I. Find the root of the equation x'- 4x - 9 -0 between 2 and 3 using the bisection method and Newton's method.(NOTE: For Bisection method use e = 0.001 and for Newton's method use - 0

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Q: he tangent line to y = f(1) at (-3,9) passes through the point (9,-3). Compute the following.

A: The slope of the line passing through the points, (x1,y1) and (x2,y2) is given by .

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

A: Solution :-

Q: Find the slope of the line tangent to the curve x - 3xy + 4x = 2 at x = 1. -5/3 O 2/3 O 1/3 O 4/3

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Q: find a real root of the equation xe^x-2=0 using Newton's method

A: Explanation of the solution is given below...

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

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Q: The approximation of the root of the function f(x) = x³ +x – 2 accurate to 2 %3D - within 10-2 using…

A: We are asked to find the approximation of the root of the function using newton's method.

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: a point on the cor ve y=x² - 2x -3 at which is parallel to Find the tangent line the X-axis

A: Given query is to find the the point where tangent line paray to x axis.

Q: 元 ind the length of the curve x = |/12 sec't-1dt, on-낌ys이 - - The length of the curve x= V12 sec*t-1…

A: the  formula used to find the length of the curve  ds=1+dxdy2                      (1)L=∫ds…

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

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Q: Use Newton’s method to find an approximate solution of xex = 1. Start with x0 = 0 and find x2.

A: Given equation:

Q: Suppose the line y = 2x − 1 is tangent to the curve y = f(x) when x = 4. If Newton's method is…

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Q: · Use Euler's Method to solve the following problem over the interval from x = 0 to 1.0 using a step…

A: from Euler' method: yn+1=yn+hfxn,yn Where, y'=fx,y=2+3xy  0≤x≤1 and y0=1

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: find the roots using newtons raphson. Stop until at 15th iteration or when approximate percent…

A: Given function is f(x)=2x4+13x3+29x2+27x+9            (1) Using Newtons-Raphson method, we have to…

Q: Compute the point of intersection of the curve sinx and x-1 with the help of Bisection method. Ans.…

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

Q: Find the root of x4 - x - 10 = 0, using the Newton-Raphson method correct to three decimal digits.…

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Q: Find the equation of the tangent to the 2(x² + y²)² = 25(x² – %3D - y²) at (3,1)

A: Given : 2x2+y22 = 25x2-y2

Q: Suppose the line y=7x−6 is tangent to the curve y=f(x) when x=3. If Newton's method is used to…

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Q: 6. Find the equation of the tangent line to the parabola y 2.x2 – x + 3 at x = 2. %3D -

A: Equation of given parabola is, y = 2x2 - x + 3

Q: Solve x = cosr for solution exact to 3D by Newton’s method (with xo = 0) and bisection method…

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Q: 3. Find the root of the function x) - sin x +xe between -3 and -4. using Bisection and Newton's…

A: We have to find the root of the function fx=sinx+xex in the interval using the Bisection method. We…

Q: Suppose the line y = 4x − 7 is tangent to the curve y = f(x) when x = 3.        If Newton's method…

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Q: The first approximation P, of the solution to the equation f(z) = 2 -7 that is near to Po = 3 using…

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Q: - Find the root/s using 1) Fixed-point Iteration and 2) Newton's Method b. f(x) = e-*(x² –- 5x + 2)

A: As per bartleby guidelines, for more than one question only 1st one is to be answered. Please upload…

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 Newton's method to approximate a root of the equation 5x³ + 2x + 2 = 0 as follows. Let x1 = -1…

A: Newton’s Method: If xn is an approximation a solution of f(x)=0 and if f′(xn)≠0, then the next…

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: If y-mx+B is thế équation of the tangent line to the curve X +2xy – y+ x = 39 at x=5 with a negative…

A: At x=5 we find y The points are (5, 1) and (5, 9)

Q: 4. Find the smallest positive root of the equation a-r-10 = 0 using Newton Raphson method correct to…

A: Let fx=x4-x-10 ⇒f'x=4x3-1 Now f1=-10<0, f2=4>0 As f1f2<0 So,  by Intermediate value theorem…

Q: Find a root of a equation f(x) = 2x³ - 2x - 5 Using secant bisection method when the initial…

A: Given : 2x3-2x-5=0Let  f(x)=2x3-2x-5

Q: Suppose the line y= 7x - 1 is tangent to the curve y= f(x) when x = -8. If Newton's method is used…

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Q: use Euler's method to obtain an approximation to four decimal places of the indicated value by first…

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Q: 1. Find the roots of the cubic equation x– 2x -5 0 correct to 2 decimal points using Newton-Raphson…

A: Topic:- calculus and application of derivatives

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…

Q: Find the root of x-x-10 = 0, using the Newton-Raphson method correct to three decimal digits. Take…

A: Given equation is x4-x-10=0 over the interval 0,2.  To find: Root of the given equation using…