Two planes leave the same airport. The first plane leaves at 1 : 00 P .M . and averages 480 mph at a bearing of S 62 ° E . The second plane leaves at 1 : 15 P .M and averages 410 mph at a bearing of N 12 ° W . a. How far apart are the planes at 2 : 45 P .M . ? b. What is the bearing from the first plane to the second plane at that time? Round to the nearest degree.
Two planes leave the same airport. The first plane leaves at 1 : 00 P .M . and averages 480 mph at a bearing of S 62 ° E . The second plane leaves at 1 : 15 P .M and averages 410 mph at a bearing of N 12 ° W . a. How far apart are the planes at 2 : 45 P .M . ? b. What is the bearing from the first plane to the second plane at that time? Round to the nearest degree.
Solution Summary: The author calculates the distance between the two planes at 2:45PM for the given condition.
Two planes leave the same airport. The first plane leaves at
1
:
00
P
.M
. and averages
480
mph
at a bearing of
S
62
°
E
. The second plane leaves at
1
:
15
P
.M
and averages
410
mph
at a bearing of
N
12
°
W
.
a. How far apart are the planes at
2
:
45
P
.M
.
?
b. What is the bearing from the first plane to the second plane at that time? Round to the nearest degree.
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?
University Calculus: Early Transcendentals (4th Edition)
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