Prove that tanodo-n//2.

Q: Evaluate the integral (2 + 6) (2? + 6z + 2)*dz by making the substitution u = x² + 6x + 2. + C

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Q: Find the exact value of 2tan 15° /(1 - tan2 15°)..

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Q: pany 2 = 355 3.24 = 0.52 on about these two co

A: The null and alternative hypothesis is as follows: Given: As the population standard deviation is…

Q: Q1: Prové by induction nzZ! ☆ (1- 1 htI ( Here JJ (Pi") stande for froduct) means (I- I

A: A detailed solution is given below.

Q: If n is an odd natural number prove that I =, xsinnx dx = sinx 2.

A: Consider the given: It is given that n is an odd natural number, Take n = 1,Substituting n=1 and…

Q: If f(2) = cosh (In a), then f'(7) = %3D Your answer should be rounded to the nearest whole number if…

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Q: find maclurin formula in the fourth degree for f(x)=secx

A: To write the maclurin formula in the fourth degree

Q: 3. Suppose csc(A) 2 where A terminates in QIV, and sec(B) = -3 where B terminates in QII 4

A: The relation between the sides and angle of right angle triangle are expressed in the ratio called…

Q: 1. Use the Intermediate Value Theorem to prove that the equation 3x - 4x? = 3 is solvable on the…

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Q: Show that sin mx cos nx dx = 0 for positive integers m and n: i using the primitive, ii using…

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Q: Solve the Auxiliary DE 75. и"" + u" — 2и 3D 0

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

Q: In the given question, verify the identity:-   cosh2 x =- 1 + cosh 2x/ 2

A: To verify: cosh2x=-1+cosh 2x2

Q: Verify the identity cosh2 x = (1 + cosh 2x)/2

A: We simplify each side using the formula of cosh(x)   Left side:

Q: Show that sin 3x and cos 3x are orthogonal on [−π, π].

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Q: 3- Vn n=1

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Q: 2. TER-1 to be, Hn E IN 1+r+4---+ 1-r Shoh that

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: Suppose csc(4) =2 where A terminates in QIV, and sec(B) = -3 where B terminates in QII

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Q: 3. Prove that: tan-1z +z %3D

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Q: af af дх ду af az and of. HINT [See Exam Find 24 fx, у, 2) : x² + y2 + z2 af af ду af az %3D

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Q: Prove that: sec a + sec(120° +a)sec(120° – a) = –3 sec 3a

A: To prove that  secα+sec(120∘+α)sec(120∘-α)=-3sec3α

Q: what is Selution of DE (D-20)Y=ê Sinx When Sotved using the meth ed of undetermind

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Q: Using the substitution u = 2x – 1, prove that - -3 8 dx 1 (2x-1)3 25

A: The given integral is ∫13x(2x-1)3dx Put 2x-1=t⇒2dx=dt when x=1 then t=1 and when x=3 then t=5 So,…

Q: HW klx) = 2x+5 ㄱ 1. Find ke-¹(x) 2. Prove by kokorklok

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Q: 3. Prove that: tan-1z = Z 2 in () i-z.

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Q: What is tanh (Ei) O V3 V3i O 13

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Q: cancer u alcurate 5th on diagnostic test is 9s 2 those who halse A 'cancer cnd on those wno do not

A: Given that, As the test is 95% accurate for both who have cancer and who don’t, therefore the…

Q: Explain why AGHL ~ AGJK K I UE E

A: Explain the similarity

Q: Prove that : <(tan"e) - Ve +1 2e 2 +. Ve? +1 tan

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Q: Prove that CP PS AM BN 9. MQ NR

A: Consider the equation

Q: Express in the form x + jy Q7/ (2) In(3 – j)

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Q: Suppose csc(4) = 2 where A terminates in QIV, and sec(B) = -3 where B terminates in QII %3D

A: Given that                                     we have to find value of…

Q: What is ! 2 ? tanh -1 o 0.549 + 1.571i o 0.549 - 1.571i O -0.549 - 1.571i O -0.549 + 1.571i

A: Here we find value of arctanh(2) =?  We know that arctanh(z) = (1/2) [log(1+z/1-z)]

Q: Prove (05t - sin 4t tos?t

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Q: 3. Suppose csc(A) = where A terminates in QIV, and sec(B) = -3 where B terminates in QII

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Q: Q(x) = √3/2+² Ser fet de Prove that & QQ (-∞ ) = 1

A: Here we can use Gamma function formula Γn = ∫0∞ xn-1 e-x dx to evaluate the given improper integral.…

Q: cos (o,+ O>)+ ì s:in (8,+Ə.)) Prove this kW- Mon 183O

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Q: Use residue to evaluate the integral 2л 3 + 2 cos 0 do 5 + 4 cos 0

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Q: "(2) is also analytic, and hence its

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

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Q: ∞ sin2x dx 0 (x²+1)²

A: We have to solve the given integration by residue theorem

Q: tan 4X Prove that 4t(1-ビ) if 1-6t +tf t=tan

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Q: Compute for the value of tanh-(1 – i) In 5 my + 2.13i In /2 + 2.13i Inv - 4.25i 2 In /2 + 2.13i

A: Let, tanh-11-i=z. Thus, solve for z:…

Q: Here is an informal proof that tan¬11 + tan¬|2 + tan¬13 = 7. Explain what is going on. %3D

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Q: vsin ax (02+4)4= sin x is the fun ction with y %3D

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Q: Show that f(2) = (2-1) cos) singue has an essential z + 2 at 2=-2

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Q: Ihow do you bnd the imit of as x approaches 0?

A: The limit of x+1-1x as x approaches to 0