Question
1. Find ( without using a calculator) the absolute extreme values of the function on the given interval. f ( x ) = x 3
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.
$
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