Related Rates, Word Problems

Flashcard
•
Mathematics
•
12th Grade
•
Hard
+2
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a related rates problem?
Back
A related rates problem involves finding the rate at which one quantity changes in relation to another quantity that is also changing, often using derivatives.
2.
FLASHCARD QUESTION
Front
Define the volume of a cone formula.
Back
The volume V of a cone is given by the formula V = (1/3)πr²h, where r is the radius and h is the height.
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
3.
FLASHCARD QUESTION
Front
How do you find the rate of change of the height of water in a conical tank?
Back
Use the formula for the volume of a cone and apply implicit differentiation with respect to time.
4.
FLASHCARD QUESTION
Front
What is the formula for the volume of a cylinder?
Back
The volume V of a cylinder is given by V = πr²h, where r is the radius and h is the height.
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
5.
FLASHCARD QUESTION
Front
How do you determine the rate of change of the radius of a spherical balloon?
Back
Use the formula for the volume of a sphere and apply implicit differentiation with respect to time.
6.
FLASHCARD QUESTION
Front
What is the volume of a sphere formula?
Back
The volume V of a sphere is given by the formula V = (4/3)πr³, where r is the radius.
Tags
CCSS.8.G.C.9
CCSS.HSG.GMD.A.3
7.
FLASHCARD QUESTION
Front
If water is flowing into a tank, what is the relationship between the volume and the height of the water?
Back
The volume of water in the tank is a function of the height, which can be expressed using the tank's geometric formula.
Tags
CCSS.HSF.IF.A.2
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