1.

Find (withoutusing a calculator) the absolute extreme values of the function on the given interval.f(x) =x³27xon [4,4]

absolute min

absolute max

2.

Find (withoutusing a calculator) the absolute extreme values of the function on the given interval.f(x) =x⁴+8x³+10x²on [5, 1]

absolute minabsolute max

3.

The fuel economy (in miles per gallon) of a certain car isE(x) =0.01x²+0.54x+10.4,

wherexis the driving speed (in miles per hour,20x60).

At what speed is fuel economy greatest?

x=mph

4.

An airline finds that if it prices a cross-country ticket at$400, it will sell100tickets per day. It estimates that each$10price reduction will result in50more tickets sold per day. Find the ticket price (and the number of tickets sold) that will maximize the airline's revenue.

ticket price$number of tickets

5.

A homeowner wants to build, along his driveway, a garden surrounded by a fence.

If the garden is to be1800square feet, and the fence along the driveway costs $6 per foot while on the other three sides it costs only $2 per foot, find the dimensions that will minimize the cost.

length along the drivewayft

length perpendicular to the drivewayft

Find the minimum cost.

$