Calculus Answers

he manager of a large apartment complex knows from experience that 120 units will be occupied if the rent is 396 dollars per month. A market survey suggests that, on the average, one additional unit will remain vacant for each 9 dollar increase in rent. Similarly, one additional unit will be occupied for each 9 dollar decrease in rent. What rent should the manager charge to maximize revenue?

The manager of a large apartment complex knows from experience that 120 units will be occupied if the rent is 372 dollars per month. A market survey suggests that, on the average, one additional unit will remain vacant for each 3 dollar increase in rent. Similarly, one additional unit will be occupied for each 3 dollar decrease in rent. What rent should the manager charge to maximize revenue?

Given that
ϕ=2x2y−xz3
find
▽2ϕ

2y−6xz

4y−6xz

2y−xz

y+6xz

Let
ϕ(x,y,z)=xy2z
and
A=xzi−xy2j+yz2k
,find
∂^3/∂x^2∂z(ϕA)

2i+2j−5k

5i−k

4i−2j

i+j

The number of locusts (l) t days after an infestation is given by the equation
l = 5t2 + 10t + 100

The area of grass left (a) in m3 is given by the equation a = 500/ l
Use composite functions to determine the rate of change of the area of grass on the sixth day.

Explain why there is a limit to the time over which these equations would be realistic.

Q. prove that ∫03 ∫1 √4-y(x+y)dxdy=241/60

Please help me with this question
http://i12.photobucket.com/albums/a219/an_nguyen16/homework_zps1y5yrt0x.jpg

Q. Write difference between ∫c and ∮c.

Q. Write difference between ∫c and ∮c.

6: For the polynomial f(x) = 1 – 2x + 5x^4

as

x → ∞, f(x) → - ∞

A: True
B: False

7: For the polynomial f(x) = 2x^4 - 8x^2 + 7x – 25

as

x → ∞, f(x) → ∞

A: True
B: False

8: What is the maximum number of turns in the graph of.
f(x) = 2x^3 -2x^2 +7x – 25
Answer: _______

9: Find f(1) if
f(x) = 2x^3 +x^2 – 3x – 1
Answer: _______

10: Find f(-2) if
f(x) = - x^3 + 2x^2 + x – 1
Answer: _____