Answer the question.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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Complete the blank with either ? or ? to make the statement true.{7}    {{4}, {5}, {6}, {7}, {8}}

A. ? B. ?

Mathematics

Rewrite as a terminating decimal.

A. 0.008 B. 0.592 C. 2.96 D. 5.92

Mathematics

Add or subtract as indicated. Simplify the result, if possible. - 

A.
B. - 
C.
D. - 

Mathematics

Solve the problem.The volume of water added to a circular drum of radius r is given by , where is volume in cu ft and t is time in sec. Find the depth of water in a drum of radius 3 ft after adding water for 4 sec. (Round result to one decimal place.)

A. 1.4 ft B. 0.7 ft C. 0.8 ft D. 2.2 ft

Mathematics