MATH SOLVE

4 months ago

Q:
# A carton of milk has spilled on a tile floor. The milk flow can be expressed with the function m(t) = 9t, where t represents time in minutes and m represents how far the milk is spreading.The flowing milk is creating a circular pattern on the tile. The area of the pattern can be expressed as A(m) = πm2.Part A: Find the area of the circle of spilled milk as a function of time, or A[m(t)]. Show your work. (6 points)Part B: How large is the area of spilled milk after 2 minutes? You may use 3.14 to approximate π in this problem. (4 points)

Accepted Solution

A:

part A) means that we have to find a composition of functions A and m

A(m(t))=π(9t)²=9πt²

part B)

A(m(t))=9πt²

A(m(2))=9*3.14*(2)²=113.04

A(m(t))=π(9t)²=9πt²

part B)

A(m(t))=9πt²

A(m(2))=9*3.14*(2)²=113.04