A spherical balloon is being inflated with air. The radius R, in inches, of the balloon is a function of the volume V, in cubic inches, of air in the balloon. The formula is shown below. R = (34) ¹/3 The volume V is a function of time t, in seconds, and the formula is shown below. V = 1.8 +0.9t (a) Use function composition to find a formula for R as a function of t. R = (b) What is the radius at time t = 6 seconds? (Round your answer to two decimal places.) in
A spherical balloon is being inflated with air. The radius R, in inches, of the balloon is a function of the volume V, in cubic inches, of air in the balloon. The formula is shown below. R = (34) ¹/3 The volume V is a function of time t, in seconds, and the formula is shown below. V = 1.8 +0.9t (a) Use function composition to find a formula for R as a function of t. R = (b) What is the radius at time t = 6 seconds? (Round your answer to two decimal places.) in
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![A spherical balloon is being inflated with air. The radius R, in inches, of the balloon is a function of the volume V, in cubic inches, of air in the balloon. The formula is shown below.
R = (34) ¹/3
The volume V is a function of time t, in seconds, and the formula is shown below.
V = 1.8 +0.9t
(a) Use function composition to find a formula for R as a function of t.
R =
(b) What is the radius at time t = 6 seconds? (Round your answer to two decimal places.)
in](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F372a2d9c-64f0-4fe9-b996-5bda8c7f1a6a%2Ffe282845-9d5a-473b-96da-070363b27cd1%2Fa6q53pf_processed.png&w=3840&q=75)
Transcribed Image Text:A spherical balloon is being inflated with air. The radius R, in inches, of the balloon is a function of the volume V, in cubic inches, of air in the balloon. The formula is shown below.
R = (34) ¹/3
The volume V is a function of time t, in seconds, and the formula is shown below.
V = 1.8 +0.9t
(a) Use function composition to find a formula for R as a function of t.
R =
(b) What is the radius at time t = 6 seconds? (Round your answer to two decimal places.)
in
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