using mple Iterati1on method, nnd one root of the following equation: 1 d- sin x = use (3D) (r2-Inx )3

Q: with the intial conditions of x(0)=5 and x'(0)=3 solve the equaltion of x''+3x=0 using the equation…

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Q: Use Taylor’s formula to find a quadratic approximation of ƒ(x, y) = ex sin y at the origin. Estimate…

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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: 1. Find a real root of the equation x³ – 18 = 0, correct to three decimal places by using Bisection…

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Q: Find the maximum possible error in the computed value of the hyperbolic sine function, sinhx = at…

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Q: Use regular falsi method to find the root nearest the origin. Take fc=0.0000### [Use 6 decimal…

A: If y=f(x), then the independent variable x is called the input of the function, and the dependent…

Q: Q2: Find a root of x - 0.5 – 2-2x = 0 by using Newton-Raphson method correct to 4 decimals so that…

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Q: f(x) Vx+1

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

A: # we are entitled to solve 1 question at a time ,please resubmit the other question if you wish to…

Q: Q18 *: If sinhx 3. then x = 4. In 2 %3D True False

A: Given: If sinhx=34 then x=ln2

Q: Find the root of the equation correct to 5 decimal places, using Newton-Raphson method with initial…

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Q: integrate sqrt(9* sin^2 (4theta*t) - 1) dt

A: we need to find ∫9sin2(4θt)-1dt Let us take  u=4θt⇒dudt= 4θ⇒dt=du4θ

Q: Approximate the positive root of the equation x – sinx-1=0 , by performing five iterations of the…

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Q: Find the smallest positive root by using the bisection method f (x) = 4 cos(2x)–x' +5 with 3 decimal…

A: We are given : f(x)=4 cos(2x)-x3+5=0 f(1)=2.335=Positivef(2)=-5.614=Negative  the Initial Interval…

Q: Q2. Find a root of the equation sin x + x cos x = 0 using secant and Newton-Raphson method. Compare…

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Q: Determine the real root of f(x)=5x3-2x2+3x-1. Iterate until the estimated error falls equal to or…

A: Given that:f(x)=5x3-2x2+3x-1

Q: 1. Find the approximate root of the equation using the Secant method correct to three (3) decimal…

A: Note:- As per our guidelines, we'll answer the first part of this problem as both the part have…

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: Find one root of the equation below f(x) = cosx – x %3D using HIM and SECANT method of x = 0 and x =…

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

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Q: Determine the roots of f(x) = sin(vx) – x, where x is in radians. Solve it using Bisection - Method.…

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Q: Use Newton - Raphson method with value of x0 = 0.2 to find the real root for the function: f(x) =…

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Q: Find the smallest positive root by using the bisection method f(x) = 4 cos(2.x) –-x' +5 with 3…

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Q: Q1 Approximate the positive root of the equation r-sinx-1=0 , by performing five iterations of the…

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Q: Find cosh² (t) sinh5 (t) dt.

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Q: Find the approximate root of the equation given below using the Secant method correct to three (3)…

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Q: Simplify (if necessary) then Compute: y" +y' for [6(cosh2x- sinh2x)] d -3x2 dx a2 y(z) = [; (z²x+…

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Q: Use the method of Successive Approximation to find a real root of e^x – x^2 = 0 correct to four…

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Q: Q1 Approximate the positive root of the equation x – sinx-1=0 , by performing five iterations of the…

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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: I Pind the root of the function byusing Newton- Raphson method) with Xo1,where fcx> = x²_5x +6

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

Q: Find a root of (x) = x' - " , by Newton's method, within the accuracy of 0.1.

A: Consider the given function, fx=x3-e-xf'x=ddxx3-e-x=3x2-e-x-1=3x2+e-x   Apply the Newton's method,…

Q: Use Newton's method to approximate a root of the equation 4 sin(x) = x as follows. Let x₁ = 2 be the…

A: answer is in next step

Q: 2. Apply Newton's Method to determine a real root of the equation f(x)=2x+24x+61x²-16x+1=0, for…

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Q: 02. Solve the DE. y" = x*sinx 1. by using inverse operator method. 2. by using variation of…

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Q: Apply Newton's Method using the given initial guess. (If an answer does not exist, enter DNE.) y =…

A: The given function is y=2x3-6x2+6x-1, x1=1 find the derivative of y  y'=6x2-12x+6, x1=1

Q: Determine the root of following equation after 2 iterations by secant method use po = 0.5, p1 = las…

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Q: Find the root of the cubic equation 4x3 + 3x2 – 8x – 2 = 0 in the domain [ 1 , 2 ] using numerical…

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Q: Find the root of the cubic equation 4x3 + 3x2 – 8x – 2 = 0 in the domain [ 1 , 2 ] using numerical…

A: According to the fundamental theorem of algebra, every algebraic equation has a root. If the…

Q: Use the Newton-Raphson method to find the root of f(x) = lnx+x in the interval [0.5,1] with an…

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Q: a. e¯* – 3logx = 0 ||

A: Consider the given function as, fx=e-x-3logx Let root lie between 1 and 2 First find f1 and f2…

Q: Use Secant method with p0 =1, p2 = 1.2 to find the root of f(x)= Inx - cosx that is accurate to…

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Q: f sin-¹(x) dx

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Q: Approximate the root of g(x) = 2 + x – eª between 1 and 2 to within 0.05 of the exact value using…

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Q: Q/ Find to the following functions: dx 1- sinh (x² + 7x + 12) 2- cosh²(17 – 4x²)

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Q: find the roots of the equation x*cos(x) = -1 In[-2,4] using bisection method with error = or less…

A: For the solution of the problem follow the next step.

Q: Find the approximate root of the equation given below using the Secant method correct to three (3)…

A: Given: Using the Secant method, find the approximate root of the equation below to three (3) decimal…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.