1) Let f ( x ) = x4/2- 2x3/3- 2x2 + 3
a) Find the derivative.
b) Find the critical numbers.
2) Giventhat : f ( x ) = x3 + 9 x2 + 6x - 3
Find the critical numbers
Find the interval(s) where the function, f(x) , is increasing and the interval(s) where it is decreasing
3) Let f ( x ) = x2 - 4
Determine the critical number(s).
Determine the absolute extrema on [ 0 , 9 ]
4) Given: f ( x ) = x + 9/x + 2
Find the critical numbers .
Use the second derivative test to determine local exterema .
5) Given f(x) = 2x/( x2 + 1 )
Find the derivative
Find the critical numbers
6) f (x) = 2 x2 + 4000/x + 10
Find the critical number(s) .
Determine the relative extrema
7 )Given: f ( x ) = x + 2 sinx 0 c x c 2u
Find the increasing and decreasing intervals .
Determine relative extrema .
8) f (x) = x + 2 cos (x) 0 < x < 2u
Find the intervals on which f (x) is concave up and concave
Find the inflection point(s) , if any
9 ) If an open box has square base and a volume of 256 in3 and is constructed from a tin Find the dimenstions of the box using the least amount of material.
10) A private shipping company will accept a box for domestic shipment only if the sum of its length and girth (distance around) does not exceed 96 in. What dimensions will give a box with a square end the largest possible volume?
DescriptionIn this final assignment, the students will demonstrate their ability to apply two ma
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1 Project 1 Introduction - the SeaPort Project series For this set of projects for the course, we wish to simulate some of the aspects of a number of
1 Project 2 Introduction - the SeaPort Project series For this set of projects for the course, we wish to simulate some of the aspects of a number of
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