this question. When you complete the square to make a trig sub on the integral V-x2 + 4x dx you could make the substitution: O x - 2 2 tan 0 O x- 2 2 sin 0 O x + 2 = 2 tan 0 O x - 2 2 cos 0

Q: (-9)" (2n)! (a)e³ (b) cos 3 V3 (d) sin 3 (e) None (c) cos 2

A: The given series is ∑n=0∞(-9)n(2n)!

Q: need help with attached, thanks

A: Given function and interval are,

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A: As per bartleby guidelines we only give first question answers.

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A: We factored the given equation and solve it.

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Q: A 0 B) 48 32 D) 96 If f cos42t dt = At - B sin 2t cos 2t + D sin 4t cos 4t + C where A, B, C and D…

A: The given problem is solved below in detail.

Q: 3. Find intervals containing solutions to the following equations. а. x – 2-* = 0 b. 2x cos(2x) – (x…

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Q: If f(x) = cos(3r), then f(77)(x) %3D (A) 37 cos(3æ) (B) 377 sin(3x) (C) –37 cos(3æ) (D) -377 sin(3x)

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Q: 14.4.39 dz dz and du -1 Find when u = In 2, v = T, if z= 2 tanx, and x = e+ cos v. dz (Simplify your…

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Q: Question 3 z+3 dx Use the substitution u = 1 - 2. 1 O sec I|+3 sin x+C OIn(1 – a) + 3 sin-1 a + C…

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Q: Question 010: Complete the following question involving Substitution Metho Given the integral S (3x2…

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Q: Question 009: Complete the following question involving Integral Tables Given the following integral…

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Q: =? |c0,1,1) What is the x* In(=) +sin xyz +ev = 0 y O a. -2/e O b. 0 O c. -1 d. O e. e/2

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Q: Which of the following is linearly independent? (a) 2sin?x & 1 – sin?x (b) 4e2x & e-2x (c) 3sec?x -…

A: We have to choose linear independent  solution set

Q: Consider solving x²V1-x² dx using trigonometric substitution. Which of the following is true? a. 2…

A: In trigonometric substitution method, the variable is substituted with a trigonometric function to…

Q: Question 1 For x=In i y=r2 find y " when x=0- 8 O 4 O 16 O 2

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Q: Question 009: Complete the following question involving Substitution Method. Given the integral [10…

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Q: 1. T /2 ptan y sec y x'cos² ydxdy 3n/2 er/2 2. T cosy sin2x dy dx II ye" dx dy 3.

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Q: What is the general solution, in degrees, to the equation 2cosxcos 2x – 2 sin x sin 2.x =-1? A. 40°…

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Q: 1. Find the area common to both r=2 and r=4 cos 30 11A 6. Зх 101

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Q: Question 4.32. If Var(X+ Y1+ Y2) = 25, what is Cov(X, Yi) for i = 1, 2? %3D a. 1 b. 2 С. 3 d. 4

A: Introduction: It is given that: Var (X) = 5; Var (Y­1) = 8; Var (Y­2) = 8. Since Y1 and Y2 are…

Q: Find a solution u(x,t) to the problem du Ət = 1.71 a^2u/Əx^2 , u(x, 0) = sin ( Tx/2 ) + 3 sin (…

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Q: If the substitution u = tan reduces the integral a sin r dx I b+c cos I 16u du to the integral (2+…

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Q: 2. Solve the following completely using MỤC: 18x +2-4 sin(x) dx dx"

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Q: Given /V-x²+ 4x+5 dx. Using trigonometric substitution, what is the integral form in terms of ? Sa.…

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Q: 1. S sin°(x)cos³(x)dx = sin13 x а. sin15 x + C 15 13 sin16x b. sin14 x + C 14 16 sin'x с. sin°x + C…

A: As per guidelines, We’ll answer the first question since the exact one wasn’t specified. Please…

Q: Question 5 Which of the following equations cannot be solved using the method of undetermined…

A: The solution are next step

Q: Given IV-x2+ 4x +5 dx. Using trigonometric substitution, what is the integral form in terms of 0 ? A…

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Q: Solve the following and show the complete solution. 1. Find Duf at P: f(x,y) = sin(8x – 5y); P…

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Q: 9. Which of the following is equal to feedt? A. ee C. eºx + C B. ee + C D. eºt + C 10. What should…

A: As we know that; The Power rule: ∫xndx=xn+1n+1+C And ∫c·fxdx=c·∫fxdx , where c is constant   (9).…

Q: Question 3 What is the general solution to the DE, = 2? – 2x + 2? What is the general solution to th…

A:

Q: Suppose that (ax + b) cos x dx = 12. Then the value of a equals: A) 6. B) -6. C) 6n. D) -6T. E) None…

A: Given: - The integral is, ∫0π(ax+b)cosxdx=12 To find: - The value of a.

Q: B C D N Given: √-x² + 4x+5 dx. Using trigonometric substitution, what is the integral form in terms…

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Q: Given the integral |10 * [cos(7x + 1)]2 dx and the substitution information u = 7x + 1 u' = 7 dx =…

A: To evaluate the given integral by substitution method.

Q: Question 007: Complete the following question involving Substitution Method. Given the integral (…

A: It will transfer to integration of e^u

Q: Question 7 What is the integral of f cos (2t)dt? O None of the choices cos (2z) sin(2r) 3 cos(2t)…

A: Given query is to find the integral.

Q: 1/2 cos t Evaluate the integral o dt. 4.- sin? t In a Give your answer in the form where a and b are…

A: Given: ∫0π2cost4-sin2tdt Let sint=xcost=dx Then sin0=0sinπ2=1 So, ∫0π2cost4-sin2tdt=∫01dx4-x2

Q: Question 1 xcos (2r²+7 )dx A -sin (2x²+ 7) + C B 4sin (2x²+ 7) + C B - 4sin (2x²+7) +C D - sin…

A: Given :∫xcos(2x2+7)dx

Q: Which of the following is a possible solution of y – 4y = 0 %3D O y =-2 cos(r) Oy = -e-2 O y = e" O…

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Q: Evaluate the integral: 7 I (cos x + 5 sin? x) dx a. 2 b. 0 С. 5л 2 + 2 d. 5 a None of these

A: Given: Let I=∫-π2π2cos x+5 sin2 xdx To Find: To evaluate the given integral.

Q: (d) Show that 1– ei(n+1)0 1 – eie ei(2n+1)e/2 ,-i0/2 - e 2i sin(0/2) Hint: Factor e!6/2 out of the…

A: 1-ein+1θ1-eiθ=1-ein+1θ1-eiθ÷eiθ/2eiθ/2                       =e-iθ/2-ein+1-12θe-iθ/2-eiθ/2…

Q: Solve the problem PDE: Utt=9UTT 9urz ВС: IC: u(x, t) = help (formulas) 00 u(0, t) = u(1, t) = 0…

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Q: The integral / 2/ ) cos(2*) dr takes the form & cosu du when u=2* and f (x) =x-5, What is the value…

A: Firstly We have to solve the integration, then compare to given form and find k. Then We get K+2.

Q: Given that 0 s 0s, sin (sin-1x - cos-x)= A. 2x -1 B. 2x²-1 C. 2x² + I D. 2x

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: (a) Let m and n be positive integers. Show that T if m = n, sin mæ sin næ dx 0 if m + n.

A: We know  Sin^2x= (1-cos2x)/2

Q: B C 1 x2-9 Consider S +3 - dx. Using trigonometric substitution, what is the integral form in terms…

A: Given: I=∫x2-9x3dx   ...1   As we know that the trigonometric identities; (1). tanθ=sinθcosθ (2).…

Q: Q2/ Solve the following equation using MATLAB 2. y = e-" sin(x)+ 10/ỹ, for a = 5, x = 2, and y = 8…

A: As per our guidelines I am solving only 1st for others kindly resubmit the question mentioning that…