The cross section of a cooling tower of a nuclear power plant is in the shape of a hyperbola, and can be modeled by the equation. x 2 625 − y − 80 2 2500 = 1 where x and y are measured in meters. The top of the tower is 120 m above the base. a. Determine the diameter of the tower at the base. Round to the nearest meter. b. Determine the diameter of the tower at the top. Round to the nearest meter.
The cross section of a cooling tower of a nuclear power plant is in the shape of a hyperbola, and can be modeled by the equation. x 2 625 − y − 80 2 2500 = 1 where x and y are measured in meters. The top of the tower is 120 m above the base. a. Determine the diameter of the tower at the base. Round to the nearest meter. b. Determine the diameter of the tower at the top. Round to the nearest meter.
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?
Elementary Statistics: Picturing the World (7th Edition)
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