Locate relative maximum and relative minimum points on the graph. State whether each relative extremum point is a turning point.

A. Any point (x, 2) is a relative maximum and a relative minimum point on the interval (-3, 7); none of these points are turning points.
B. Any point (x, 2) is a relative maximum and a relative minimum point on the interval (-3, 7); both (-3, 2) and (7, 2) are turning points.
C. (-3, 2) and (7, 2) are relative maxima and minima points; both of these points are turning points
D. (-3, 2) and (7, 2) are relative maxima and minima points; neither of these points are turning points


Answer: A

Mathematics

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Parametric equations and a parameter interval for the motion of a particle in the xy-plane are given. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion.x = 4 cos t, y = 4 sin t, ? ? t ? 2?

A. x2 + y2 = 1

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D. x2 + y2 = 16

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Provide an appropriate response.Given y = f(x) = x3 - 3x2 + 10 on the interval , find the values of x at which absolute maxima and absolute minima occur.

What will be an ideal response?

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The graph of the function y = f(x) is given below. Sketch the graph of y = .

A.

B.

C.

D.

Mathematics