The projected year-end assets in a collection of trust funds, in trillions of do

Question

The projected year-end assets in a collection of trust funds, in trillions of dollars, where t represents the number of years since 2000, can be approximated by the following function where 0sts 50. A(t) = 0.0000284?000450t2 + 0.0682t + 1 89 a. Where is A(t) increasing? b. Where is A(t) decreasing? a. Identify the open intervals for 0sts 50 where A(t) is increasing. Select the correct choice below and, if necessary, fill in the answer box to complete your choice O A. The function is increasing on the interval(s) 0 B. There are no intervals where the function is increasing. b. Identify the open intervals for 0s ts 50 where A(t) is decreasing. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Type your answer in interval notation. Round to the nearest tenth as needed. Use a comma to separate answers as needed.) A. The function is decreasing on the interval(s) (Type your answer in interval notation. Round to the nearest tenth as needed. Use a comma to separate answers as needed) 0 B. There are no intervals where the function is decreasing Click to select and enter your answer(s) Save for Later Copyright 2018 Pearson Education

Explanation / Answer

In order to find any function increasing or decreasing..just find its derivative...and then for increasing..f'(x) > 0 and for decreasing..f'(x) < 0..

Also remember.. For any number a and b..( a > b )

[1] (x - a)(x -b) < 0.. implies.. a < x < b

[2] (x - a)(x - b) >0..implies..x < a..and x > b.

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