A snowball is rolling down a hill. As the snowball rolls, it picks up more snow and gets larger. If the radius is increasing at 1cm/min when the radius is 10 cm, how fast is the volume increasing at this time? (Hint: the volume of a sphere is calculated through V = ar³.) Include units in your answer.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: Analyzing Graphs Of Functions
Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
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A snowball is rolling down a hill. As the snowball rolls, it picks up more snow and gets larger.
If the radius is increasing at 1cm/min when the radius is 10 cm, how fast is the volume increasing
at this time? (Hint: the volume of a sphere is calculated through V = ar³.) Include units in your
answer.
Transcribed Image Text:A snowball is rolling down a hill. As the snowball rolls, it picks up more snow and gets larger. If the radius is increasing at 1cm/min when the radius is 10 cm, how fast is the volume increasing at this time? (Hint: the volume of a sphere is calculated through V = ar³.) Include units in your answer.
Use the following table to find f(g(x) · g(x) for x = 1.
start by writing out the
product rule for derivatives, and read the values that you need from the table.
1 2 3 4
f(x)
5 4 3 2
f'(x)
3 5 2 1
g(x)
4 2 5 3
g'(x)
2 4 3 1
Transcribed Image Text:Use the following table to find f(g(x) · g(x) for x = 1. start by writing out the product rule for derivatives, and read the values that you need from the table. 1 2 3 4 f(x) 5 4 3 2 f'(x) 3 5 2 1 g(x) 4 2 5 3 g'(x) 2 4 3 1
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