All cone-shaped cups have the same height in 8 inches. They just differ in their diameters. To solve for the volume of the regular and jumbo sizes, let's use the formula for the volume of cone
V = (1/3)*pi*(r^2)*h
r is just the half of the diameter, h is the height which is equal to 8
Regular size:
V = (1/3)*pi*((4/2)^2)*8
V = 33.5 cube inches
Jumbo size:
V = (1/3)*pi*((8/2)^2)*8
V = 134.0 cube inches
The answer to this question would be
y
=
1
6
x
+
3
Let 
. Then differentiating, we get
We approximate 
at 
with the tangent line,
The 
-intercept for this approximation will be our next approximation for the root,
Repeat this process. Approximate at 
.
Then
Once more. Approximate at 
.
Then
Compare this to the actual root of , which is approximately <u>1.76929</u>2354, matching up to the first 5 digits after the decimal place.
A = b+5
ab = 3300
(b+5)b = 3300
b² +5b -3300 = 0 (quadratic formula)
b=55
a=60 (by first relation)
The illegal values of b are when the denominator equals 0.
So, 
gives you (b-4)(b+2)=0
Therefore, b=4 and b=-2, which is answer A.
