D Pathways lMathAS Assess x Precalculus question I Che X C https:// mathas ratio
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D Pathways lMathAS Assess x Precalculus question I Che X C https:// mathas rationalreasoning.net/assessment/showtest.php?action skip&to; 11 book ks b rt book Jeremee Hemphill Home Murdock Precalc 013 Assessment M3 4b Homework Due Wed 04/27/2016 59 pm Show Intro Instructions Aubrey inflates a spherical bubble so that its volume increases by a constant rate of 200 cubic centimeters per second. ote that the volume of a sphere, V is given by Question V Tr where r represents the radius of the sphere.) a. Define a function, f, that gives the radius of the bubble (in centimeters) as a function of the bubble's volume, V. (in cubic centimeters Preview Q 5 (0.4/1) b. Define a function g that expresses the bubble volume, V, (in cubic centimeters) as a function of the number of seconds, t, since Aubrey began to inflate the bubble. Preview Q 8 (0.7/1) c. Use your functions from (a) and (b) to define a function h that presses the bubble's radius centimeters) as a (in function of the number of seconds, t, since Au began to inflate the bubble. Q 10 [1/1 Preview Q 11 (0.8/1) Q 12 (0/1) Q 13 (0/1) Points possible: 1 Q 14 (0/1) Unlimited attempts. Post this question to forum Q 15 (0/1) Q 16 [1/1 Q 17 (0/1) Submit Q 18 (0/1) Grade: 10.9/18 Print Version 2:57 PM 4/26/2016Explanation / Answer
a)V=(4/3)pi r3
r3=(3V)/(4pi)
r=(31/3V1/3)/(4pi)1/3
f=(31/3V1/3)/(4pi)1/3
b)v=g =200t
c)h=(31/3(200t)1/3)/(4pi)1/3
h=(1501/3t1/3)/pi1/3
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