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Exam (elaborations)
legit MATH 123 HW#3 Related Rates Name Period Date Additional
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---6June 20252024/2025A+
- Additional Practice Problems Can Be Found in Section 4.1 of your Online Textbook 
(1) A particle travels along the curve 
y x = 
. At the moment when the particle is at (9, 3), it is given that 
7 
dx 
dt 
= 
units per second. Find 
dy 
dt 
at the same moment. 
(2) A particle travels along the curve y = cos x in such a way that 
dx 
dt 
is always 2 units per second. 
As the particle travels through some point P, we have 
3 
dy 
dt 
= 
. Find all possible x-coordinates of point P (given 
0 2 ...
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Abbyy01
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Exam (elaborations)
MATH 123 Interpreting the Meaning of the Derivative in Context Questions
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---2June 20252024/2025A+
- 1. The function models the time, in hours, for a sample of water to evaporate as a function of the size of 
the sample, measured in milliliters. What are the units for ? 
(A) hours per milliliter 
(B) milliliters per hour 
(C) hours per milliliter per milliliter 
(D) milliliters per hour per hour 
2. The function gives the production cost for a bakery to produce cakes of a certain type, where is the cost, in 
dollars, to produce of the cakes. The function defined by gives the marginal 
cost, in ...
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Abbyy01
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Exam (elaborations)
MATH 123 AP Calculus AB – Unit 4 verified questions
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---4June 20252024/2025A+
- AP Calculus AB – Unit 4 – HW #1 Name: _____________________________ 
Position, Velocity, & Acceleration Period: ______ Date: _______________ 
Complete all problems. Be sure to show work (if necessary) and justify your answer. 
A bug crawls along the y-axis. 
His POSITION at time t 
(where 0 ≤ t ≤ 10) 
is given by the function y (t), 
which is graphed to the right. 
1. Sketch & LABEL the graphs of 
the velocity function, v (t), and 
the acceleration function, a (t), 
on the axes given. 
2...
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Abbyy01
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Exam (elaborations)
MATH 123 Unit 4 – AP Practice Problems: Position, Velocity, and Acceleration
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---5June 20252024/2025A+
- Unit 4 – AP Practice Problems: 
Position, Velocity, and Acceleration 
Four problems appear on the following pages. 
This study source was downloaded by from CourseH on :53:57 GMT -05:00 

I. AB 2012 #6 – No Calculator 
For 0 ≤ t ≤ 12, a particle moves along the x-axis. The velocity of the particle at time t 
is given by 
( ) 6 
( ) = cos π 
v t t 
. The particle is at position x = –2 at time t = 0. 
(a) For 0 t 12, when is the particle moving to the left?
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Abbyy01