Y equals volume of water, x equals time. If they ask to find the coordinates at one minute, then the first thing you should do is set x equal to 1. That leaves two possible answers. Finally you need to decide how much water is lost in one minute. if you need more help leave a comment.
25 times :) hope this helped!
The volume of a cone is
V = (1/3)πr³
We are given with radius and the height of cone, so we can solve for the radius as function of water level using ratio and proportion
3/9 = r/h
r = h/3
Substituting
V = πh³/81
Taking the derivative
dV/dt = πh²/27 dh/dt
Solving for dh/dt given
dV/dt = 10 m³/s
and
h = 3 m
dh/dt = 9.55 m/s
Answer:
Step-by-step explanation:
Given
Required
The difference quotient for h
The difference quotient is calculated as:
Calculate f(x + h)
The numerator of is:
Collect like terms
So, we have:
Rewrite as:
