Factor out 12x^3y^2
12x^3y^2(3y^2+5x^ 2 y z^2 -1)
Answer:
Therefore the population will be maximum when x=30 inches.
Step-by-step explanation:
Given that, the mosquito population is a function of rainfall and can be approximated by the formula

where x is the number of inches of rainfall.

Differentiating with respect to x

Again differentiating with respect to x

Now we set N'(x)=0





Since at x=30, N''(x)<0, So at x=30, N(x) has maximum value.
Therefore the population will be maximum when x=30 inches.
Answer:
Volume of the right circular cone = 1188.79 cubic inches
Step-by-step explanation:
Height of the cone = 17.1 inch
Circumference of the cone= 16.3 inches
Radius = 16.3/2
= 8.15 inch
Volume of the cone is:

As, 
Volume of the cone

Volume of the right circular cone is 1188.79 cubic inches
Answer:
Step-by-step explanation:
- tangent = opposite / adjacent
- tan x = 40/34
- x = arctan (40/34)
- x ≈ 49.6°