Solve the problem.Shown is the image of a figure under the two successive translations that take P to P' and then P' to P''. Find the original figure. Note again, the given figure is the image after translation. Hint: First find the final image of a point if it were translated by both translations. Then what happens in the reverse process?

A.

B.

C.

D.


Answer: D

Mathematics

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Verify the integration formula.sech-1 x + + C

A. Yes B. No

Mathematics

Solve the problem.An object is rolling with a driving force that suddenly ceases. The object then rolls 10 meters in the first second, and in each subsequent interval of time it rolls 80% of the distance it had rolled the second before. This slowing is due to friction. How far will the object eventually roll?

A. It will roll an infinite distance. B. 20.0 m C. 12.2 m D. 50.0 m

Mathematics

Provide an appropriate response.Which of the following statements defines f(x) = ??I. For every positive real number B there exists a corresponding positive real number N such that f(x) > B whenever x > N.II. For every positive real number B there exists a corresponding negative real number N such that f(x) > B whenever x < N.III. For every negative real number B there exists a corresponding negative real number N such that f(x) < B whenever x < N.IV. For every negative real number B there exists a corresponding positive real number N such that f(x) < B whenever x > N

A. II B. IV C. I D. III

Mathematics

Evaluate the function as indicated.f(x) = log xf(0.1)

A. 0 B. -2 C. -1 D. 10

Mathematics