Project #10127 - function

1.       Word-process formulas using Equation Editor and diagrams using Drawing Tool.

 

Problem 1

Given y = f(x) = x2 + 2x +3

a)      Use the definitional formula given below to find the derivative of the function.

b)      Find the value of the derivative at x = 3.

 

 

Problem 2

Given, y = f(x) = 2 x3 - 3x2 + 4x +5

a)      Use the Power function to find derivative of the function.

b)      Find the value of the derivative at x = 4.

 

 

Problem 3

The revenue and cost functions for producing and selling quantity x for a certain production facility are given below.

R(x) = 16x – x2

C(x) = 20 + 4x

a)      Determine the profit function P(x).

b)      Use Excel to graph the functions R(x), C(x) and P(x) for the interval 0≤ x ≤ 12. Copy and paste the graph below. Note: Use Scatter plot with smooth lines and markers.

c)       Compute the break-even quantities.

d)      Determine the average cost at the break-even quantities.

e)      Determine the marginal revenue R’(x).

f)       Determine the marginal cost C’(x)

g)      At what quantity is the profit maximized?

Subject Mathematics
Due By (Pacific Time) 08/04/2013 08:00 pm
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