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Leya [2.2K]
3 years ago
12

3. Analyze the graph. What is the domain and range of the function?

Mathematics
1 answer:
GREYUIT [131]3 years ago
7 0

Answer:

Domain= [0,oo)

Range= [0,oo)

Step-by-step explanation:

Domain is the amount of the graph that x goes on

Range is the amount of the graph that y goes on

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 <span>The volume of a sphere is V = 4/3 x pi x r^3 

The rind volume is the difference of two spheres. The radius of the inner sphere volume is, r - .1 r or .9 r. So the volume of the rind is 

V = 4/3 x pi x r^3 - 4/3 x pi (.9 r )^3 

V = 4/3 x pi x r^3 - 4/3 x pi x (.9^3) x r^3 

Implicitly differentiating both sides with respect to t yields: 

V' = ( 4 x pi x r^2 x r' ) - ( 4 x pi x (.9^3) x r^2 x r' ) 

This equation define the rate of change of the rind volume with respect to time. 

As defined in the problem, r' = 2 

As well, after 5 weeks the radius will be r = 2 * 5 = 10 

V' = (4 x pi x 10^2 x 2) - (4 x pi x (.9^3) x 10 x 2) 

V' = (800 x pi) - (800 x pi x (.729)) 

V' = (800 x pi) (1 - .729) 

V' = (800 x pi)(.271) 

V' = 681.09 cubic centimeters


I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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