Use the False Rule method to find a solution for the function sin (r) = x ^2 - 1. With an accuracy of 1 x ^ 10-5

Q: Integrate sin^2(7x)-cos(x)

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Q: Estimate the root of 2 cosh x sin x 1, using the secant method, with an accuracy of 4dp. Take 0.4…

A: Image is attached with detailed solution.

Q: A) By using simple Iterative method, find one root of the equation sin x = Use 3D. %3D (x2- In x)3

A: We have sinx=1x2-lnx3 Now, if we need to find a solution of fx=0 then we write fx=0 in the form x=gx…

Q: find integral of sin-4x

A: Given: -

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Q: Locate the approximate root of cos(x) – xe* = 0 using fixed point method, stop with the iteration if…

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Q: 3.§ sin* 2 x sin 4 xdx

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Q: Verify Eq. (2): cosh2 x - sinh2 x = l.

A: To verify Eq. (2): cosh2 x - sinh2 x = l.

Q: Describe the method used to integrate sin3 x.

A: Given I = ∫sin3x dxTo integrate sin3x , substitute sin3x  = sinx . sin2xor sin3x = sinx . sin2x =…

Q: Find the root of the function using Fixed-point Iteration. f (x) - x cos (x) - x?

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

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Q: The derivative of sec2 2x(cos2x−sin2x) with respect to x is

A: Given: f(x)=sec2 2x(cos2x−sin2x)   Simplify the function before finding the derivative: By  the…

Q: Use Newton Raphson method to obtain a root to 3 decimal places :  sinx=1-x

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Q: If f(x)=4x(sinx+cosx), f′(x). f′(x) =   Evaluate the derivative at x=5. Enter an approximation,…

A: Given,         fx=4xsinx+cosx

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

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Q: 12 x+6x?+3x 4. f(x) = 3x

A: We have to find

Q: evaluate the definite integral from [0,pi] [(sinx)2(cosx)4]

A: To integrate the definite integral

Q: Solve for 0 <x< 2n. 4sin'x - sinx = 0 %3D

A: Solution of trigonometric equation

Q: Find the slope of the tangent line to the sine function at the origin, (a) y = sin(4x) 15 y'(0) = 4…

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Q: Integrate Sin (1-2 In v)

A: The detailed solution is given below Thank you

Q: cos“ xsin xdx X sin

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Q: Find a root of f (x) = 3x + sin(x) – ex = 0. Use 6 iterations to find the approximate value of x.

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Q: ∞ sin2x dx (x²+1)²

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Q: f(x)%3 sin-Vx-1

A: Our Aim is to find the derivative of f(x)=sin-1x-1 -(i)

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

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Q: Use Secant method to find the root ofthe function:f(x) = 3x + sin x- e to 5 decimal places. Work…

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

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Q: 3 dx V16-x²

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Q: Solve for the value(s) of x over the interval 0 < x< 360 sin(2) = - V3

A: values=?

Q: Find the root of the equation using any bracketing method: f(x) = x2 – sin x - 0.5 with an upper…

A: Bisection Method:This is one of the simplest and reliable iterative methods for the solution of…

Q: sinh4x cosh 4x dx can best be evaluated by General Power Formula. A True False

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Q: Estimate the error if P3(x) =x- is used to estimate the value of sin x at x= 0.4.

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Q: Find the linear approximation for f(x)=sin2x at x=5π6 and use it to approximate sin2(147∘). Round…

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Q: Differentiate with respect to x. Y=sin5x

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Q: 2. Use the process of implicit differentiation to find given that sin(4x) + sin(2y) =

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Q: sinx(tan(x/2))-sinx=0

A: sin x tanx2-sin x=0

Q: 1 sinh x cosh3 x √9-cosh² x dx

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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: By using siMPSon method find Sinx da for 3(0,25)

A: Given integral is, ∫01sinxxdx With the step value of 0.25. By substituting the step length the value…

Q: Find the root of the equation Cosx-x' = 0 near to 0.5 using Newton-Raphson method correct up to 3…

A: To determine the root of an equation using Newton-Raphson method, first choose an initial value x0…

Q: S sin4xVcos4x + 1dx

A: Let u=cos(4x)+1 Then du=(cos(4x)+1)′dx=−4sin(4x)dx  and we have that sin(4x)dx=−du4

Q: Evaluate sin (4x) cos -2(4x) dx. | sin (4x) cos -2(4x) dx = O

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Q: sin 프)" 2. 4.

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Q: Use a linear approximation to estimate sin 29°

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Q: Find a root of  x- sin(x) - (1/2)= 0 correct to four decimal places by Secant Method

A: The given function is: x-sinx-12=0 Let, fx=x-sinx-12 Here, f0=-0.5f1=-0.3415f2=0.5907

Q: 12. f(x) = ( cosx 1+sinx)

A: f(x)= (cosx/ 1+sinx)2

Q: find integral tan 6 x sec  4 x dx

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Q: Determine the equation of the tangent line to the curve f(x) = sin4x – cos²x at x = Show all your…

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