Parking at O’Hare International Airport The short-term (no more than 24 hours) parking fee F (in dollars) for parking x hours on a weekday at O’Hare International Airport’s main parking garage can be modeled by the function F ( x ) = { 2 − 3 int ( 1 − x ) i f 0 < x ≤ 4 2 − 9 int ( 3 − x ) i f 4 < x ≤ 9 74 i f 9 < x ≤ 24 Determine the fee for parking in the short-term parking garage for 2 hours 7 hours 15 hours 8 hours and 24 minutes
Parking at O’Hare International Airport The short-term (no more than 24 hours) parking fee F (in dollars) for parking x hours on a weekday at O’Hare International Airport’s main parking garage can be modeled by the function F ( x ) = { 2 − 3 int ( 1 − x ) i f 0 < x ≤ 4 2 − 9 int ( 3 − x ) i f 4 < x ≤ 9 74 i f 9 < x ≤ 24 Determine the fee for parking in the short-term parking garage for 2 hours 7 hours 15 hours 8 hours and 24 minutes
Parking at O’Hare International Airport The short-term (no more than 24 hours) parking fee F (in dollars) for parking
x
hours on a weekday at O’Hare International Airport’s main parking garage can be modeled by the function
F
(
x
)
=
{
2
−
3
int
(
1
−
x
)
i
f
0
<
x
≤
4
2
−
9
int
(
3
−
x
)
i
f
4
<
x
≤
9
74
i
f
9
<
x
≤
24
Determine the fee for parking in the short-term parking garage for
1. A bicyclist is riding their bike along the Chicago Lakefront Trail. The velocity (in
feet per second) of the bicyclist is recorded below. Use (a) Simpson's Rule, and (b)
the Trapezoidal Rule to estimate the total distance the bicyclist traveled during the
8-second period.
t
0 2
4 6 8
V
10 15
12 10 16
2. Find the midpoint rule approximation for
(a) n = 4
+5
x²dx using n subintervals.
1° 2
(b) n = 8
36
32
28
36
32
28
24
24
20
20
16
16
12
8-
4
1
2
3
4
5
6
12
8
4
1
2
3
4
5
6
=
5 37
A 4 8 0.5
06
9
Consider the following system of equations, Ax=b :
x+2y+3z - w = 2
2x4z2w = 3
-x+6y+17z7w = 0
-9x-2y+13z7w = -14
a. Find the solution to the system. Write it as a parametric equation. You can use a
computer to do the row reduction.
b. What is a geometric description of the solution? Explain how you know.
c. Write the solution in vector form?
d. What is the solution to the homogeneous system, Ax=0?
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