A college student works for 8 hours without a break, assembling mechanical components. The cumulative number of components she has assembled after h hours can be modeled as
A college student works for 8 hours without a break, assembling mechanical components. The cumulative number of components she has assembled after h hours can be modeled as
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 6ECP: The resistance of a copper wire carrying an electrical current is directly proportional to its...
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A college student works for 8 hours without a break, assembling mechanical components. The cumulative number of components she has assembled after h hours can be modeled as
q(h) =
components.
| 68 |
| 1 + 11.77e−0.654h |
(Note: Use technology to complete the question.)
(a) When was the number of components assembled by the student increasing most rapidly? (Round your answer to three decimal places.)
___ hours
(b) How many components were assembled at that time? (Round your answer to one decimal place.)
(b) How many components were assembled at that time? (Round your answer to one decimal place.)
___ components
What was the rate of change of assembly at that time? (Round your answer to three decimal places.)
___ components per hour
What was the rate of change of assembly at that time? (Round your answer to three decimal places.)
___ components per hour
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