MATH SOLVE

9 months ago

Q:
# Ice is forming on a pond at a rate given by dydt=kt√, dydt=kt, where yy is the thickness of the ice in centimeters at time tt measured in hours since the ice started forming, and kk is a positive constant. find yy as a function of tt.

Accepted Solution

A:

Answer:
Multiply both sides by dt, yielding...
dy = kt^(1/2)*dt. Integrate both sides, left with respect to y and right with respect to t, using the power rule.
y = k(2/3)t^(3/2).
y = (2k/3)*t^(3/2).