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.
Use the information to find and compare Δy and dy. (Round your answers to four decimal places.)
y = x4 + 7 x = −3 Δx = dx = 0.01
Δy =
dy =
4. A car travels in a straight line for one hour. Its velocity, v, in miles per hour at six minute intervals is shown
in the table. For each problem, approximate the distance the car traveled (in miles) using the given method,
on the provided interval, and with the given number of rectangles or trapezoids, n.
Time (min) 0 6 12 18|24|30|36|42|48|54|60
Speed (mph) 0 10 20 40 60 50 40 30 40 40 65
a.) Left Rectangles, [0, 30] n=5
b.) Right Rectangles, [24, 42] n=3
c.) Midpoint Rectangles, [24, 60] n=3
d.) Trapezoids, [0, 24] n=4
The bracket BCD is hinged at C and attached to a control cable at B. Let F₁ = 275 N and F2 = 275 N.
F1
B
a=0.18 m
C
A
0.4 m
-0.4 m-
0.24 m
Determine the reaction at C.
The reaction at C
N Z
F2
D
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