Sketch the graph of the following function.   Find . dy/dx and d^2y/dx^2 Draw number lines showing where curve is rising, falling, concave up and concave down.  Sketch the curve showing all relative maximum, relative minimum and inflection points.  y=-x^4/2+2x^3-8

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A: 1) The data in the table below to fill in the graph

Q: Please solve the curve sketching Equation including the table, Domain, Intercepts, Symmetry,…

A: To find the solutions following questions

Q: Graph the curves y = x1/3(x - 4)

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Q: the order of subtraction of functions matter when measuring distance between curves True or False

A: True or False The order of subtraction of functions matter when measuring distance between curves

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Q: Find the number of stationary points for the graph of y=1/2x^4−2x^3−4x^2+11.

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Q: y = 6(x)' + 6

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Q: I need to graph the function x=4^x

A: We have to draw the graph of the given function

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.