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Category > Calculus Posted 10 Jul 2017 My Price 8.00

Find (without using a calculator) the absolute extreme values

1.

Find (without using a calculator) the absolute extreme values of the function on the given interval.f(x) = x3 − 27x on [−4, 4]

absolute min     

absolute max    

 

 

2.

Find (without using a calculator) the absolute extreme values of the function on the given interval.f(x) = x4 + 8x3 + 10x2 on [−5, 1]

absolute min    absolute max    

 

 

3.

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

 where x is the driving speed (in miles per hour, 20 ≤ x ≤ 60).

 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 sell 100 tickets per day. It estimates that each $10 price reduction will result in 50 more 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 be 1800 square 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 driveway ft 

length perpendicular to the driveway     ft

Find the minimum cost.

$ 

Answers

(15)
Status NEW Posted 10 Jul 2017 12:07 AM My Price 8.00

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