dy Find for the following function. xp y = 6 sin x + 2 cos x

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 4CR: Determine whether each of the following statements is true or false, and explain why. The derivative...
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Find
for the following function.
dx
y = 6 sinx + 2 cos x
dy
dx
%3D
Transcribed Image Text:Find for the following function. dx y = 6 sinx + 2 cos x dy dx %3D
The distance an object falls (when released from rest, under the influence of Earth's gravity, and with no air
resistance) is given by d(t) = 16t2, where d
on a ledge on a vertical wall and carefully observes the time it takes for a small stone to fall from the ledge to the
ground.
a. Compute d' (t). What units are associated with the derivative, and what does it measure?
b. If it takes 5.2 s for a stone to fall to the ground, how high is the ledge? How fast is the stone moving when it
strikes the ground (in miles per hour)?
measured in feet and t is measured in seconds. A rock climber sits
a. d'(t) =|
The units associated with the derivative are
and it measures the
of the stone.
b. The ledge is
(Round to the nearest integer as needed.)
feet high.
The stone is moving at
(Round to the nearest integer as needed.)
mi/hr when it strikes the ground.
Transcribed Image Text:The distance an object falls (when released from rest, under the influence of Earth's gravity, and with no air resistance) is given by d(t) = 16t2, where d on a ledge on a vertical wall and carefully observes the time it takes for a small stone to fall from the ledge to the ground. a. Compute d' (t). What units are associated with the derivative, and what does it measure? b. If it takes 5.2 s for a stone to fall to the ground, how high is the ledge? How fast is the stone moving when it strikes the ground (in miles per hour)? measured in feet and t is measured in seconds. A rock climber sits a. d'(t) =| The units associated with the derivative are and it measures the of the stone. b. The ledge is (Round to the nearest integer as needed.) feet high. The stone is moving at (Round to the nearest integer as needed.) mi/hr when it strikes the ground.
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,