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 CoS 4x 8. sin 6x +c 12

Q: 8. 9. A) 1−sinx Ĵ (COSX + 1 COS X+X 2(cosx+x)2 E) ·x)³ dx = ? 1+tan²a (2 + tana)² -+C B) +C D)…

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Q: sin 0 + In + 22+3 = -3 - cos 20 - In y? + 327-4 = + 2ln y+ 22 -3 1+ (cot 0)2

A: Given system is sinθ+ln1y+2z+3=-3 lny2+32z-4=1-cos2θ2 21+cotθ2+2lny+2z=-3

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: Given the following informationabout one trigonometric function, evaluate the other five functions.

A: Solution: Consider the given trigonometric function is sin θ = -45    and π < θ < 3π2 sin θ =…

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

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Q: P H2) = 3 (13) flx)- Sin () (x3-3x6x-8) 1. (15) Cos x %3D f66)=Sinx. +cosx 18 sinseti (19) 20)…

A: (1)f(x)=3xAs we know that domain is the set of possible input values shown on the x axiswhile range…

Q: Solve ( sin θ - 2r cos^2 θ) dr + r cos θ ( 2r sin θ + 1) dθ = 0 a. r sin^2 θ - r^2 cos^2 θ = c b.…

A: Given that sinθ-2rcos2θdr+rcosθ(2rsinθ+1)dθ = 0. The objective is to solve the given equation.

Q: sin (3æ) cos (4æ)dx 1 -cos (72) + cos (-a) + C 1 1 1 -cos (7x) + 14 -금in (7z) + 글sin (- 14 2 O A 1 1…

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Q: 2) sin cos-1 2V6 14 4) cos sin- 17 V105 -1 6) csc sin' 11

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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: If e /2i -sin2 then z = - 2 In(sin2) + 4KTO - 2i In(sin2) – 4kT 2i In(sin2) + 4k TO - 2i In(sin2) +…

A: Given e(-z/2i) = sin2 We need to find z. The solution is given below.

Q: (7) | 3 CSC' csc (2x + 1) cot(2x + 1) d.x (8) sin 0 cos 0 cos(cos 20) d0

A: We have to solve

Q: Įsin x cos^(3/2) x dx * O -2/5 cos^(5/2) x + C O None of the choices -5/2 cos^(5/2) x + C O -2…

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Q: Solve for x where x = [0,2π]. where x = [0,2]. State exact answers. Include sketches d cla m)…

A: SOLUTION-

Q: Establish each identity given in attachment.

A: Given equation: asinθ+bcosθ2+acosθ-bsinθ2=a2+b2

Q: ſcos (x/2) cos (x/3) dx * 3/5 sin(x/6) + 3 sin(5x/6) + C None of the choices 3/5 sin(5x/6) + 3…

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Q: sin 0 If 1+cos 0 x2 x2, then tan 2 - a) b) 4 c) x2 + 1 d) x2 |3| 2.

A: Given,  sin θ1+cos θ=x2 To determine tanθ2

Q: sin³ (cos(4) dx 2 32 Ⓒcos A COS 35 32 B 35 32 Ⓒ-3 cos (4) C 32 D 3/7/7 C (4)[-5cos (4)+7] 5³ (4)…

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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.…

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Q: 4. sin(4x) = (4 sin(x) cos(x))(2(cos(x))² – 1) %3D

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Q: ƒ cos(x³) x² dx. 1 ¹ cos4 + c 4 1 WIT 3 1 -| sin x³+ C 1 ·cosª + c 4 4 -3 sin x³+ C

A: Topic = Integration

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: sin(1) dt Using an appropriate substitution, evaluate: [2+ cos(t)]* A +C 3[2+ cos(t)]3 3 B +C [2+…

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

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

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Q: – 1) sin a cos a - sin æ 9(cos² e – 1) O 9 tanx + 9 sec a O 9 cot a + 9 cscx O 9 tana + 9 csc a O 9…

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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: a) _*? (1-x²)Z x+3 b) S- x2+2x+5 c) Find the value of sin(tan-1- sec-d) dx d) S x² Vx2+1 e) S Vx2+2x…

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Q: 1. Determine (i) |cos (2x– 7) dx dx (ii) x +9 (ii) dx 4-9x² 2. Determine (sin x cos x dx using (1)…

A: Since, you have posted multiple questions we will only first question with three subparts as per our…

Q: Sin x 10. y = 2+Cos x 3 2+Cos x Ob. (2+Cos x)? Cos x C. (1+Cos x)2 1+2 Cos x d. (2+Cos x)? Oa.…

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Q: sin 3x + sin xr 3.2.1 = 2 sin x %3D 1+ cos 2x 3.2.2 sin 70 – sin 50° = sin 10 %3D Solve for x : 5tan…

A: The objective is to prove the given equations

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: 5. у %3D sin?(3x? — 1) 6. Р() %3D 4csc(sin3t) ans. y' = 6xsin(6x² – 2) ans. P'(t) =…

A: Topic = Derivative

Q: the sum of sin h 2x and cos h 2x

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Q: f2(x) = (4x + 5)°, fa(x)= (2x² +x)VI, fa(x) cos(3r) – 2 sin? x, COS

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Q: 1) z = 6| cos 3T +i sin 2 +i sin 6 W = 12] COS 6 Find 2.

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: 1+ sin 0 . Verify cos O 2 sec e Cos A 1+ sin A

A: Our Aim is to verify 1+sin θcos θ+cos θ1+sin θ=2 sec θ -(i)

Q: ſcos(5x-8)cx O a. cos ec(5x – 8) +c O b. sec (5x – 8) +c O c.- sin(5x-8) +c 5 O d. sin(5x-8) +c 5

A: Please refer the attached image for complete solution.

Q: 12. Which is not a solution to the equation sin x = cos x-1? %3D A. x = 1 B. x == C. x = 3n 13.…

A: We will find the correct options for each question as following.

Q: cos(x) + s(3x)+ 25 cos(5x)+..) 4 Ans. + sin(x)- sin(2x)+ sin(3x)– ...

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Q: Factor  Cos^4 x + 2 cos^2x + 1

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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: 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: + i sin 12 22 = 2| cos 12 5m + i sin 12 5. Let z1 = 4 cos and 12 Find z,2, and

A: Given complex numbers are in polar form. For multiplication of polar numbers, the magnitudes are…

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: 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: de 2- sin(e) ( cos(e) de 1+cos(0) de 2- 3sin(e) de 3sin(e) + 4cos(e) + 5 de sin(e) + 3cos(6) + 3

A: SOLUTION Given ∫dθ2 -sinθ∫cosθ dθ1+cosθ∫dθ2-3sinθ∫d θ3 sinθ+4 cosθ+5∫d θsinθ +3 cosθ+3 we need to…

Q: sin(3x)cos(3x) sin(2x) 의[cos(2x)-1]+ +C 12 8 4

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Q: 50 a) Sin 25 b) Sin- Sinl0 =? Cosl0° Sin 5° = x, Cos 5° =y Sin 105° - ?

A:

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.