Solve the problem.An oil well off the Gulf Coast is leaking, with the leak spreading oil over the surface of the gulf as a circle. At any time t, in minutes, after the beginning of the leak, the radius of the oil slick on the surface is  Find the area A of the oil slick as a function of time.

A. A(r(t)) = 4?t
B. A(r(t)) = 4t2
C. A(r(t)) = 4?t2
D. A(r(t)) = 2?t2


Answer: C

Mathematics

You might also like to view...

Simplify.- 3

A.
B. -125y3
C. - 
D. - 

Mathematics

Provide an appropriate response. Find the value of tan 326°. Round to four significant digits.

A. -0.6745 B. 0.6745 C. -0.8871 D. -0.6235

Mathematics

All references are to the figure below. The distance between A and D is a, and the distance between D and C is x. Assuming that A = 36°, ?BDC = 42°, and c2 = 21, find h, x, and a.

A. h ? 12.3, x ? 13.7, a ? 3.3 B. h ? 14.1, x ? 15.6, a ? 3.7 C. h ? 12, x ? 14, a ? 3.3 D. h ? 14, x ? 16, a ? 3.7

Mathematics

Let  and compute the Riemann sum of f over the interval , choosing the representative points to be the left endpoints of the subintervals, using:

?
Two subintervals of equal length .
?
__________ sq units
?
Five subintervals of equal length .
?
__________ sq units
?
Ten subintervals of equal length .
?
__________ sq units
?
Can you guess at the area of the region under the graph of f on the interval ?
?
? __________ sq units

What will be an ideal response?

Mathematics