Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Student Edition
5th Edition
ISBN: 9780133311617
Author: Prentice Hall
Publisher: Prentice Hall
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The rate of change of the area of a circle with respect to its radius when the diameter is 6 cm is
A boat leaves a port traveling due east at 12 mi/hr. At the same time, another boat leaves the same port traveling northeast at 15 mi/hr. The angle
of the line between the boats is measured relative to due north (see the figure to the right). What is the rate of change of this angle 30 min after the
boats leave the port? 3 hr after the boats leave the port?
X=
-z
Let x be the distance from the port to the eastbound boat and let z be the distance from the port to the northeast bound boat. Write an equation relating x, z, and 0.
√√2 √√2
2
22tan e
(Type an exact answer. Type any angle measures in radians.)
COCE
The rate of change of this angle 30 min after the boats leave the port is
(Round to the nearest thousandth as needed.)
Port
N
15 mi/h
12 mi/h
Triangle TUV is dilated by a scale factor of to form triangle T'U'V'. What is the
measure of side UV?
T'
11.3.
8.9
V'
12
U'
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