In writing responses to these problems, remember to communicate your mathematics clearly. In Task 2.1 above, we used the following function d(t) to model the probability that a woman will die of breast cancer prior to reaching age t years, where t is between 30 and 85: 1 d(t) = 43 1 x (t – 30)². 552 Note that d(t) simplifies (approximately) to: D(t) = 7.7 x 10-6 × (t – 30)². 1. Give one or more physical reasons why D(t) is always: A. increasing as t gets larger; and B. increasing at an increasing rate as t gets larger.
In writing responses to these problems, remember to communicate your mathematics clearly. In Task 2.1 above, we used the following function d(t) to model the probability that a woman will die of breast cancer prior to reaching age t years, where t is between 30 and 85: 1 d(t) = 43 1 x (t – 30)². 552 Note that d(t) simplifies (approximately) to: D(t) = 7.7 x 10-6 × (t – 30)². 1. Give one or more physical reasons why D(t) is always: A. increasing as t gets larger; and B. increasing at an increasing rate as t gets larger.
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
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Transcribed Image Text:In writing responses to these problems, remember to communicate your mathematics clearly.
In Task 2.1 above, we used the following function d(t) to model the probability that a woman will die of breast cancer prior to reaching age t years, where t is between 30 and 85:
1
1
d(t) =
43
× (t – 30)².
552
Note that d(t) simplifies (approximately) to:
D(t) = 7.7 × 10-6 × (t – 30)².
1.
one or more physical reasons why D(t) is always:
A. increasing as t gets larger; and
B. increasing at an increasing rate as t gets larger.
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