Provide an appropriate response.The function f(x) = is zero at x = 0 and x = 1 and differentiable on (0, 1), but its derivative on (0,1) is never zero. Does this example contradict Rolle's Theorem?

What will be an ideal response?


This example does not contradict Rolle's Theorem because the function f is not continuous on the closed interval [0, 1]. In particular, f is not continuous at the right end point x = 1.

Mathematics

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Solve. - 3 = 0

A.
B. 9
C.
D. 3

Mathematics

Provide an appropriate response.Which one of the following is a description of the graph of the solution set for the system below?16x2 + 25y2 < 400y < -4

A. Outside the ellipse and below the line B. Outside the ellipse and above the line C. Inside the ellipse and above the line D. Inside the ellipse and below the line

Mathematics

One endpoint P (1, -2) and the midpoint M (-6, 7) of line segment PQ are given. Find the coordinates of the other endpoint, Q.

What will be an ideal response?

Mathematics

Find the slope of the line containing the two points.(9, -5); (-7, 8)

A.
B.
C. - 
D. - 

Mathematics