3
2
5
log (log (log 25))
x
41. The number of students in a school infected with the flu
t
days after exposure is modeled by the
function
4
300
1
t
P t
e
.
(a) How many students were infected after three days?
(b) When will 100 students be infected?

Solve.
Show all steps.
Give decimal answers correct to
three
decimal places.
42. Exponential growth is modeled by the function
0
kt
n
n e
.
A culture contains 500 bacteria when
t
= 0.
After an hour, the number of bacteria is 1200.
(a) How many bacteria are there after four hours?
(b) After how many hours will there be 8000 bacteria?
__________________________________________________________________________________________
Evaluate.
43.
1
3
tan
Cos
2
44.
sec
Arcsin
2
2
45.
1
cos Sin
2
x
46.
sec Arctan 4
x
__________________________________________________________________________________________
47. Convert the equation
2
3
8
x
y
into polar form.
48. Convert the equation
2
2 sin
0
r
r
into rectangular form.
__________________________________________________________________________________________
Make a table, and sketch the graph.
49.
3sin
r
50.
2
2cos
r
51.
1
2sin
r
52.
3
2cos
r
53.
4cos 3
r
54.
3sin 2
r
__________________________________________________________________________________________
Write a function for each problem, and use your graphing calculator to solve.
Give decimal answers correct to
three decimal places.
Be sure to sketch the graph you used, and label it with your answer.
55.
A rancher has 200 feet of fencing with which to enclose two adjacent
rectangular corrals, as shown.
What dimensions should be used so
that the enclosed area will be a maximum?
56. A rectangle is bounded by the
x
-axis and the semicircle
2
25
y
x
as shown.
What length and width should the rectangle have so that
its area is a maximum?
57.
Four feet of wire is to be used to form a square and a circle.
Find the length of the sides of the square
and the radius of the circle that will enclose the maximum total area?

#### You've reached the end of your free preview.

Want to read all 4 pages?

- Summer '16
- Calculus, Logarithm