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Authored by Venkata Rachakulla

Mathematics

12th Grade

Used 3+ times

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11 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Oil spilled from a tanker spreads in a circle whose circumference increases at a rate of 40 ft/sec. How fast is the area of the spill increasing when the circumference of the circle is 100π ft?

What rate is given in the problem?

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the derivative of circumference with respect to time?

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Oil spilled from a tanker spreads in a circle whose circumference increases at a rate of 40 ft/sec. How fast is the area of the spill increasing when the circumference of the circle is 100π ft?

What is the length of the radius when the circumference is 100π ft?

cannot be determined

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Oil spilled from a tanker spreads in a circle whose circumference increases at a rate of 40 ft/sec. How fast is the area of the spill increasing when the circumference of the circle is 100π ft?

At what rate is the radius changing when the circumference is 100π ft?

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Oil spilled from a tanker spreads in a circle whose circumference increases at a rate of 40 ft/sec. How fast is the area of the spill increasing when the circumference of the circle is 100π ft?

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Rachel is standing on a 13 ft ladder. The ladder is leaning against a vertical wall. The ladder starts sliding away from the wall at a rate of 3 ft/sec. How fast is the ladder sliding down the wall when the top of the ladder is 5 ft high?

3 ft/sec

-7.2 ft/sec

7.2 ft/sec

12

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

A spherical snowball melts so that its radius decreases at a rate of 4 in/sec. At what rate is the volume of the snowball changing when the radius is 4 in?

-262π in3/sec

-247π in3/sec

-256π in3/sec

-263π in3/sec

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