The number of students in a school infected with the flu
t
days after exposure is modeled by the
function
3
500
1
t
P t
e
.
(a) How many students were infected after four days?
(b) When will 200 students be infected?
______________________________________________________________________________
Evaluate.
18.
1
3
cos Sin
2
19.
tan Arcsec 3
x
______________________________________________________________________________
20. Convert
2
6 cos
0
r
r
into rectangular form.
21. Sketch the graph of
2
2sin
r
.
22. Sketch the graph of
1
2cos
r
.
______________________________________________________________________________
Find the limit.
23.
3
3
3
lim
27
x
x
x
24.
0
2
2
lim
y
y
y
25.
2
3
3
3
4
lim
5
2
x
x
x
x
x
TURN--->>>
26.
Find the slope of the line tangent to
3
2
3
4
at the point
1,2 .
f
x
x
x
x

27.
Find an equation of a line that is tangent to
2
5
g x
x
and is perpendicular to the
line
6
7
0.
x
y
______________________________________________________________________________
Use the definition of the derivative to find the derivative.
28.
2
1
f
x
x
29.
3
2
5
f
x
x
x
_____________________________________________________________________________
Write a function, and use your graphing calculator to solve.
Give decimal answers correct
to three decimal places.
30.
A container with square base, vertical sides, and an open top is to be made from
2
1000
ft
of material.
Find the dimensions of the container with greatest volume.
31.
A piece of wire 10 m long is cut into two pieces.
One piece is bent into a square, and
the
other is bent into an equilateral triangle.
How should the wire be cut so that the total area
enclosed is
(a) a maximum?
(b) a minimum?
4 mi.
S
32. On the same side of a straight river are two towns, and the
townspeople want to build a pumping station at point
S
.
1 mi.
4 mi.
Find the distance from
S
to Town 1 that will minimize the
total length of pipe.
Town 1
Town 2

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- Winter '15
- Aisha
- Calculus, Derivative, piece of wire