Differentiate both sides wrt 
:
By the chain rule, we get
Solve for 
:
Answer:
lateral surface area bottom part area
His answer was (x- +2) (x^2-9)
a) His mistake was he has x^2 in one of the parenthesis, to be fully factored you cannot have an exponent as part of the answer.
b) x^3 - 9x + 2x^2 -18
Reorder the terms:
x^3 +2x^2 -9x -18
Group the first two terms and the last two terms
(x^3 + 2x^2) -9x-18
Factor out the greatest common factor from each group:
x^2(x+2) - 9(x+2)
Factor the polynomial by factoring out the common factor once x+2:
(x+2) (x^2-9)
Rewrite 9 as 3^2:
(x+2) (x^2-3^2)
Factor one last time:
(x+2) (x+3) (x-3)
Answer:
B
Step-by-step explanation:
it ~2 units away from the origin
when you move it, B is the only one ~2 units away
For part a, yes because each student is paying the same amount
For part c, each student is paying $15 to go
For part d, it's $1800
For part e, it would be 95 students
