Project #7320 - calculus 3 questions

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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