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Major Quiz 5 Solutions: Calculator Portion - Prof. Paula R. Stickles, Quizzes of Calculus

Solutions to major quiz 5, calculator portion, for a mathematics course. It includes problems on finding the dimensions of a rectangular playground with maximum area, determining coefficients for a function with given properties, and finding the dimensions of a poster with minimum total area.

Typology: Quizzes

Pre 2010

Uploaded on 08/04/2009

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MA140-01
4/8/09
Page 1
Major Quiz 5
Calculator Portion
What’s up, ________________________?
Show all your work and explain your answers completely. I cannot give partial credit for answers that are both wrong and
unexplained. Even correct "bottom line" answers that are mysterious and unsupported will not be considered completely correct.
Show me what you are thinking. Try to keep your answers neat and organized so that I can follow them easily.
1.) A rectangular playground is to be fenced off and divided in two by another fence parallel to
one side of the playground. Nine hundred feet of fencing is used. Find the dimensions of the
playground that will enclose the greatest total area.
2.) If
3 2
( )
f x ax bx c x d
= + + +
, determine a, b, c, and d so that
f
will have a
relative extremum at (0, 3) and a point of inflection at (1, -1).
pf2

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MA140- 4/8/ Page 1

Major Quiz 5 Calculator Portion

What’s up, ________________________?

Show all your work and explain your answers completely. I cannot give partial credit for answers that are both wrong and unexplained. Even correct "bottom line" answers that are mysterious and unsupported will not be considered completely correct. Show me what you are thinking. Try to keep your answers neat and organized so that I can follow them easily.

1.) A rectangular playground is to be fenced off and divided in two by another fence parallel to one side of the playground. Nine hundred feet of fencing is used. Find the dimensions of the playground that will enclose the greatest total area.

2.) If 3 2

f ( x )= ax + bx + cx + d , determine a, b, c, and d so that f will have a

relative extremum at (0, 3) and a point of inflection at (1, -1).

MA140- 4/8/ Page 2

3.) A poster is to contain 96 square inches of print and must have 3-inch margins at the top and bottom and 2-inch margins on each side. Find the dimensions of the poster that will have least total area.