Homework 4
Math 1100
Name:
1. (5 points) If
f(x)
=
8x
—
, compute
2
x
6 September, 2013
I(ey
f’(x).
f’i) —2.x
2. (5 points) If
f(x)
=
8x
—
, compute f’(3).
2
x
—2(3)
3. (5 points) Find the equation of the line tangent to the graph of
point (3,15).
y-(S
Z(x-3)
f(x)
=
8x
—
2 at the
x
4. (5 points) Suppose the height of a ball in feet after t seconds is given b h(t)
\\That is the velocity of the ball after 3 seconds? ‘
=
8
—
5
f-i
‘2.
5. (5 points) Suppose the profit of a paint company is given by P(x) = 8x 2 where x
. What is the marginal profit if three gallons of
2
is the number of gallons of paint sold
paint are sold?
—
1
1
Wt&-,I’
r°
ci1lo1
‘If the poor physics in this problem bothers you, imagine you are throwing balls on a planet with
gravity of earth.
1f your business has this profit function, you should consider finding a new occupation.
2
the