The answer is below

multiply both sides by dx

integrate both sides of the diffrential

simplify and integrate to get y alone don't forget to tack on c with your indefinite integral
Answer:
Step-by-step explanation:
So first we need to find the area of the trash can so here is the math:
The formula:
A=LxW
Replace the letters with numbers:
8=2x4
So the area is 8 feet now we can create an equation to solve how much money it would take to make the trash can:
8x0.79=$6.32
It would take $6.32 to make the trash can
It’s D bc Dt= 15x3 and it’s not that hard to solve
Answer:
The water level is dropping at a rate of 0.24 ft/s
Step-by-step explanation:
Here, we simply want to calculate the change in depth (height of the cone) , given the volume change
Mathematically, we have the volume of a cone as;
V = 1/3 * π * r^2 * h
we are given dv/dt as 12 ft^3/m
dv/dh = 1/3 * π * r^2
Substituting the value for the radius, we have
dv/dh = 1/3 * 22/7 * 4^2 = 50.29
dh/dt = dh/dv * dv/dt
dh/dv = 1/(dv/dh) = 1/50.29
Thus,
dh/dt = 1/50.29 * 12
dh/dt = 0.24 ft/s