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

**Problem 1**

Given y = f(x) = x^{2} + 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 x^{3} - 3x^{2} + 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 – x^{2}

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 |

Tutor | Rating |
---|---|

pallavi Chat Now! |
out of 1971 reviews More.. |

amosmm Chat Now! |
out of 766 reviews More.. |

PhyzKyd Chat Now! |
out of 1164 reviews More.. |

rajdeep77 Chat Now! |
out of 721 reviews More.. |

sctys Chat Now! |
out of 1600 reviews More.. |

sharadgreen Chat Now! |
out of 770 reviews More.. |

topnotcher Chat Now! |
out of 766 reviews More.. |

XXXIAO Chat Now! |
out of 680 reviews More.. |