7. Solve tanx csc?x = 2tanx for x, where 0 sx< 2n. Show your work. Round to two decimal places if necessary.

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A: solution of the given problem is below using laplace transformation...

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A: Given:-       To find:- dy/dx

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A: Derivative of the function

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A: We are given with sinhθ=32. We need to find some other trigonometric functions. Use the relation…

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A:

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A: Find the integration of I

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A: Given: a ddxcosh3x2+1b ddxsinhx tanhx

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A:

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A:

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A: We use the well known formula for sinh^-1(x) = ln(x + sqrt(x^2+1)) and then integrate the…

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A:

Q: to determine the approximate value of v(1+x³)dx

A:

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A: we have to find the value of L{sinh(6t)-cosh(t)}

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A:

Q: Find dx when x = 0, if given y = tan¬ (sinh r).

A:

Q: TT sin 5. Approximate dx by Simpson's rule with seventh ordinates?

A: Simpson's Rule:    ∫abf(x)dx=∆x3f(x0)+4f(x1)+2f(x2)+...+2f(xn-2)+4(fn-1)+f(xn) Where, ∆x=b-an We…

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A: Here we have to find solution of given integral

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A:

Q: 4) Given y = 3 sin 2x, Find the Amplitude Interval and Period (x/2, 0) (0, 0) Amplitude interval…

A: Hshshs

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A: Let the given integral be: I=∫sinat dt

Q: Apply Newton's Method to f(x) and initial guess xo to calculate x₁, x2, X3- f(x) = 1 – 5x sin(x), xo…

A:

Q: 3 Estimate the error if S10 (Simpson's rule with n = 10) was used to calculate sin(4 x) dx .

A: I=∫03sin4xdx Integrating it- I=-cos4x403=-cos124+cos04=1-cos124=0.0054

Q: rin 2 cosh x dx. Vsinh? r + 4 sinh r + 2

A:

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A: Just observe that its value of tan(30°).

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A: Given The function is f(x)=cosh x +1 .

Q: at æ = 0 for 12 sin(t)dt.

A:

Q: B) If sinh 0 V3 Find cosh 0, tanh 0, coth 0.

A: Given: sinhθ=32 To find: coshθ, tanhθ, cothθ. Solution: We have identity, cosh2θ-sinh2θ=1 Putting…

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A: Solution is in step 2

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A: The given function is: y=1tan-1x

Q: 6. In(x*y?) %3D х* +уз 7. У- Arccos(e2x)

A: Given In(x3y2)=x2+y3y=cos-1(e2x)we need to find the second derivative of the given equation

Q: xcos( x), sin(x) 8. dx = LHIN

A:

Q: How many times will you perform integration by parts to evaluate sin (Inx) dx? A 4 (B 2 1 3

A:

Q: V3 Find cosh 0, tanh 0, coth 0. 2 B) If sinh 0 =

A: Given that sinhθ=32 We know that cosh2θ-sinh2θ=1 ⇒ cosh2x=sinh2x+1 cosh2θ=322+1=34+1=74 coshθ=72…

Q: d 1+ tanhx - Show that dx V - tanh x

A: To show: ddx1+tanhx1-tanhx4=12ex2 Simplfiying 1+tanhx1-tanhx,…

Q: 3. Evaluate tan¹x² 1+x dx.

A:

Q: Q2]Using Simpsons1/3 rule for evaluation of sinh(e-*) dx use n = 4 andwork to 5 decimal place?

A:

Q: d'y Using method of variation of parameters solve + 4y = 4 tan 2x dx?

A: d2ydx2+4y=4tan2x

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Q: Use the trapezoidal rule with n = 8 to approximate cos(x) -dx Keep at least 2 decimal places…

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Q: Use the trapezoidal rule withn= 4 to approximate cos(x) dx Keep at least 2 decimal places accuracy…

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Q: 2 sin x f(x) = 1+2cosx 5. Pvaluated at x = 1 rad

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Q: ind general solution by separating the v y3 = (y* + 1) cos x %3D dx.

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

Q: sinh x – 1 dx cosh x

A: The given integral,        ∫sinhx-1coshxdx

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A:

Q: S sin Vz dx =

A:

Q: What is the value of the integral S sin(6x) arctan(sin 3x)dx? 2 c) 6 а) 3(т — 2) b) d) 6(т — 2) е) п…

A:

Q: V3 Find cosh 0, tanh 0, coth 0. 2. B) If sinh 0 =

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A: To evaluate the given integral

Q: Consider 3x+ sin x − ex= 0, using Secant Method with initial points X0 = 0 and X1 = 1, calculate the…

A: