Use Newton's method to approximate the indicated root of the equation correct to six decimal places. The root of x* – 2x3 + 4x² – 9 = 0 in the interval [1, 2] X =

Q: Let x⁷ + 4=0, x1=-1.  Use newton's method to find x3.

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Q: Solve the equation tan 3x = √3/3  on the interval [0, 2π).

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Q: Determine the two roots of sin x + 3cosx - 2 = 0 that lie in the interval (-2, 2). Use the secant…

A: Method by solving trigonometric equation

Q: Calculate the number of real roots for f(x) = 13x' + 2x² + 8x using Rolle's Theorem. (Give your…

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Q: 3- Solve for x+4|>2|x−1| 4- For the function y=sinx, shift the function by units to the left and…

A: ### Problem 3: Solve for  |x+4| > 2|x-1| To solve the inequality  |x+4| > 2|x-1| , we need to…

Q: Newton's method applied to find the root of the function f(x) = x³ – 4x + 2 with X1 = 1.0 gives for…

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Q: 2 sinx + square root of 3 =0

A: Solve the equation for sinx.

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.