Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle's Theorem.


Mathematics

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Evaluate the integral.

A. - 8 B. - 56 C. 16 D. - 64

Mathematics

Solve the problem.Find the volume of the solid generated by revolving the region bounded by the curve  the  and the vertical line  about the x-axis.

A. 2?(e2 - 1) B. ? e C. ?(e - 1) D. ?(e2 - 1)

Mathematics

Solve the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.

A. B = 36.8°, b = 257.5 ft, c = 321.5 ft B. B = 37.2°, b = 259.9 ft, c = 321.5 ft C. B = 37.2°, b = 26.8 ft, c = 21.8 ft D. B = 37.2°, b = 321.5 ft, c = 259.9 ft

Mathematics

Write interval notation for the graph.

A. (2, 6) B. [2, 6) C. [2, 6] D. (2, 6]

Mathematics