos e = Enter your next step here trig D 2 Skip step LHC3320…

A:

Q: The value of the integral . rcos ydydr is cos 8 cos 4 b. - cos 8+ cos 4 2 1 c. cos 8 – cos 4 + Cos 8…

A: SOLUTION-

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

A:

Q: 7L 1 Se cos 2t dt

A: Given,            ∫e7tcos2tdt

Q: 2. Find the antiderivative of COS -2 sin a Simplify dr

A:

Q: Q3) Express cos(x²) as a power series. а) 1. 2! + 6! 4! x10 + 3! x14 +. 7! b) 1– 5! c) 1– x5 x7 + 7!…

A: To express the function cos(x2) as a power series. Here, note that the power series of the function…

Q: Find: L [sin 2 5t ]. 0-co 5 Cos 10t) s² + 25 O A.) B.) 1 5 s² +25 2s 2(s +100) C.) D.)

A:

Q: 3. cos 20 de –2p cos 8+p2 , p| < 1 [). 2np2

A:

Q: du Given u In[y cos(3x²y)1, solve CoS %3D ax

A:

Q: for 0 (0° < 0 < 2n) in the equation 2sin e cos e - sin e - 2cos 0 + 1 = 0.

A: Given that, 2sinθcosθ-sinθ-2cosθ+1=0. We know that, sinθ=sinα⇒θ=nπ+-1n+α       α∈-π2,-π2…

Q: 8. 6x° cos (x³) dx

A: ∫ x8cosx3dx

Q: Find L(e³t cos 2t)

A:

Q: # 2. So sin 32 dz C: Izl=3 (z-5)

A:

Q: 2sin (2x) cos(2x) dx = cos (2x) + C sin (2x) + C 6. the above the above cos (2x) + C 6. sin (2x) + C…

A: We need to evaluate ∫2 sin5(2x) cos(2x) dx                           (1) Let sin(2x) = t On…

Q: 22: Evaluate Sea s cos²(y s) ds.

A: Solution:-

Q: 3. Determine the values of 0 if 0 < 0 < 2n given that cosx process. - 0.3178. Explain your

A: When considering the circle our degree values changes from 0 to 360. So we know in which quadrant…

Q: Q3. Calculate L{e-ª cos(2t – 1)} COS

A:

Q: 2x Cos 23 find diy %3D

A:

Q: 10. If h(x) = x²2cos 2x, then h'(1) = A. 4cos 2 B. 2· 2cos 2x (1 + In 2) C. 21+cos 2 D. 21+cos 2 (1…

A:

Q: Find L{(t- 2) (3 cos 5t +1)}.

A:

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

A: The solution is given below

Q: -2) (2n) (ale tnd (d) sin 2 (b) cos 2 (e) None

A:

Q: dy.xandy in =cos = COS e

A:

Q: Given that 7(1 + h) – 7(1) = (h - 1 + cos(h), e" -e-", In(2h + 1)) for all h where -. a 7'(1 :…

A: We will use the definition of derivative to find r'(1) as shown below

Q: cos40 = 8cos*0 – 8cos20 + 1

A:

Q: 4e + 6x° + 9 cos z)dr %3D

A: Given