1) Use the false position method to find a root of the equation x³ = -cos x in the interval [-1, 1] with ɛs 0.0005%

Q: [In(x²)-ex cos(x-1).tan(Tx) 20. lim 2x2-x sin2(1-x) X-1

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Q: 4. Determine the root of F(x) = 7 sin(x)e-x – 1 using secant method with 3 iterations glven Xi-1 =…

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Q: Find the graph of the given function over a​ one-period interval y=-4 tan 1/2x

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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 an upper bound on the error that can result if cos(æ) is approximated by 1– (x/2!) + (x*/4!)…

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Q: 2. Find the root of the function using Fixed-point Iteration. f (x) = x cos (x) - x?

A: Consider the given function as, fx=xcosx-x2

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

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Q: 5) Integrate 2x cos (x²-5) with respect to x.

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Q: -1 We can conclude from the derivative of sin-1(x)and cos-1(x) that sin-(x) + cos¯(x) is constant.…

A: Explanation: find the derivative of sin-1x & cos-1x

Q: 1- , S" cos(x)esin(x)-8y dydx

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: A periodic function is defined in one period as |-sin(폭),-2sx<-1; f(x)={ 1 [x+1, -18x50.

A: In this question, we draw the function in a given domain and find the Fourier series of the…

Q: 1- Prove that cosh 2x - sinh 2x = e2

A: sol)Given cos h 2x-sin h 2x=e2x

Q: 1. Estimate the root of the expression, f (x) = x² – cos x, using: b. False Position Method in the…

A: If the root of a function f(x) lies in the interval [a, b] and f(x) has opposite signs at a and b,…

Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (=) < 0, ƒ (x) has a root in [o,]. If we…

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Q: 1.Find the interval and radius of conv. of ln(1 – x²) ?

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Q: 2. Compute for a real root of 2 cos x- sin Vx 1. 4. accurate to 4 significant figures using…

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Q: 2. Use the Intermediate Value Theorem to show that 2x-3 if – 3 0 has a zero on the interval (-2, ln…

A: Introduction: The intermediate value theorem is an advanced property of a continuous function.…

Q: Determine a root of f(x) = 2* +3 cos(x²)-2 with 10-3 accuracy.

A: Given :f(x)=2x+3cosx2-2

Q: 2. Compute for a real root of sin -x 0 using three iterations of Fixed- Point Iteration Method with…

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Q: Obtain graphically an approximate value of the lowest root of cos x cosh x =- 1.

A: The equation cosxcoshx=-1 regulates the frequency of vibration of a cantilever. We must first…

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

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Q: The derivative of the function y = 9 sin + 22 is. 0 + (In 2") O - (In 2)2= O + (In 2)2" 0로+ (In 2)2"…

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Q: 31. Verify the formulas sinh-x = In |x + Vx² + 1| coshx = In |x +Vx² – 1| (for x > 1)

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Q: 7. Integrate. S tan50 sec³0d0

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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: 3- Find the smallest positive root of x -e*=0, correct to three decimal places, using (method of…

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Q: 7. To evaluate f-cos X-1 dx, the integrand can be transformed to? 1-sin? x

A: Follow the procedure given below.

Q: 4. Determine the root of F(x) = 7 sin(x)e--1 using secant method with 3 iterations given X- = 0.5…

A: f(x) = 7sin(x)e-x - 1The iteration for Secant method is given as: xi+1 = xi - f(xi)(xi-1 -…

Q: Consider the function f(x) = cos x - 3x + 1. Since f (0)ƒ () <0. f(x) has a root [] If we use secant…

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Q: At what points do the local and absolute extreme values of the function (x) = 2 cos x- x^2 occur on…

A: We have to solve given problem:

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

A: In numerical analysis, fixed-point iteration is a method of computing fixed points of a function.…

Q: find maclurin formula in the fourth degree for f(x)=tanx

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Q: 3- Find the smallest positive root of x-e=0, correct to three decimal places, using (method of False…

A: False Position Method : An algorithm for finding roots which retains that prior estimate for which…

Q: Find S(3/(x) + cos7x + 4 + 20) dx None x1.5 sin7x + 4log x + 20

A: Now,  We will find the integration to the given problems.    Integration of cosec2x dx = - cot x +c

Q: ) Use the simple fixed point iteration method to find a root of th cos x with initial guess x, =4…

A: To find a root of the equation x3=-cosx using the simple fixed point iteration method with initial…

Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒf () < 0. f(x) has a root in [0]. If we use…

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Q: Which is the derivative of y= sin In(5x +2)? * 5 cos In(5x + 2) In 5 5Cos In (5x+2) 5x+2 O Option 3…

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Q: Find the indefinite integral. X COS 9TX

A: Given,I=∫ xcos9πx2dxPut…

Q: 1.) Determine the root of the equation by Fixed Point Iteration (Should converge at three decimal…

A: First we write x=g(x) then find convergent point.

Q: cos(9x) -dx COS J 1+ sin²(9x)

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Q: 6. Sketch the graph of the function over one period y=2+ sin(4x). Plot at least three points…

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Q: Find the term representing the fifth harmonic for the periodic function of period 21 given by:…

A: find the term representing the fifth harmonic for the periodic function of period 2π given by…

Q: 7. Find the first 2 iterations for the root of f(x) = x- cosx by the Secant method on [0,1.

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Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (=) < 0, ƒ (x) has a root in [o,]. If we…

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Q: 4. Use Secant method with p =1, p =1.2 to find the root of f(x)= Inx – cosx that is accurate to…

A: Given, fx=ln x-cos x; p0=1; p1=1.2; As it is known that the secant method is given as,…

Q: Compute for a real root of 1 2 cos Vx – sin vx = accurate to 4 | 4 significant figures using…

A: 2cos(33)-sinx=14;   x0=π f(x)=2cos(33)-sinx-14 f(x)=0 ⇒2cos(33)-sinx-14=0 x=cos-11214+sinx3=ϕ(x);…

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

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Q: Show that 1 − cos x = x2/2 with an error less than 0.003 for |x| &lt; 1/2.

A: Given: 1-cos x =x22;    |error|&lt;0.003Formula:  The…