1. Who Wants to Be a Millionaire?
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5. 50/50
Fifty - Fifty
You’ve asked that two of the wrong answers be eliminated, leaving you with one wrong answer plus the correct one.
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8. Question #1... 𝑑 𝑑𝑥 0 3𝑥 cos 𝑡 𝑑𝑡 50/50 A B C D 𝒔𝒊𝒏 𝟑𝒙 −𝟑 𝒔𝒊𝒏 𝟑𝒙
𝟑 𝒄𝒐𝒔 𝟑𝒙 A B
𝒄𝒐𝒔 𝟑𝒙
𝒔𝒊𝒏 𝟑𝒙 C D
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9. Question #2... 𝑥−18 (𝑥+3)(𝑥−4) 𝑑𝑥= 50/50 A B C D 𝟓𝒅𝒙 (𝒙+𝟑)(𝒙−𝟒)
𝟑𝒅𝒙 𝒙+𝟑 + 𝟐𝒅𝒙 𝒙−𝟒 A B
𝟏𝟓 𝒅𝒙 𝒙+𝟑 − 𝟏𝟒 𝒅𝒙 𝒙−𝟒
𝟑𝒅𝒙 𝒙+𝟑 − 𝟐𝒅𝒙 𝒙−𝟒 C D
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10. Question #3... Using rectangles to estimate the area under a curve from x = a to x = b is
50/50
Trapezoid Sum
Triangle Sum A B
Riemann Sum
Some Sum C D
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11. Question #4... The average value of
𝑓 𝑥 =𝑥 ln 𝑥 on the interval [1,e] is
50/50
𝒆 𝟐 +𝟏 𝟒(𝒆−𝟏)
𝒆 𝟐 −𝟏 𝟒(𝒆−𝟏) A B
𝒆 𝟐 +𝟏 𝟒(𝒆+𝟏)
𝒆−𝟏 𝟒(𝒆+𝟏) C D
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12. Question #5... 2 𝑒+1 4 𝑥−1 𝑑𝑥= 50/50 A B C D 4e 4 -4e
-4e C D
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13. Question #6... Use the table below to find a right Riemann approximation with 4 subintervals for 𝑓 𝑥 𝑑𝑥 x 3 5 8 9 12
f (x) 10 6
50/50 65 67 A B
87.75 69 C D
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14. Question #7... 𝒙 𝟐 𝒄𝒐𝒔( 𝒙 𝟑 ) 𝒅𝒙 50/50 A B C D − 𝟏 𝟑 𝒔𝒊𝒏 𝒙 𝟑 +𝑪
− 𝟏 𝟑 𝒔𝒊𝒏 𝒙 𝟑 +𝑪
𝟏 𝟑 𝒔𝒊𝒏 𝒙 𝟑 +𝑪 A B
− 𝒙 𝟑 𝟑 𝒔𝒊𝒏 𝒙 𝟑 +𝑪
𝒙 𝟑 𝟑 𝒔𝒊𝒏 𝒙 𝟑 +𝑪 C D
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15. Question #8... Trapezoidal sum overapproximates 𝑎 𝑏 𝑓 𝑥 𝑑𝑥 and left Riemann sum underapproximates 𝑎 𝑏 𝑓 𝑥 𝑑𝑥 . Which of the following describes 𝑓(𝑥)?
50/50
f(x) is inc and concave down
f(x) is inc and concave up A B
f(x) is dec and concave down
f(x) is dec and concave up C D
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16. Question #9... 𝒙 𝒔𝒊𝒏 𝟐𝒙 𝒅𝒙 = 50/50 A B C D 𝒙 𝟐 𝒄𝒐𝒔 𝟐𝒙 + 𝟏 𝟒 𝒔𝒊𝒏 𝟐𝒙 +𝑪
− 𝒙 𝟐 𝒄𝒐𝒔 𝟐𝒙 + 𝟏 𝟐 𝒔𝒊𝒏 𝟐𝒙 +𝑪 A B
−𝒙 𝒄𝒐𝒔 𝟐𝒙 +𝒔𝒊𝒏 𝟐𝒙 +𝑪
− 𝒙 𝟐 𝒄𝒐𝒔 𝟐𝒙 + 𝟏 𝟒 𝒔𝒊𝒏 𝟐𝒙 +𝑪 C D
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17. Question #10... If 𝑓 𝑥 = 0 𝑥+1 3 𝑡 2 −1 𝑑𝑡, then 𝑓 ′ 2 =
50/50 2 A B
𝟑 𝟏𝟓
𝟑 −𝟗 C D
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18. Question #11... 𝟑𝒙+𝟏 𝟓 𝒅𝒙= 50/50 A B C D 𝟑𝒙+𝟏 𝟔 𝟏𝟖 +𝑪 𝟑𝒙+𝟏 𝟔 𝟔 +𝑪
𝟑𝒙+𝟏 𝟔 𝟏𝟖 +𝑪
𝟑𝒙+𝟏 𝟔 𝟔 +𝑪 A B
𝟑𝒙+𝟏 𝟔 𝟐 +𝑪
𝟑 𝒙 𝟐 𝟐 +𝒙 𝟔 +𝑪 C D
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19. Question #12... 𝟐𝒙 𝒙+𝟐 𝒙+𝟏 𝒅𝒙= 50/50 A B C D 𝒍𝒏 𝒙+𝟐 +𝒍𝒏 𝒙+𝟏 +𝑪
𝒍𝒏 𝒙+𝟐 +𝒍𝒏 𝒙+𝟏 −𝟑𝒙+𝑪 A B
𝟐𝒍𝒏 𝒙 + 𝟐 𝟑 𝒙+ 𝟏 𝟐 𝒙 𝟐 +𝑪
4𝒍𝒏 𝒙+𝟐 −𝟐 𝒍𝒏 𝒙+𝟏 +𝑪 C D
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20. Question #13... 𝒆 𝒙 𝒄𝒐𝒔𝒙 𝒅𝒙= 50/50 A B C D 𝒆 𝒙 𝟐 𝒔𝒊𝒏 𝒙+𝒄𝒐𝒔 𝒙 +𝑪
𝒆 𝒙 𝟐 𝒔𝒊𝒏 𝒙+𝒄𝒐𝒔 𝒙 +𝑪
𝒆 𝒙 𝟐 𝒄𝒐𝒔 𝒙−𝒔𝒊𝒏 𝒙 +𝑪 A B
𝒆 𝒙 𝟐 𝒔𝒊𝒏 𝒙−𝒄𝒐𝒔 𝒙 +𝑪
𝟐 𝒆 𝒙 (𝒔𝒊𝒏 𝒙+𝒄𝒐𝒔 𝒙)+𝑪 C D
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21. Question #14... The velocity, in ft/sec, of a particle moving along the x-axis is given by the function 𝑣 𝑡 = 𝑒 𝑡 +𝑡 𝑒 𝑡 . What is the average velocity of the particle from time t = 0 to time t = 3?
50/50
ft/sec
ft/sec A B
ft/sec
ft/sec C D
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22. Question #15. 𝑔 𝑥 = 0 𝑥 sin 𝑡 2 𝑑𝑡 for −1≤𝑡≤3
Question #15... 𝑔 𝑥 = 0 𝑥 sin 𝑡 2 𝑑𝑡 for −1≤𝑡≤3. On which of the following intervals is g decreasing?
50/50
𝟏.𝟕𝟕𝟐≤𝒙≤𝟐.𝟓𝟎𝟕
𝟐.𝟖𝟎𝟐≤𝒙≤𝟑 A B
𝟎≤𝒙≤𝟏.𝟕𝟕𝟐
−𝟏≤𝒙≤𝟎 C D
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