450 400 AA 350 300 250 200 150 100 50 -4 -50 8 16 24 28 36 12 20 32 -100 -150 -200 -250 -300 Dy = -250 sin (x) + 100 Submit Answer Dy = -250 cos (x) + 100 Dy = -100 sin (x) + 250 Dy = –100 cos (x) + 250

Q: 25. y = x² sin“ x + x -2 = x* sin' x + x cos

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Q: 5) cos A 30 B 16 34 7) sin Z 32 40 24 x, 9) cos Z 24 30 x,

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Q: v(x) = 4 cos(sin(3.x)) Select the correct response: -12 cos(3x) sin(sin(3 o -12 sin(3x) cos (3.x) o…

A: Using the chain  rule to calculate the derivative of the function.

Q: 3π sin°Hcos* () da 5х. F sin ()cos* () . 4 0. 6. 6

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Q: 2 WWw -21 2T -TT TT -2 -4 -6 s(2) = 3sin(x + )-2 f(x) = 3 sin x + 4 A) f(x) = 3 sin 2x + -2 B) f (x)…

A: Please go through the attached solution.  Thankyou . Best regards.

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: 1 In [cos"-1 (3x) sin (3x) +3(n – 1)I-2] 3n 1 h= sin (3r) %3D What is I, ? I.

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Q: 12. x²y" – xy + 2y = 0; yı = x cos(In x), y2 = x sin(In x) Je

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Q: -2 a -1 23 1 b-a 2 1 4 T -cos³x sin ²x 1 -2 - e b+ a e 3-b - 1 2 NO - 1 1 -1 O 2 1 013 4 1 خدم برد…

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Q: /2 S cos (x) sin (æ) da = COS 0. 6. 15 15 O None O 15 2 45 2

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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…

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Q: 2'2 (a) sin-'(0) = V2 -1 (b) sin %3D (c) sin-'( – 1) =

A: we have to find

Q: 3. V2 C T. V2 V2 3 10. sin B =[Select ] 11. cos B = [ Select ] 12. tan B = Select] - -13

A: Trigonometric ratios

Q: 57 sin 6 (똥 + 미) =글(c8 )%3D (cos w - V3 sin w) -

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Q: 7 sin(2t) + 4 cos(t) = 0 %3D

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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: 2 - ƒ (t) = sin 0.5t + ²⁄t – 3 8 cos 32t

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Q: a) 2(sin x)? – 1 = 0 [0,27] b) 6(sin x)² + cos 2x + 1 = 0 [0,2n] c) (cos 2x)2 + cos 2x + 1 = 0 [- ,…

A: (a) ⇒2(sin(x))2-1=0⇒(2sin(x)-1)(2sin(x)+1)=0⇒sin(x)=12 OR sin(x)=-12⇒x=π4, 3π4 OR x=5π4, 7π4

Q: 1 sin(2x): -1 sin(2x) 125 %3D (D²-1) True False

A: 1(D2-1)3sin(2x)=1(-22-1)3sin(2x)                             =1(-5)3sin(2x)…

Q: St' sin(2t*)dt (sin(2t*) - 2t*cos (2t*)) + C (sin(2t*)-2t cos (2r*)) +C 14 1 (sin(2t*)-2t cos (2t*))…

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Q: Ave homerks anly -Sinx de Je esCaK-Cotax tany 6) X-1 Sook cos X-4 da Cos X f(onx-Sinede

A: As per company's guidelines, I can answer only one question. To know rest please repost the question…

Q: 1. The value of A. sin-¹(²*²+¹) + C 5 sin-¹(²*x+¹)+C B. C. sin-¹(+¹) + C D. sin-¹ (¹) + C 2x

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Q: у" + 25у %3D 0, у(0) 3 6, у'(0) 3D —4 Y(x) = | 5 cos( 5x) – sin(5x) sin (5x) x

A: We have given differential equation y"+25y=0 with initial conditions y(0) =6, y'(0) =-4 We have to…

Q: 12 0 in quadrant II 4 0 in quadrant III 43. sin 6= O in quadrant IV 5' 44. cos 0 = 45. cos e = - 13'…

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Q: 2 3) 9 = x ² sin x y વચ્ચે ઝ 4) y = sin x 1-2 cos x

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Q: 22. If y = (1- sin?x)i then y" is b. 1 COS X 2° а. C. - cos x d. -sin x sin x HIN HIN

A: The second derivative of the given function is solved in detail below.

Q: tan x.cos xr =D1 (p) X UIS sin? 0+sin? 0. tan? 0 = tan? 0 (1) 2 %3D 1- cos 0 cos? 0 + 2 cos 0+1 1+…

A: Since you have posted multiple subparts we solve first three subparts  for you To get the solution…

Q: A/6 Evaluate the integral 3cos 3t sin 3t dt. A/6 | 3cos 3t sin 3t dt = (Type an exact answer.)

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Q: 2 7 sin a da 1+ cos z

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Q: Cos 9 2 Sin e cos8 © cos (e) cos o (d) cos'x + 2 Sinx + 2 = o

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Q: Verify the identity sin t - cos 2t = (2 sin t - 1)(sin t + 1).

A: sin t - cos 2t=(2sin t-1)(sin t +1)Formulascos 2t= 1-2sin2t

Q: One of the correct steps to evaluate A B) None Ⓒ [+ + [ 1².40-16.4040] -S de cos 40d0 + [ 140 + 1 =…

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Q: Question 2 Differentiate y= (3 cos x – 2 sin (2r))² A y' = [-6 cos x + 4 sin (2x)][8 cos (2x) + 6…

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Q: 10telupleO nnidgs c) tanx = -1.5 d) 2 sin x = 1.05 %3D 0". rdguena a": 123-6 b": o"11so b" 303 6a" द…

A: Note: As per our policy we can only solve three subparts of the  question.

Q: 14. Find dr/de: r= 0 sin 0 + cos 0 а. cos @ b. 0 cos 0 0 sin 0 C. O a O b

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Q: 1. у %3D х3 — х?cosx + 2xsic 2 sin x – 1 2. у%3D cosx+ 2 3. tan(xy) + xу %3D 0 4. у %3D хсоsх

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Q: 1. Express as a sum or difference a.) sin 7t sin t b.) cos 6u cos (-4u) c.) cos 2t sin 6t d.) 2…

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Q: a. 2 sec (5x²) tan(5x²) + C b. tan (5x) + c c. 10 tan (5x) + c d. none of the above 27. Evaluate csc…

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Q: 2. If x = 2 sec 0 and 0<0< T/2, then %3D (a) sin 0 = (b) cos 0 (c) tan 0 =

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Q: х3 — 2х? — 5 %3D 0, [1,4] b. х + 3x2 — 1%3D0, [-3,—2] а. X - cos X= = 0, [0, л/2] d. x —0.8 — 0.2…

A: "Since you have posted a question with multisubparts, we will solve first three parts for you. To…

Q: 3) [~x cos² (x3/2 - 8) dx , A)sin (x/2 - 8) + C 1 = x3/2 – 8 3) 1 B) a32 - 8) + sin 2432 - 8) • C D)…

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Q: 2. Show that: (i) sin (ii) A" cos (a + bx) = [2 sin bx + n cos - sin b (iii) A cot (a + br) = sin (a…

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Q: Solve for θ : (cos θ + i sin θ) (cos 2θ + i sin 2θ) …. (cos nθ + i sin nθ) = i

A: We have to solve for θ: (cos θ + i sin θ) (cos 2θ + i sin 2θ) …. (cos nθ + i sin nθ) = i Then we…

Q: Q.23) cos Q.24) cos(sin ¹x) = 24 sin11x) √1-1 d)√1-x² b) (sinx+1)+c 11

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Q: 8]. r = sin 0 -2 cos 0

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Q: 23, sin 50° + sin 40° 23. sin A VZ cos 5° B 2 cos 10° 2 cos 5° D V2 cos 10°

A: Trigonometric identity: sin x+sin y=2sinx+y2cosx-y2

Q: sin 5x sin adx =? O A, sin 4x sin 6x +c 6 4 sin 4x sin 6x OB. 8. +c 12 O C cos 4x 8 cos 6z +c 12 O D…

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Q: Solve the trigonometric equations for 0 ≤ x ≤ 2π a. Tanx = √3/3 b. Cos x =  -½ c. Sin x = ‐ √3/2…

A: Since you have posted a question with multiple sub-parts, we will solve only first three sub-parts…

Q: Complete the following tables using exact values.

A: To complete the following tables using exact values.