Find Lt cos 9t] ?_81 (s²+81)? 9-s (s²–81)? 9+s s2-81 81-s s2+81 O O O O

Q: b. Prove that 1+cos20 +isin2030 cos600 + isin600 1+cos20 -isin20

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Q: Derive formula (2) on page 601. cosucos v 5lcos (u – v) + cos (u + v)]

A: Given equation is cosucosv=12cosu-v+cosu+v. cosu-v=cosucosv+sinusinvcosu+v=cosucosv-sinusinv

Q: 5)Prove that (1+sinx)(1+sin(-x)) = cos²x (manipulate left side in order to get right side) %3D

A: We have to prove the given identity: 1+sin x1+sin -x=cos2 x We know that sin -x=-sin…

Q: Evaluate 7`-3z²+4x-8 dr dx 프(22+4) O In#(2? + 4)*| + In (2 + 4)* + -글tan 1 (플) + C Omp(22+4)| + -tan…

A: The solution is given below in the next step:

Q: 5. Show that dS = 0. lav

A: The objective is to show that, ∮∂VdS=0. Let V=cT where c is a constant vector. Now by divergence…

Q: | In(vE + 5)dt

A: Given: I=∫lnt+5dt  ……1

Q: Show thatI cos ve (-1/4s)

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Q: 1. tanosin20 = 4tan0 %3D

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Therefore, YZ-F Find the coc 1. (-2, 3, 5) an

A: “Since you have asked multiple question, we will solve the first question for you. If you  want any…

Q: Find the indefinite integral: O 10sin 3x - 20 cos 2x +6 e5x + C 90sin 3x 60 cos 2x + 150 e5x + C…

A: The objective is to find the indefinite integral.

Q: Compute without using a calculator.

A: Given expression : sec-1sec3π2 In the interval  0,π ,  sec-1secθ=θ  In the given expression ,  θ…

Q: Find all solutions of 4sin^2xtanx−tanx= 0 that are in the interval [0,2π)

A: Given the equation  4sin2xtanx-tanx=0. We need to find the solution in the interval [0,2π)

Q: కషిద్టి చవీ / tangent s lope rosin (20) when Jot 5 2) 653 3. not of the above

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Q: Sole 5sin =2) = 3for thefour smalest postive outons T = Give your answers accurate to at least two…

A:

Q: M= sen 50° · cos 10° - sen 25° cos 35° sen 12,5 °. cos 12,5°

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Q: 6. Prove that 1 cosh(tanhx) : -1 <x < 1. V1- 12

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Q: A statistics professor has noted from past experience that a student who follows a program of…

A: Given that  A statistic professor experience a program of studying two hours in a class has a…

Q: Evaluate. 2tan2120° +2sin2150° -cos20° 5sin2300° +csc2150° -sec230°

A: To Evaluate. 2tan2120° +2sin2150° -cos20° 5sin2300° +csc2150° -sec230°

Q: Find the product of approximate numbers x, = 2.37 and x, = 20.3546 all of whose digits are valid.…

A: Here, we need to find the product of approximate numbers x1=2.37 and x2=20.3546 all of whose digits…

Q: bounded by + 22 %3D

A: z&gt;0z=x2+y2z=1-x2-y2Intersection;x2+y2=1-x2-y2x2+y2=1-x2-y22x2+2y2=1x2+y2=12x2+y2=(12)2;  circle…

Q: At what wräluer of * id fG)= メ-メ-2 ズ- 4 discontinuous?

A: The function will be discontinuous if the denominator is 0.…

Q: Prove using the IVT. ex + In x = 0 has a solution.

A: IVT: If f is continuous on the closed interval [a, b], f(a) ≠ f(b) and k is any number between f(a)…

Q: tan 30 + 2S in Go +Cos 30 -tan 60 4.

A:

Q: Show that L₁J - dx x² + 2x + 2 = In(√5-2).

A:

Q: Prove that ; cosec x . cosec 2x . sin 4x . cos 6x . cosec 10x cos 3x + cos 5x cos 7x cos 9x sin 2x…

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Q: You are provided with 15 and 20 cent notes. Show using strong induc- tion that all amount that are…

A: Given: Let us consider based on the given data that Sk = 5k and be S1 = 5. Because given that all…

Q: (8) If fCx) = 3x*- +4X +1, Sind

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Q: 5. 4 f sin + 2zdz

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Q: Evaluate: / sec (5x + 1).5dx Select one: O cor(5x+1) + c O tan(5x + 1) + c O cor(5x) + c O tan(5x) +…

A: Use the substitution method and simplify the given integration than integrate.

Q: prove tan^4x=cos4x-4cos2x+3/cos4x+4cos2x+3

A: Basic trigonometry proof

Q: 4 Giren tan A =– where 0<AS Find 2sin 2A.

A:

Q: to itself. Show all your work to recei

A: given as,

Q: it is unbaised estimated of a Then Show That ta is baised estimated of 02. Theorem:- if

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Q: Prove that osIl" + sini = tan s 56° cas 11-sinll %3D

A: -To show:cos11o+sin11ocos11o-sin11o=tan56oBasic formula needed:-tan(A+B)=tanA+tanB1-tanA.tanB…

Q: 1 .Prove that : sec q + tan q = 2x or, 4x If sec q = x+ 2x

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Q: Give the general soulution for 5cos2x-1=-cos2x+2

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Q: secx + 1 51. secx - 1 (cscx + cotx)? %3D 52 56 verify that the equat

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Q: Find , if da y = 3x cos4x 12x* sin4x – 10x cos4x None -2x4sin4x – 12x° cos4x -12x4 sin4x + 12x°…

A:

Q: © Find the singular value deomposition of the matix I- A =

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Q: Compute sin (3r)dr (25z4+1)2 -

A:

Q: tost con Vergen ce and divergence 2 Lnn /-

A:

Q: None of These cosh(4t) 7. 2. 7. - sinh( 21) sinh(4t) 7. cosh(21) 7. Sて 1/2 1/2 1/2 1/2

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Q: Let fla)= é cosx, s** %3D Express your answers in exact form.

A:

Q: Express the first four cumulants in terms of central moments.

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Q: sec 1.)S Intanßtanß dß

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Q: 38 Show that x² V2x – 3 dx - 35

A: use the formula below to evaluate the given integral.

Q: (cos 20+ jsin 20) (cos 60+ jsin 60)1" (cos 30+ jsin 30)°(cjs 1000)

A: the given expression is cos 2θ+jsin 2θ5cos 6θ+jsin 6θ10cos 3θ+jsin 3θ9cjs 10θ Using De Moivre's…

Q: Find the root (7 – 7i)/2 O +7/2[cos(x/4) – isin(x/4)] O +V98[cos(r/8) – isin(x/8)] O +7/2[cos(x/8) +…

A:

Q: Prove that: 3-4x² dx 4VIn3

A: The given integral is I=∫0∞3-4x2dx. The idea is to evaluate the above integral using gamma function.…