The graph of a function is given. Choose the answer that represents the graph of its derivative.

A.

B.

C.

D.


Answer: C

Mathematics

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Find the area of the specified region.Shared by the circles r = 2 and r = 4 sin ?

A. (2? + 3)
B. 2?
C. (4? - 3)
D. ?

Mathematics

Solve.If a flywheel with a 15-inch diameter rotates through an angle of 165° in 4.5 seconds, what distance does a point on the rim travel? What is the average angular speed of the flywheel? Round to the nearest hundredth.

What will be an ideal response?

Mathematics

Provide an appropriate response.Find the value of y in y = -2x + 3 when x = 3.

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

Mathematics

The orbit of Hale-Bopp comet, discovered in 1995, is an ellipse with eccentricity 0.995 and one focus at the Sun. The length of its major axis is 366.5 AU. [An astronomical unit (AU) is the mean distance between Earth and the Sun, about 93 million miles.] Find the maximum distance from the comet to the Sun. (The perihelion distance from a planet to the Sun is a(1 - e) and the aphelion distance is a(1 + e).) Find the answer in AU and round to the nearest hundredth.

What will be an ideal response?

Mathematics