1.) Let f be an even function, let g be an odd function, and let h(x)=f(x)+g(x) for all x. If , , and , find the value of each of the following, if possible.

a.)

b.)

c.)

d.)

e.) The average value of f(x) for

2.) A tank which initially contains 225 gallons of water is drained according to the drainage rate information given in the table below.

Time(h) |
0 |
1 |
2 |
3 |
4 |
5 |
6 |

Drainage Rate (gal/h) |
40.9 |
33.5 |
27.4 |
22.5 |
18.4 |
15.1 |
12.3 |

a.) Use a trapezoidal approximation to estimate the amount of water that has been drained during the first six hours.

b.) Assuming that after six hours the water continues to drain at the rate of 12.3 gallons per hour, use your estimate from part (a) to find the total amount of time it takes to drain the tank completely.

c.) Sketch a graph of the given drainage rate data.

d.) Assume that the drainage rate is given by a smooth function r, where the graph of y=r(t) passes through the points you drew in part (c). Tell whether each of your answers to parts (a) and (b) are underestimates or overestimates. Explain.

Subject | Mathematics |

Due By (Pacific Time) | 05/07/2015 12:00 am |

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.. |