Topics 6.1-6.6 Review

Topics 6.1-6.6 Review

10th - 12th Grade

63 Qs

quiz-placeholder

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Topics 6.1-6.6 Review

Topics 6.1-6.6 Review

Assessment

Quiz

Mathematics

10th - 12th Grade

Medium

Created by

Tisha Bowman-Ashby

Used 26+ times

FREE Resource

63 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

A child is inflating a balloon by blowing air in to it. Each time he takes a breath, a small amount of air leaks out of the balloon. The table gives various values for time t (in seconds) and r'(t), the rate of change of the radius of the balloon in mm/sec. Use a Left Riemann Sum with three subintervals to approximate the total change in radius of the balloon on the interval [1,11].

14

16

27

38

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

A function g(x) has g'(x)>0 and g"(x)<0 on [1,5]. If a Right Riemann Sum is used to approximate the area between g(x) and the x-axis on the interval [1, 5], which of the following is correct?

underapproximate because g'(x)>0

overapproximate because g'(x)>0

underapproximate because g"<0

overapproximate because g"<0

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Samantha is heating up some soup on the stove and various measurements of temperature, in degrees Celsius, are taken and given in the table above. Using a midpoint Riemann sum with three subintervals, which of the following expressions could be used to find the total degrees the soup accumulated over the interval [0,8]?

 [2(22)+2(35)+4(51)]\left[2\left(22\right)+2\left(35\right)+4\left(51\right)\right]  

 [1(22)+3(35)+6(51)]\left[1\left(22\right)+3\left(35\right)+6\left(51\right)\right]  

 [2(26)+2(48)+4(62)]\left[2\left(26\right)+2\left(48\right)+4\left(62\right)\right]  

 [2(23)+2(37)+4(55)]\left[2\left(23\right)+2\left(37\right)+4\left(55\right)\right]  

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which of the following limits is equal to

 13x3dx\int_1^3x^3dx  

 limnk=1n(1+kn)31n\lim_{n\rightarrow\infty}\sum_{k=1}^n\left(1+\frac{k}{n}\right)^3\frac{1}{n}  

 limnk=1n(1+2kn)32n\lim_{n\rightarrow\infty}\sum_{k=1}^n\left(1+\frac{2k}{n}\right)^3\frac{2}{n}  

 limnk=1n(1+kn)32n\lim_{n\rightarrow\infty}\sum_{k=1}^n\left(1+\frac{k}{n}\right)^3\frac{2}{n}  

 limnk=1n(1+2kn)31n\lim_{n\rightarrow\infty}\sum_{k=1}^n\left(1+\frac{2k}{n}\right)^3\frac{1}{n}  

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Gasoline is being pumped into a car. The rate that the gas is being pumped is given in the table at selected times. Use a right Riemann Sum with 3 equal subintervals to approximate the total gallons of gasoline pumped in the car over the 24 seconds.

8.72 gallons

9.92 gallons

6.96 gallons

7.51 gallons

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Gasoline is being pumped into a car. The rate that the gas is being pumped is given in the table at selected times. Use a midpoint Riemann Sum with 3 equal subintervals to approximate the total gallons of gasoline pumped in the car over the 24 seconds.

8.72 gallons

9.92 gallons

6.96 gallons

7.51 gallons

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Gasoline is being pumped into a car. The rate that the gas is being pumped is given in the table at selected times. Use a left Riemann Sum with 3 equal subintervals to approximate the total gallons of gasoline pumped in the car over the 24 seconds.

8.72 gallons

9.92 gallons

6.96 gallons

7.51 gallons

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