Straighterline calculus I MAT250 Topic 3: Derivatives Graded Exam:
Topics 1-3 Questions and Answers (2025)
• MAT250_TW_V4
• Topic 3: Derivatives
Started on Wednesday, March 5, 2025, 1:33 PM
State Finished
Completed on Wednesday, March 5, 2025, 1:50 PM
Time taken 16 mins 39 secs
Points 96.67/100.00
Grade 96.67 out of 100.00
Question 1
Correct
3.33 points out of 3.33
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Question text
The given region is the combination of a semicircle with radius 66 cm and a square with side
length 1212 cm. Find the area of the given region using the formula for the area of a
circle, A=πr2A=πr2 where rr is the circle's radius, and the formula for the area of a
square, A=s2A=s2 where ss is the length of a side of the square. Remember, a semicircle's area is
one half the area of the circle with the same radius.
Select one:
a.
72+18πcm272+18πcm2
,b.
144+18πcm2144+18πcm2
c.
72+6πcm272+6πcm2
d.
144+6πcm2144+6πcm2
e.
None of the above
Question 2
Correct
3.33 points out of 3.33
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Question text
The formula for the volume of a cone is V=13BhV=13Bh, where BB is the area of the base. Use
this formula to find the volume of the given cone.
Hint: The base of the cone is a circle and the formula for the area of a circle is A=πr2A=πr2,
where rr is the circle's radius.
Select one:
a.
21πft321πft3
b.
42πft342πft3
c.
62πft362πft3
d.
14πft314πft3
e.
None of the above
Question 3
Correct
3.33 points out of 3.33
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, Question text
What is the equation of the line LL that passes through the point (1,−1)(1,−1) and has an angle of
inclination of 60∘60∘?
Select one:
a.
y=3–√x+1−3–√y=3x+1−3
b.
y=3–√x−1−3–√y=3x−1−3
c.
y=3–√x−1+3–√y=3x−1+3
d.
y=3–√x+1+3–√y=3x+1+3
e.
None of the above
Question 4
Correct
3.33 points out of 3.33
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Question text
The community center is 44 miles away from George’s house. If he rides his skateboard to the
center, and he is traveling at an average rate of 55 miles per hour, how many minutes will it take him
to get to the community center?
Select one:
a.
2020 min
b.
4848 min
c.
7575 min
d.
88 min
e.
None of the above
Question 5
Correct
Topics 1-3 Questions and Answers (2025)
• MAT250_TW_V4
• Topic 3: Derivatives
Started on Wednesday, March 5, 2025, 1:33 PM
State Finished
Completed on Wednesday, March 5, 2025, 1:50 PM
Time taken 16 mins 39 secs
Points 96.67/100.00
Grade 96.67 out of 100.00
Question 1
Correct
3.33 points out of 3.33
Flag question
Question text
The given region is the combination of a semicircle with radius 66 cm and a square with side
length 1212 cm. Find the area of the given region using the formula for the area of a
circle, A=πr2A=πr2 where rr is the circle's radius, and the formula for the area of a
square, A=s2A=s2 where ss is the length of a side of the square. Remember, a semicircle's area is
one half the area of the circle with the same radius.
Select one:
a.
72+18πcm272+18πcm2
,b.
144+18πcm2144+18πcm2
c.
72+6πcm272+6πcm2
d.
144+6πcm2144+6πcm2
e.
None of the above
Question 2
Correct
3.33 points out of 3.33
Flag question
Question text
The formula for the volume of a cone is V=13BhV=13Bh, where BB is the area of the base. Use
this formula to find the volume of the given cone.
Hint: The base of the cone is a circle and the formula for the area of a circle is A=πr2A=πr2,
where rr is the circle's radius.
Select one:
a.
21πft321πft3
b.
42πft342πft3
c.
62πft362πft3
d.
14πft314πft3
e.
None of the above
Question 3
Correct
3.33 points out of 3.33
Flag question
, Question text
What is the equation of the line LL that passes through the point (1,−1)(1,−1) and has an angle of
inclination of 60∘60∘?
Select one:
a.
y=3–√x+1−3–√y=3x+1−3
b.
y=3–√x−1−3–√y=3x−1−3
c.
y=3–√x−1+3–√y=3x−1+3
d.
y=3–√x+1+3–√y=3x+1+3
e.
None of the above
Question 4
Correct
3.33 points out of 3.33
Flag question
Question text
The community center is 44 miles away from George’s house. If he rides his skateboard to the
center, and he is traveling at an average rate of 55 miles per hour, how many minutes will it take him
to get to the community center?
Select one:
a.
2020 min
b.
4848 min
c.
7575 min
d.
88 min
e.
None of the above
Question 5
Correct
