CONTINUITY ON AN INTERVAL General Direction: Handwritten solution is a must. Kindly indicate all the necessary solutions. I. Given: if x < -1 if – 1

Q: F(x) =: (3, 7), [-6, 4), (-∞, 0), (-5, +∞), [-5, +∞), [10, -5) %3D x+5 E F(x) =: (0, 1), (-1, 1),…

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Q: Find the values of x for which the function is continuous. (Enter your answer using interval…

A: The function is given as fx=4-x      if x&lt;3 2x-5    if x≥3 find values of x for which the…

Q: Given the following piecewise function, demonstrate how to determine if f(x) is continuous on the…

A: determine if f(x) is continuous on the interval (-6, 6).

Q: G(x)= x³ +3x+2 x+2 [[x]] + 1 -1-x-21 - 4 x+3 + 1 x-r if x<-1 if -1 ≤ x 1 if xz1

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Q: Given that L{f(t)} s+8 find the Laplace transform of the function g(t) = (e")° f(t). Select one: O…

A: One of the most important and useful integral transformations is the Laplace transformation. The…

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A: Domain  set of all input values where function defined

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Q: x+k , if x<2 x² +4 , if x22 For what value of k is the function y = < continuous? k =

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Q: 3. Find all solutions to x² + 5 = 0 (mod 245).

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Q: Determine the continuity of the function at the given points. f(x) = [1, x-2, for x=1 at x = 1 and x…

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Q: G(x): x³+3x+2 x+2 [[_x_]] + 1 -12-X1 - x+3 + 1 x-r if x < -1 if -1 ≤ x 1 if xz1

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Q: 39-40. Intervals of continuity Complete the following steps for each function. a. Use the continuity…

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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.