Question # 1: Find the cubic model that best fits the data. Then, find the First Derivative (dy/dx), Slope (m) at x

=

1 using

dy/dx, and Equation of the Tangent Line at x

=

1. You can use a graphing calculator to obtain the cubic equation and other

information.

1) The table shows the number of hours of preparation for a test and test scores for eight

randomly selected students.

Hours of preparation Test score

hourts of prep test score

1 25

1.5 24

2 27

2.5 28

3 31

3.5 35

4 32

4.5 34

Question # 2: Solve the problem.

2) A population grows from an initial size of 80,000 people to an amount P(t), given by

P(t)

= 80,000(1 + 0.3t +

t2), where t is measured in years from 1987. How rapidly is the

growth rate of the population increasing t years from 1987?

Question # 3: Evaluate.

3)

ʃ

t2 ln (t3 + 6)/t3 +

6 dt

Subject | Mathematics |

Due By (Pacific Time) | 06/04/2013 03:05 pm |

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