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1.

Find (without using a calculator) the absolute extreme values of the function on the given interval.f(x) = x³Â âˆ’ 15x²Â + 48x + 5 on [−1, 2]

absolute min     

absolute max    

 

2.

Find (without using a calculator) the absolute extreme values of the function on the given interval.f(x) = x³Â âˆ’ 27x on [−4, 4]

absolute min    

absolute max    

 

 

3.

Find (without using a calculator) the absolute extreme values of the function on the given interval.f(x) = x⁴ + 8x³Â + 10x²Â on [−5, 1]

absolute min   

 absolute max    

 

 

4.

Find (without using a calculator) the absolute extreme values of the function on the given interval.f(x) = x⁴ + 4x³Â + 13

 on [−4, 1]

absolute min    

absolute max    

   

 

5.

Find (without using a calculator) the absolute extreme values of the function on the given interval.f(x) = x⁴ + 8x³Â + 18

 on [−7, 1]

  

 

6.

Find (without using a calculator) the absolute extreme values of the function on the given interval.f(x) = 2x⁵ − 5x⁴ on [−1, 3] 

absolute min    

absolute max    

 

 

7.

The fuel economy (in miles per gallon) of a certain car is E(x) = −0.01x²Â + 0.52x +10.4,

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

 At what speed is fuel economy greatest?

x =  mph

  

 

8.

Country Motorbikes Incorporated finds that it costs $300 to produce each motorbike, and that fixed costs are $1600 per day. The price function is p(x) = 700 − 5x,

 where p is the price (in dollars) at which exactly x motorbikes will be sold. Find the quantity Country Motorbikes should produce and the price it should charge to maximize profit. Also find the maximum profit.

SuperTutor

(15)

Status NEW Posted 10 Jul 2017 12:07 AM My Price 11.00

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