An oil well is leaking, spreading oil over the ground in the shape of a circle. at any time t, in minutes, after the beginning of the leak, the radius of the circular oil slick on the ground is r(t) = 4t feet. let a(r) = πr2 represent the area of the circle with radius r. find and interpret (aor)(t).

answer:

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step-by-step explanation:

for each expression, we will simplify the numerical part as usual, while we will use the following properties to deal with exponents of variables:

rule #1:

rule #2:

rule #3:

first expression:

numeric part:

exponent for a (rule #1):

exponent for b (rule #1):

second expression:

numeric part:

exponent for a (rule #1 + #3):

exponent for b (rule #1):

third expression:

numeric part:

exponent for a (rule #1):

exponent for b (rule #1):

fourth expression:

numeric part:

exponent for a (rule #1 + #2 + #3):

exponent for b (rule #1 + #3):

fifth expression:

numeric part:

exponent for a (rule #1 + #3):

exponent for b (rule #1 + #2):

sixth expression:

numeric part:

exponent for a (rule #1 + #2 + #3):

exponent for b (rule #1 + #3):