Q1: By the Bisection method find the first positive root for * f(x) = x Inx – 0.5 , e=0.002 |-

Q: Find the root of x² – e²* = 0 using: a. Bisection method between [0, 1] b. Simple Fixed-Point…

A: a) Bisection Method:-- Approximate root of the equation using Bisection method is 0.56714…

Q: Find the root of x² – e2* = 0 using: a. Bisection method between [0, 1] b. Simple Fixed-Point…

A: Given is the function f(x)=x2-e-2x The objective is to find the root using bisection method and…

Q: Find the smallest positive root by using the bisection method Ax) = 2x-x with Residual error e<0.01

A: The given function is,f(x)=2x5-x3

Q: Find the area under the curve 4x²-3x+6 between x = -2 and x=3

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Q: 10. Find the area between y = 3x²+14 and y = 4x + 2 over the interval [-2 , 2]

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Q: Estimate the area between the x-axis and the graph of f(x) = 9 – x² over the interval [-1, 2] by…

A: Clearly the given integral can be approximated by the areas of the given triangles.

Q: Find the area beneath the curve g(x) = 8x + 3x2 from x = 5 to x = 6

A: Given function is,

Q: Q4. Find the area between curve y = x - 3x + 2 and x-axis from x =0 to x 2

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Q: Find the area under the curve y = - over the interval [4, 9]. (4x + 2)² Enter the exact answer. area…

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Q: Sketch the graph of the functions y=3x² and y= e* to find an approximation xo for the x- coordinate…

A: !st we will estimate an interval where root will lie from graph, then will use bisection method to…

Q: 6. Find the area between the curve y = x(x - 3) and the ordinates x = 0 andx = 5.

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Q: Find the area of the region between the curve and the x-axis. In 4 3x f(x) = e - 4 from 0 to 3

A: By using area formula, we calculate the required area of the region.

Q: 1. Estimate the root of the expression, f (x) = 8 – 4.5(x – sin x), using Bisection Method in the…

A: The equation in form f(x)=0 is called a transcendental equation. If the function is continuous on…

Q: Find the area between the curves f(x) = −x² + 4x and g(x) = x² - 6x + 8.

A: Basic identities of integration are used

Q: Use a second Taylor polynomial at x = 0 to estimate the areaunder the curve y = ln(1 + x^2) from x =…

A: Given that, y=ln1+x2 To estimate the area under the curve from x=0 to x=12, use the second Taylor…

Q: 4. Find the area bounded by the curve a²y = x³, the x - axis, and the line x = 2a. Solve in two…

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Q: Use the Midpoint Rule with n = 3 to approximate the integral 6.

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Q: 1. Find the area between the curves x2-y = 9 and the line y 2x-6

A: Since you have posted multiple questions in this question which are not interlinked so I do only…

Q: b) Find the area between the 2 curves f(x)=x²+4-4x and x-axes and border with the two lines = 5 &x=…

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Q: find the total area between the curve g(x)=x^3 + 2x^2 -x-2 and the x-axis, from x=0 to x=2

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Q: Find the area between the curve y = x² + 12x + 27 and the x-axis from x = -3 to x = -1.

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Q: 4. Use Bisection Method to find an approximation to V3-1 correct to within 10-2 (use an appropriate…

A: To find the approximation of 13-1. To use bisection method we write the given relation in the…

Q: Find the area bounded by the loop of the curve y² = 4x²-x*

A: The given equation of the curve is: This can also be written as: The graph of this curve is:

Q: Find the area between the curve y=2x+4x-6 and the x-axis from x =-2 to x= 3.

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Q: Find the area between the curve y = x2 + 10x + 16 and the x-axis from x = −2 to x = 1.

A: We have limits of curve from x=-2 to x=1

Q: 4. Find the area between the functions below f(x) = 10x + 1 and above g(x) = ex. Use Newton's…

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Q: Find the area under the curve f(x) =x+3x+7, above the X axis from x=4 to x=6.

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Q: Given f(x) = sin x + cos(1 + x^2) − 1 in a Bisection Method with initial estimates of 1.5 and  2.5,…

A: Here I run a python script to calculate that value. You can easily print intermediate steps in that…

Q: 2. Find the total area under the curve f(x) = 2xe² from x = 0 and x = 5.

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Q: The area between the curve y = = and the x-axis from x = 10 to x = 20 is the same as the area…

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Q: Find the area between the curve ​f(x)=x^2​+15 and the​ x-axis from x=3 to x=5.

A: Given query is to find the area under the curve.

Q: Use/Bisection]Method to find the root of f(x)= x' - x e– 2 = 0, that lies in the interval (2,3) for…

A: The bisection method performs iterations on the midpoint of an interval to approximate the root of…

Q: Find the area between the functions below f(x) = 10x + 1 and above g(x) = ex. Use Newton's algorithm…

A: to find the intersection point, compare both functions take derivative

Q: ii, Find the area under the graph y=5x4 between the limits x= 1 and x-3.

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Q: Compute numerically the first real positive root of the following function using bisection method.…

A: Given,  The function is given by,  X + e-2X-1 = 0 The bisection method is used to find a roots of…

Q: Suppose a definite integral has lower and upper bounds as follows. 8.009 f(x)dx < 8.012 If the…

A: We will find approximate value of integral and then find maximum difference between approximate…

Q: Estimate the area between the x-axis and the graph of f(x) = 9 – x² over the interval [– 1, 2] by…

A: Given the graph of the function :

Q: 3) f(x) = 2x + 5, on the interval [–1,4]. Use RRAM and five sub-intervals to approximate the area…

A: Note:  According to the guidelines issued by the company we should answer only one question, please…

Q: 1. Find the area between the curves x2-y 9 and the line y 2x-6 %3D

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Q: Find the area under the curve 4x2-3x+6 between x= -2 and x=3

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Q: 2 Find the area between the curves y= 2x +6x+1 and y =-x +3x+7 over the interval [-4,10]. Draw the…

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Q: 4. Use the bisection method to approximate the root of f(x) = 2x² [0, 1]. Let € = 0.1 be the margin…

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Q: Q7. Using Simpson's Rule evaluate the integral (√x+1) dx using 8 subintervals.

A: In this question,  we have to evaluate the integral ∫08x+1dx using 8 subintervals by Simpson's Rule.

Q: Use the bisection method to approximate the root of f(x)=2x²-1 in the interval [0, 1]. Let E= 0.1 be…

A: Bisection method is one method used to find the approximate root of a function within a specified…

Q: 5. Use the bisection method to find an approximation to ve -8 correct to within ɛ = 0.05. (Hint:…

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Q: 2. Determine if the integral converges or diverges. Part of your grade on this problem depends on…

A: Topic:- integration

Q: Find the area between the curves f(x) = x^2 - 4x +12 and g(x) = x^2 - 2x + 2  for 0 ≤ x ≤ 3

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Q: Find the area bounded by the curve f(x) = x³ + 3x² – 4x – 5 and x-axis from x = -3 to x = -1 using:…

A: Consider the given area bounded by the curves as y=x3+3x2-4x-5 and the x axis from x=-3 to x=-1. Let…