Question

Help!! asap!

Answer 1

Answer:

A) A(p(t)) = 25πt²

B) 314 square units.

Step-by-step explanation:

Part A)

Flow of paint can be expressed by the function:

p(t) = 5t

Area of the pattern is expressed as:

A(p) = πp²

Since area is given in terms of p, we can use the expression of p to express the area of pattern in terms of time(t). Using the value, we get:

A(p(t)) = π (5t)²

A(p(t)) = 25πt²

Part B)

We have to calculate the area of the pattern after time t. Substituting the value of t in above expression, we get:

A(p(2)) = 25 x 3.14 x 4 = 314 square units.

Therefore, the area of spilled paint after 2 minutes will be 314 square units.