A boat leaves port and follows a course of N 77 ° E at 9 knots for 3 hr and 20 min . Then, the boat changes to a new course of S 28 ° E at 12 knots for 5 hr . a. How far is the boat from port? b. Suppose that the boat becomes disabled. How long will it take a rescue boat to arrive if the rescue boat leaves from port and travels 18 knots? Round to the nearest minute. c. What bearing should the rescue boat follow?
A boat leaves port and follows a course of N 77 ° E at 9 knots for 3 hr and 20 min . Then, the boat changes to a new course of S 28 ° E at 12 knots for 5 hr . a. How far is the boat from port? b. Suppose that the boat becomes disabled. How long will it take a rescue boat to arrive if the rescue boat leaves from port and travels 18 knots? Round to the nearest minute. c. What bearing should the rescue boat follow?
Solution Summary: The author calculates the distance between the port and the boat when it follows the course of N77°E.
A boat leaves port and follows a course of
N
77
°
E
at
9
knots for
3
hr
and
20
min
. Then, the boat changes to a new course of
S
28
°
E
at
12
knots for
5
hr
.
a. How far is the boat from port?
b. Suppose that the boat becomes disabled. How long will it take a rescue boat to arrive if the rescue boat leaves from port and travels
18
knots? Round to the nearest minute.
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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