Answer:
A(t) = 676π(t+1)
Correct question:
A rain drop hitting a lake makes a circular ripple. Suppose the radius, in inches, grows as a function of time in minutes according to r(t)=26√(t+1), and answer the following questions. Find a function, A(t), for the area of the ripple as a function of time.
Step-by-step explanation:
The area of a circle is expressed as;
A = πr^2
Where, A = Area
r = radius
From the case above.
The radius of the ripple is a function of time
r = r(t) = 26√(t+1)
So,
A(t) = π[r(t)]^2
Substituting r(t),
A(t) = π(26√(t+1))^2
A(t) = π(676(t+1))
A(t) = 676π(t+1)
