Two children sit on either end of an 18 -ft teeter totter. The center of the teeter totter is 2 ft off the ground, and the position of each child is 8 ft from the center. a. When one end of the teeter totter is on the ground, find the angle that the teeter totter makes with the ground. Round to the nearest tenth of a degree. b. When one end of the teeter totter is on the ground, how high is the child's seat at the other end? Round to 1 decimal place
Two children sit on either end of an 18 -ft teeter totter. The center of the teeter totter is 2 ft off the ground, and the position of each child is 8 ft from the center. a. When one end of the teeter totter is on the ground, find the angle that the teeter totter makes with the ground. Round to the nearest tenth of a degree. b. When one end of the teeter totter is on the ground, how high is the child's seat at the other end? Round to 1 decimal place
Two children sit on either end of an
18
-ft
teeter totter. The center of the teeter totter is
2
ft
off the ground, and the position of each child is
8
ft
from the center.
a. When one end of the teeter totter is on the ground, find the angle that the teeter totter makes with the ground. Round to the nearest tenth of a degree.
b. When one end of the teeter totter is on the ground, how high is the child's seat at the other end? Round to
1
decimal place
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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