Which of the following is(are) true? (Choose all applicable answer O tanh x ete te O coth x = e-e O sinh z = ete 2. e te O cosh z = 2. O cschx etez O sechx ez tez

Q: Which of the following completes the missing step to the following proof. cos? 0 1- sin 0 = 1+sin 0…

A: We use Trigonometry identities

Q: 14. True or False. 1−tanh’(x)=sinh(x) O a. False. Correct answer is csch²(x) O b. False. Correct…

A: Given trigonometric functions.

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Q: If sinh r 5then tanh a is Select one: a. 15. b. C.

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Q: Show that coshr + sinh r = e" and cosh r - sinhr = e. Hence, deduce M MOUTMOUT cosh? a – sinh? r 1.…

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Q: 5. Assuming that (d/dx) (sin x) = cos x and (d/dx) (cos x) = - sin x, prove each of the following. d…

A: The quotient rule of differentiation states that uv'=u'v-v'uv2. (a) Write cot x=cos xsin x and use…

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Q: If f(s)=sinh(s)^13 cosh(s)^10 , find f'(s)=???

A: We have  f(s)=sinh13(s)*cosh10(s)   We have to find its derivative…

Q: Which of the following is true? A) All for the above ® Ssin°(x\cos*(x)dx = cos (x), cos°(x) cos1(x)…

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Q: Which of the following is correct? 1. cosh?x +sinh²x = 1. II. sinh x cosh y = sinh (x + y) + sinh (x…

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Q: The following is equivalent to the choices below except | (tan (x)+ 1) dx 1 dx cos? (x) sec (x) dx…

A: Please refer the attached image for complete solution. THANK YOU.

Q: Prove the following: a a) L{sin(at)} : b) L{t²} = s2+a² 2 s3

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Q: 3. / sed into something with tanh (r) then let u = sech (r) (Hint: break up into sech (r) sech (x),…

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Q: Prove the following statements: a) sinh (x+ y)= sinh x cosh y+ cosh xsinh y

A: (1) Prove sinhx+y=sinhxcoshy+coshxsinhy Concept used: sinhx=ex-e-x2 coshx=ex+e-x2 Proof: Take LHS…

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A: Given that, The given integration is following, I=∫[sin(lnx7)]2dxx We have to find the equivalent of…

Q: prove the following identy (sect − sin(π/2 − t))(sec(π/2 − t)−sint) = tant − tantsin2 t

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Q: Choose true or false of the following 1- S, x? = 1 2 %3D 3 2- J sin x dx = 2 3- Se* X² dx = xeX + c…

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Q: Which of the following is true about the DE y" + y = tan (x), where A and B are constants? (Choose…

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Q: Which of the following is(are) true? (Choose all applicable answers.) O cosh z = e +e* 2. O coth a e…

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Q: Determine the validity (True or False) of the following statements: Question 6) cos z + - sin x sinh…

A: Solution: The currect given hyperbolic function (formulas) are:

Q: FIND dy/dx for the following Question sin x.cos x 3 y cot x 4. tan x 27) (ans.: )) x(1+ 2 In x) 1+…

A: The given functy43=sinx.cosx1+2.lnx    ....1to find dydx

Q: Show that the function e cosy ti Siny) is an andlytic Runction 2 W= Sin Z Q2. Determine whe ther…

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Q: Which of the following is equivalent to the inteerand of (sin( Inx ' ) -dx? 7cos (In(x7))+…

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Q: Select the definitions of sinhx, tanh a, and sech z. O e +e- e -e-z O e-e e +e-z O e -e e +e- O e +e…

A: The hyperbolic function of sine is expressed as-     sinh x=ex-e-x2 Thus, Option (C) is the correct…

Q: Which of the following is true? ot æ dæ = In | csc x|+ C O D. csc x = cot x ° sin æ da = – In | cos…

A: Here we have to determine which statement is true.  a) ∫cotxdx=ln|cscx|+Cb) Dxcscx=cotxc)…

Q: Use D'Alembert's formula to solve the following (IVP): Utt in R x (0, 0) | u(x, 0) u(x,0) = sin (x)…

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Q: Ifcesese - sin e = t and sece - cos e = m. prove that 1'm? (12+ m? +3) =1

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Q: Let F = 2y ln zi+2x ln zj+2² k. Which of the following(s) is/are applicable to solve F· dr Sc is the…

A: The ways to solve given integral are

Q: Find dx or y' of the following functions and make any a. y = cot(Ve" ) tanh(e") b. Y =…

A: taking ln both side

Q: FIND dy/dx for the following Question sin x.cos x 1+2.In x 3 y cot x (ans.: 4 tan x 2 27) 2 x(1+ 2…

A: Given: y43=sinx cosx1+2ln x   ...(1)To find : dydx=?Formula: sin 2x=2sin x cos xcos 2x =cos2 x-sin2…

Q: Given: y = sinh(ln(cos a)); Find y'. O (E) None of these O tan(x) sinh(In(cos x)) O sinh(ln(cos r))…

A: Given y=sinhlncosx To find y':

Q: On what interval is the identity sin (sin x) = x valid? (A) [0, 2x] (В) (C) [0, x] (D) [-1,1] (E)…

A: Given identity

Q: ind the value of s in the interval [0, t/2] that makes the statement true. Round to four decimal…

A: Given , cos S=0.6784we have to find the values of S in the interval 0,π2⇒cos…

Q: Which of the following equations is equal to 1 @ conh (x) – sinh?(x) ® tanh (x) – sech (x) C) coth…

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Q: Answer the following True or False. 1 COS T dz = ln(cos z) +C

A: Our Aim is to answer whether the value of integral obtained is true or false.Given integral…

Q: Let y = cosh(ina²) then find y'. Oa. sinh (2a.tra) -1 Ob. O b. O c. - sính(Inz²). 2 O d. - sónh(2a.…

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Q: Which of the following is correct? 1. cosh?x+sinh?x = 1 . II. sinh x cosh y = sinh (x + y) + sinh (x…

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Q: Prove the following hyperbolic trig identity. cosh(x + y) = cosh(x) cosh(y) + sinh(x) sinh(y).

A: cosh(x+y)=cosh(x)cosh(y)+sinh(x)sinh(y)

Q: nber 37. It flx) = x? + 10 sin x, show that there is C such that fle) = 1000. %3D a num

A: Short Answer: Yes the values 31 and 32 are specific to this problem only. Explanation: We are given…

Q: 2 To evaluate the integral (384 + 576 sin(t) + 216 sin (t)) dt, we recall the trigonometric…

A: Here we have to integrate the given Integral.

Q: If g(z) = cosh a, then g' (x) = _? . O 2 cosh a sinh 2 O 2r sinh a O 2 cosh z O 2r cosh 2

A: Given : g(x) = coshx²

Q: Evaluate the following integral: ∫(cos⁡?)^5 dx    Pie/2 uppper  0 lower Where: sin(pie/2)=cos(0)=1,…

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Q: (d) Using your answer to part (c) compute h'" (x) where h(æ) = 1/ cos(x) and a is such that cos(æ) #…

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Q: Evaluate. S cos z In(sec z)dz Your Answer: In(sec z) sin - In tan z + sec + sin z + C

A: Please see the answer below.

Q: ди Ans, u = e"(A,er" cosh ax + Bjehar" sinh ax) e ka't cos ax + B,e¯ha" sin ax) -ka’t, u = e"(A;x +…

A: Given PDE is k∂2u∂x2-u=∂u∂t,  k>0          (1) Let the solution be u=XT, where X and T are the…

Q: /hich of the following statements is true? +C (x-5) In(3) B dr=sec-!(x) +C tan²(x) dr =tan(x) – x +…

A: We are going to solve

Q: Compute the indicated quantity using the following data. 15 sin a = where <α<π. 2 3 cos B = - where…

A: We will proceed as follows...