Straighterline calculus I MAT250 Topic 7: Applications of Differentiations Graded Review: Topic 7 Questions and Answers (2025)

Straighterline calculus I MAT250 Topic 7: Applications of Differentiations
Graded Review: Topic 7 Questions and Answers (2025)

• MAT250_TW_V4
• Topic 7: Applications of Differentiations



Started on Wednesday, March 5, 2025, 2:33 PM


State Finished


Completed on Wednesday, March 5, 2025, 2:40 PM


Time taken 6 mins 25 secs


Grade 20.00 out of 20.00 (100%)

Question 1
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Question text
A baseball diamond has the shape of a square with sides 9090 feet long. A player is running from
second to third at a speed of 28ft/sec28ft/sec. At the time he is 3030 feet from third, what is the
rate of change of his distance from the home plate?

Select one:
a.
−2810−−√ft/sec−2810ft/sec



b.
−28010−−√ft/sec−28010ft/sec
c.
10710−−√ft/sec10710ft/sec
d.
−28ft/sec−28ft/sec

, Question 2
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Question text
A physical fitness room consists of a rectangular region with a semicircle at each end. If the
perimeter of the room is to be a 200ft200ft running track, what is the radius of the semicircle that
will make the rectangular region a maximum?

Select one:
a.
25πft25πft
b.
50πft50πft


c.
100πft100πft
d.
50ft50ft
Question 3
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Question text
A 1515 foot ladder is leaning against a wall of a house. The base of the ladder is pulled away from
the wall at a rate of 2ft/sec2ft/sec. Find the rate at which the area of the triangle is changing when
the base of the ladder is 9ft9ft from the wall.

Select one:
a.
938ft2/sec938ft2/sec
b.
1312ft2/sec1312ft2/sec
c.
694ft2/sec694ft2/sec
d.
214ft2/sec214ft2/sec