Graph f(x) = x - 2x² - 5.




Mathematics

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Solve the problem.Find the volume of the solid generated by revolving the region enclosed by the ellipse 4x2 + 25y2 = 100 about the x-axis.

A.
B.
C. 4?2
D.

Mathematics

The decibel level D, a measure of loudness of sound, can be calculated from the relative intensity I of sound. The relationship is . A:  If one sound is 1,000 times as intense as another, how do their decibel ratings compare?B: Is the graph of D versus I concave up or concave down?  Explain what the concavity means in practical terms.C: Solve the equation above to express relative intensity as a function of decibels. ?

What will be an ideal response?

Mathematics

Calculate the arc length of the indicated portion of the curve r(t).r(t) = 3ti  + j  + k; -5? t ? -1

A. 100 B. -150 C. 20 D. -30

Mathematics

Classify the pair of angles shown in the figure below, where l?1 and l?2 are parallel. ? ? ? The angles are __________ (vertical angles, adjacent and supplementary angles, corresponding angles, or alternate interior angles).

Fill in the blank(s) with the appropriate word(s).

Mathematics