Math 109 Practice Quiz VI Solutions PDF

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Summary

Math 109 Sample Quiz 6 with solutions for Fall 2020. Will be similar to the actual quiz posted online....

Description

MATH 109 Quiz # 6 Practice # 1 – Time: 30 minutes

• This Practice Quiz activity is meant to help you practice concepts from sections 3.9, 3.10, and 4.1 before your sixth MML quiz (which is due Monday November. 2nd by 10pm). • The actual Quiz 6 will be similar to the posted online HW 6. In addition to completing this practice quiz, I recommend working through that homework and spending extra time practicing questions that give you trouble from the section 3.9, 3.10 and 4.1 study plan. • You can write mock quizzes in MML by going to Study Plan then Selecting a Learning Objective then clicking on Quiz Me. • Your quiz is 4 questions and is similar in length to this practice quiz. I have also added a bonus question to the end of this quiz for extra practice. You should be able to solve the first 4 questions of this practice quiz in a maximum 30 minute time limit, the bonus question is extra and it is ok if that takes you longer. • I will post solutions to this practice Quiz to BrightSpace by end of day Friday.

• CAUTION: Make sure that you pay attention the units in each related rates questions. Just because the rates given are in certain units does not mean the rates in the answer are in the same units.

dy 1. Find for y = csc−1 dw

2. Suppose x2 y − y 3 =

√

and y = 1, determine

✓

◆ 3 . 5w

x + 13 is def ined implicitly in terms of t. If

dx . dt

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dy = −3 when x = 4 dt

3. A cylindrical balloon is being inflated at a rate of 0.3m/min in such a way that the height of the balloon is always double it’s diameter. At the moment when the height of the balloon is 0.5m determine the following: (a) At what rate is the height of the balloon changing? Give your answer in cm/min.

(b) At what rate is the radius of the ballon changing? Give your answer in cm/min.

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√ 4. Find the absolute extrema of f (x) = 4 3 x + x4/3 on the interval [−8, −0.5]. Be sure to indicate what the extreme value is as well as where it occurs.

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Bonus Challenge Question: Find the absolute extrema of f (x) = cos−1 (2x2 ) on the natural domain of f (x). Be sure to indicate what the extreme value is as well as where it occurs.

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