Find the possible values of cosh x that satisfies sinh²x – 3 cosh x + 3 = 0

Q: Find the indefinite integral ∫sin 5x sin 4x dx

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Q: (b) Prove that : - 1) (coshx)2 – (sinhx)2 = 1 ,2) coshx- sinhx = e-*, 3) (cothx)? -1= (cschx)?

A: Given that  The following

Q: Use the definitions of cosh x and sinh x to show that cosh2 x - sinh2 x = 1.

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Q: 3.§ sin* 2 x sin 4 xdx

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Q: Evaluate the integral. sin 4x cos 9x dx |sin 4x cos 9x dx =

A: topic - indefinite integral

Q: By using the definition of hyperbolic functions, show that sinh x = 1 (cosh 2x – 1). -

A: Given,         sinh2x=12cosh2x-1

Q: the integral of sin5(2x)cos4(2x)dx

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Q: Integrate |sin2x cos 3xdx

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Q: One solution of a 2nd order homogenous LDE is e2*sinx. What is its general solution?

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Q: aie of sin(4x)+8 cos(x)+2x2 cos(4x)+8x sin(4x)+.

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Q: Sin x3D%=

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Q: (b) Prove that 1+ cosh x + cosh 2x coth x sinh x + sinh 2x 1+ cosh 2x + cosh 4x dx Hence evaluate…

A: 4b. Given,

Q: Integrate Sin (1-2 In v)

A: The detailed solution is given below Thank you

Q: 8. S sin 2x sin4xdx

A: put 2x=u so that dx=1/2 du.and solve the question.

Q: 4. Show that sinx can be approximated by x-x³/6 within 0.01 on the interval [-1,1].

A: see my solution

Q: If f(x) Files = Time left 0:5 sin²x and g(x) = 1 + cos²x, how are f'(x) and g'(x) related? Maximum…

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Q: 9 coshx - 5 sinhx = 15

A: Note the following result : cosh x=ex+e-x2  sinh x=ex-e-x2 . In above formula , x∈ℝ . To solve the…

Q: (b) Prove that : - 1) (coshx)² – (sinhx)² = 1

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Q: /2 Evaluate sin 20 de sin20 x+ cos x 20

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Q: Expand fix)= Sin(x+ TT),O<X< I ina half range sine series

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Q: : Find value of x if :- 2 sinh (2x) - 4 cosh (2x) = - 4

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Q: Use false position method to find the root of f(x) = e* (3.2 sin x - 0.5 cos x) on the interval…

A: We need to find the root of fx=e-x3.2 sin x-0.5 cos x The given interval is 3,4 Also, we are…

Q: Compute coshx and tanhx, assuming that sinhx = 0.8.

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Q: If xy-In(3 sinh(3x)) , then x? y'-

A: Given,           xy=ln3sinh3x

Q: Compute for a real root of 2 cos √x - sin √x = 4 accurate to 4 significant figures using Fixed-Point…

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Q: Use the definitions of cosh x and sinh x to show that cosh2 x - sinh2x = 1.

A: To show that cosh2x - sinh2x =1.

Q: Use the addition formulas to provesinh(2x) = 2 cosh x sinh xcosh(2x) = cosh2 x + sinh2 x

A: Our Aim is to prove the following identities:-(a) sin h(2x)=2 cosh (x) sinh (x)Proof⇒Since, sinh…

Q: Find the indefinite integral  ∫sin3 3x dx

A: Given: ∫sin33xdx

Q: Verify the identity. sinh2 x = (−1 + cosh 2x) /2

A:

Q: Verify the identity cosh 2x = cosh2 x + sinh2 x

A: we have to verify the identity: cosh(2x)=cosh2x+sinh2x   L.H.S: cosh2x as we know that coshx=ex+e-x2…

Q: Use Newton's method to estimate the solution to sin(theta) = 1- theta/2 up to four iterations.

A: Given function is: f(θ)=sinθ+θ2-1 Rewriting function in other variable: f(x)=sin x+x2-1 Newton…

Q: sin 3xdx Evaluate: S 4+cos?3x

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Q: 2. Solve 3shn-sinx-2= over the interval [0,27). 2 sın'x-sinx-|:0

A: The objective is to solve the above expression.

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

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Q: | sinh54x cosh 4x dx can best be evaluated by General Power Formula. A True В False

A: The given integral is ∫sinh54xcosh4x dx. We have to check whether the given integral can be…

Q: . Compute for a real root of 2 cos VI – sin Va = + accurate to 4 significant figures using…

A: Given equation is 2cos x3 - sinx =14 And, initial guess:- x0 =π Also, 2cos x3 - sinx =14⇒ x  = cos-1…

Q: sin $3xcos 3x dx

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Q: Use the hyperbolic identity cosh(2x)= 2 cosh2 (x)-1 to solve 4 cosh(2x)– 22 cosh(x)+ 19 = 0 .

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Q: solve \int (sin^(5)x)/(cos^(2)x)dx

A: We evaluate  \int (sin^(5)x)/(cos^(2)x)dx

Q: of sin (4) sin³2 x sin 2x dx

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Q: Prove that: sinhx + coshx = e* %3D

A: we have  sinh(x)=ex-e-x2cosh(x)=ex+e-x2

Q: Explain graphically why there is no solution to cosh x = sinh x

A: cosh x = sinh x. We need to explain graphically why there is no solution to the given equation.

Q: 1. Use the fact that coshx = (e* + e) and sinhx = 1 NIH (ex - e-*) to solve for 1 coshx+ sinhx dx

A: ∫exdx=ex+c

Q: sinh 2x cosh 3xdx.

A:

Q: Find sine half range for f(x) = \cos xl for -1<x<1 COSX for 7 < x < 0. f(x) for 0<x< 7. COSX

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Q: 4 dx 1– cos(4x)

A: Given that the integral ∫4 dx1 - cos 4x. Evaluate the given integral.           The formula used are…

Q: Prove the identity (cosh x + sinh x) n  = cosh n  x + sinh nx

A: Consider the given L.H.S of the given identity coshx+sinhhxn

Q: Evaluate 1) S sin ³x cos³x dx

A: Given: ∫sin3(x)cos3(x) dx

Q: Q3: Find 1. cosh(5x)+ sinh(5x) 2. (sinhx+ coshx)*

A: Given,