Use Secant method with p0 =1, p2 = 1.2 to find the root of f(x)= Inx - cosx that is accurate to within  ε = 10^-3

Q: of cosx = = sin(x + 4 €) by Perturbation method. Find root over = of cosx =

A: As per the question we are given a perturbed equation as : cos(x) = ε sin(x + 4ε) And we have to…

Q: Use integration by parts to find the indefinite integral.

A: To find the indefinite integral I =∫xsec2x dx By using integration by parts, ∫fg'=fg-∫f'gf = x ,…

Q: A coat of paint of thickness 0.02 cm is to be applied uniformly to the faces of a cube of edge 21…

A: We know that,

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

A:

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

A:

Q: use integration by parts to evaluate sinh x cosh xdx

A:

Q: In estimating cos(3x)dx using Trapezoidal and Simpson's rule with n = 8, we can estimate the error 1…

A:

Q: |Calculate the indefinite integral / sec (0) tan(@)d0 using two different u-substitutions. Explain…

A:

Q: A coat of paint of thickness 0.03 cm is to be applied uniformly to the faces of a cube of edge 29…

A: Let the side length of the cube be S = 29.Side increase on each side = 0.03 cm.Total increase in…

Q: 5. 12 sec² (3x) dx 0.

A: We have to solve

Q: Find the indefinite integral. ∫ sinh x/(1 + sinh2 x) dx

A:

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

A:

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

A: 2cosx3-sinx=14  compute for a real root of equation using fixed point iteration method with an…

Q: Before integrating, how would you rewrite the integrand of S(x* + 2)² dx?

A: To solve: ∫(x4+2)2dx

Q: Only one of these calculations is correct to evaluate the definite integral V sinx dx Using the…

A:

Q: 1. tan 2x dx

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: In estimating cos(3x)dx using Trapezoidal and Simpson's rule with n = 4, we can estimate the error…

A:

Q: Use substitution method to evaluate the definite integral fore dx

A:

Q: In estimating L cos (5x) dx using Trapezoidal and Simpson's rule with n = 8, we can estimate the…

A:

Q: Compute. integral (1) / (square root 1 + x2)3 dx

A:

Q: Consider a rectangular poster that contains 312.5 cm² of printing with a 10 cm margin at the top and…

A: Solution :- let the paper size be x cm in length and y cm in width  The length o the printed space…

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: ( 5tanx sec'x dx .2,

A:

Q: Find the indefinite integral.

A: Use the substitution method and consider x2 as u. Differentiate both sides of u=x2 and substitute x2…

Q: What is the value of integral /tanx dx ?

A:

Q: find the integration of 1/(sinx*√(sin(2x))) .dx

A: Let's find.

Q: From 0-2 sin(x^2) dx using trapezoidal rule with n=4 as well as midpoint rule with n=4

A: Trapezoidal rule=∫02sin2(x)......(1)As we know that accoding to trapezoidal rule…

Q: Find the indefinite integral ∫coshx/sinhx  dx

A:

Q: In estimating | cos(3x)dx using Trapezoidal and Simpson's rule with n = 8, we can estimate the error…

A: We have to find the error in trapezoidal and Simpson rule .

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: Evaluate the integral ∫dx / sinhx.

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Q: Find the indefinite integral. S sinh (1 – 2x) dx

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Q: In estimating cos(5x)dx using Trapezoidal and Simpson's rule with n = 6, we can estimate the error 1…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Use Secant method with p, =1, p, =1.2 to find the root of f(x)= In x-cos x that is accurate to…

A: Consider the given function  f(x)=lnx-cosx with initial estimate  po=1  ,        p1=1.2

Q: Find the indefinite intergral of: Integral cube root of x^2 - (1/x^2) dx

A: Consider the given integral.

Q: Find the indefinite integral for

A: The indefinite integral ∫-sinx+3cos-3xdx ∫(−sin(x)+3cos(3x))dx

Q: sin(2x

A: Given that: ∫sin(2x)dx

Q: Use Trapezoidal rule with 5 subintervals and 8 subintervals to find an approximation of x3V-2x4 +…

A:

Q: calculate the integral.

A: Given integral is We will use the following substitution to evaluate the integral

Q: Evaluate e" dydx by reversing the order of integration. x/3)

A: A detailed solution is given below.

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 the indefinite integral ∫ x2 sech2 x3 dx

A: We have to find indefinite intrgral  ∫x2sech2x3dx We have ∫x2sech2x3dx  Take x3=t⇒3x2dx=dt⇒x2dx=13dt…

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: In estimating : cos(4x)dx using Trapezoidal and Simpson's rule with n = 4, we can estimate the error…

A:

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: Use integration by parts for both.

A: The given integral is

Q: Use Simpson's Rule with n = 4 steps to estimate the integral. 5) dx

A:

Q: Use integration by parts to find the indefinite integral ∫x sec2 x dx

A: Given: ∫x sec2 x dx

Q: In estimating | cos(4x)dx using Trapezoidal 1 and Simpson's rule with n = 6, we can estimate the…

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Q: Find the integral ∫dx / sinhx+2coshx.

A: Given Data The integral is ꭍdx/sinhx+2coshx.   Using the Weierstrass substitution in the given…

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.