Question 13 Evaluate the integral J sinh? (2x)cosh(2x) dc sinh“(2x) +C A sinh(2x) +C B 9 costf(2x) +C costf(2x) D +C 8.

Q: For which values of x are y = sinh x and y = cosh x increasing anddecreasing?

A: Hence, sinh x is increasing for all x.

Q: Question 2 Periodic functions are functions that repeat themselves over the domain. The period of a…

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Q: this is a calculus problem find the dy/dx by implicit differentiation Square root over xy=x7y+58

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Q: Step 3 Now write the derivative in terms of x by recalling that u = -3x + 7 and v = x + 7. du 1 +=…

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Q: int) Approximate cos(4.6) using a quadratic approximation: First note that cos(4.6) cos(3x/2). Let…

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Q: Differentiate y = tanh 2x + coth x A. 2 B. 2 (tanh 2x) C. 2 (sech22x + csch²2x) D. 2 (sech2x –…

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Q: find the general solution of  xdy/dx+4y=(sinx/x)*(sqrt of y)

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Q: -cosh(2x² + 1). Evaluate (A) 4xsinh(2x² + 1) B 2xsinh(2x²+1) C) xsinh(2x2 +1) с D (2x2 + 1)sinh(2x +…

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Q: sinh e/2 dx is equal to e/2 2 cosh e 7/2 + C 2 cosh e"/2 + C O - (sinh e /2) + C 1 O -2 cosh e I/2 +…

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Q: Integral: Evaluate -2 sin 2x xp= V9+ cos² 2x

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Q: Verify the identity sinh x + cosh x = ex

A: To prove the identity

Q: Evaluate

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Q: Find cosh² (t) sinh5 (t) dt.

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Q: Show that cosh (3x) = 4cosh³r - 3 cosh T.

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Q: Exercise(6) Prove that J1/2 = XT sinx 2.

A: Here we have to prove that  J12=2xπsinx

Q: 25+16 x² (2, Sinx 3 + Cos? x xp 2

A: According to the fundamental theorem of calculus ∫f(x)dx=F(x), where dFdx=f(x). The definite…

Q: Solve for 0≤x≤ 10 3xln(sinx) + (sinx)x=4

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Q: sinx

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Q: #4 tan lun sec x dx 4.

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Q: 5s+2 L %3D s2+9) 1 5cost+ sint o 1 5cos9t+–sin9t ,o .b O 5cos3t+sin3t . 5cos3t +3sin2t d o

A: Use the standard formula of inverse laplace transform.

Q: Integrate f(cos x)e*+sin xdx B. e-sinx +C A. -et+sinx + C c. ettsinx + C D. e+sinx C

A: Note:∘ddx(sinx) = cosx ∘ddx(a) = 0                                         where a is constant∘∫etdt…

Q: Use a calculator to compute sinh x and cosh x for x = −3, 0, 5.

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Q: (coshx – sinhx)? dx =

A: To evaluate the given integral.

Q: a) Use suitable sum and difference identities for hyperbolic functions to show that sinh(5x)…

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Q: Evaluate x2 dx Select one: on O(sin (2r- 1) + 2(2 (2ain (r) + sin(2si To (stn(2 1I) 2(2r sin(2sin

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