Q#2 (a): Find root of the equation 3x + sinx – e* = 0 by secant method correct to six decimal Places and verify your result.

Q: Find the root of equation Cosx- 2x =0 near to 1 using iteration method correct to 2 decimal places.

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Q: 3.Using simple fixed-point iteration, determine the root of the equation f(x)= sin (Vx)–. X, = 0.5…

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Q: Q3. Find the root of equation Cosx-2x = 0 near to 1 using iteration method correct to 2 decimal…

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Q: Compute for a real root of sin Vx – x = 0 using three iterations of Fixed-Point Iteration Method…

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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: Kim throws a ball against a wall at time t = 0. At time t = 1, it hits the wall and then at time t =…

A: The objective here is to check whether Mean Value Theorem can be applied to show that at some point…

Q: Q1. Use Newton-Raphson method to locate the first positive root of f(x) = tanx - 2tanhx = 0

A: In Newton-Raphson method  x0 is the initial solution of f(x) then further solutions are obtained…

Q: Explain why Newton’s method fails when applied to theequation 3√x  =0 with any initial approximation…

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

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Q: tan20 sec2ede In 2 edx 3. 1. (a² + a²tan²0)² 2ex- 1 x'dx dx x- 1 2. 4. (1+ x2)3

A: As per our policy, only the first three subdivisions will be solved. For the remaining subdivision,…

Q: Ssin(2x+3)dx= d -1 cos(2.x+ 3)+C 2 a 5 cos(2.x + 3)+C -1 cos(2x+3)+C - cos(2x+3)+ C e cos(2x +3)+ C

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Q: Find the smallest positive root of the equation x-x-10 = 0 using Newton Raphson method correct to…

A: The equation is x4-x-10=0. That is, fx=x4-x-10. Find the value of f1 and f2.…

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: (5tan28 etan 28 sec² 2 Bd B

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Q: Use the simple iteration method to determine the root of Equation f (x) = x² + 10 cos x = 0 at…

A: Given equation:  f(x)=x2+10 cos⁡ x = 0, at distances (0, 1). f(0) = 0 + 10 cos 0 = 10 f(1) = 1 + 10…

Q: Q No 4) Integrate S cosec³xdx . AND also Find F sin10xdx

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

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Q: Find a root of an equation f(x) = cos(x) - − using Newton Raphson method

A: Let us start solving the problem step by step  Given  Cos(x)-(x/6)=0 Let f(x)= cos(x)-(x/6) We will…

Q: What is the positive root of the equation 6-z –1 = 0? Given xo = 1, x1 = 2. and Arn <0.0001 using…

A: The formula for the Secant method is x2 = x0-f(x0)×x1-x0f(x1)-f(x0)

Q: An object hangs from a string in a stable position and is represented by the function y = 4 sin (3x)…

A: NOTE:Use the form y= asin(bx−c)+d to find the variables used to find the amplitude, period, phase…

Q: 3. f(x,y) tanx - sec²x - cosy

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Q: a 5. Using integration by parts twice, prove that the L (sin ax) %3D s2+ a=

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Q: Compute for a real root of 2 cos T – sin T = accurate to rignificant figures using Fixed-Point…

A: The following steps are used to find the numerical solution of the equation fx=0 by the fixed point…

Q: One side of a right triangle is 150 m long and its adjacent angle is t/3 radians, with t/60 radians…

A: Use derivative

Q: 1+ tanx y = logy 1- tanx prove that 9 = sec2x dy dx

A: Given,           y=log1+tanx1-tanx

Q: logtan nx(2+ 4 cos nx) 2

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Q: Q2. Solve x = cosx for solution exact to 3D by Newton's method (with xo = 0) and bisection method…

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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: Find a real root for x tan x+1 = 0 using Newton Raphson method.

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Q: Example 2.30. Find the positive root of x- - x = 10 correct to three decimal places, using…

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Q: Apply Newton-Raphson method to determine a root of the equation cosx- xe^x correct to three decimal…

A: Let us consider an eqaution f(x)=0 with the initial point x0 to determine the roots of the equation…

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: Compute for a real root of sin Va – x = 0 using three iterations of Fixed-Point Iteration Method…

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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: . 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: 2. Use the substitution technique to find [*5'sin(5¹) dt exactly (not an approximation).

A: The given integral is ∫015tsin5tdt use the formulas, ddtat=atln(a)∫sint dt=-cost+C

Q: -1 | tan *xdx

A: The given integral,       ∫tan-1x dx

Q: Example Let sinh(2)e f(2) Find the residue at z = 0.

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Q: The approximation of the root x* of the function f(x) = -x + sinx-1 accurate to within 10-3 using…

A: Needs 2 iterations

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: Find fif f'(0) = 2 sin 0-sec²0

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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: 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. Find the linear approximation to y = sinh (3x) at x=2. State your answer in both exact form and…

A: Find the linear approximation of f(x) at a point x=2

Q: Ssin(3x) sin(7x) dx

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Q: =sec (Xty)

A: dydx=secx+y  Let v=x+y  1+dydx=dvdx  dydx=dvdx-1  dvdx-1=secv dvdx=secv+1 dvsecv+1=dx

Q: 6) csch-1x = In Vx2+1 (+ sinh-11 %3D |x|

A: 6. First  we will find relation between csch-1x and sinh-11x. From Hyperbolic trigonometric…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.