Answer:
Average rate of change = 
Step-by-step explanation:
Average rate of change of a function 'f' in the interval a ≤ x ≤ b is given by,
Average rate of change = 
We have to find the average rate of change in the interval 20 ≤ x ≤ 65
From the table attached,
f(65) = 32
f(20) = 14
Average rate of change = 
= 
= 
Therefore, average rate of change in the given interval is
.
X^2-18 = 3x
x^2 - 3x - 18 = 0
(x-6)(x+3) = 0
x = {-3,6}
So -3 is the answer
Answer:
The diameter will increase at a rate of 1/30π cm/min
Step-by-step explanation:
Here we want to calculate the rate at which the diameter will increase
Mathematically, the area of a sphere is given as;
A = 4πr^2
But r = d/2
so A = 4 * π * d/2 * d/2 = πd^2
dA/d(d) = 2πd
Thus dd/dA = 1/2πd = 1/2 * π * 15 = 1/30π
Given dA/dt = 10
Mathematically;
d(d)/dt = d(d)/dA * dA/dt
dd/dt = 1/30π * 10 = 10/30π = 1/3π cm/min
Answer:
78 is the probability of spinning