Mathematics
12th Grade
CCSS covered
Used 3+ times
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11 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A closed rectangular shipping box with square base is to be made from 120 square inches of cardboard. What dimensions should the box be for maximum volume?
Choose the equations that represent the problem.
and
and
and
and
2.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
A rectangular page is to contain 144 sq. inches of print. The margins on each side are 1 inch. Find the dimensions of the page that would use the least paper.
Choose the equations that represent the problem.
xy=144 and A=(x+1)(y+1)
(x+1)(y+1)=144 and A=xy
xy=144 and A=(x+2)(y+2)
(x+2)(y+2)=144 and A=xy
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A rectangle is bounded by the x-axis and the parabola . What length and width should the rectangle have so that its area is a maximum?
Given the constraint equation above and the optimization equation , choose the DERIVATIVE of the combined equation that would be used in the problem.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Farmer Jo has 32 square feet of land in which to make an enclosure for bunnies, chicks, and penguins. (see picture)
Choose the equation that represents this information.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
same question, now solve it and answer the question:
Farmer Jo has 32 square feet of land in which to make an enclosure for bunnies, chicks, and penguins. There will be fencing put in around the entire enclosure and in the middle (as pictured) to create 3 sections, what dimensions should the overall enclosure be in order to use the least amount of fence?
The overall enclosure should be 8 feet by 8 feet
The overall enclosure should be 8 feet by 4 feet
The overall enclosure should be 32 square feet
The overall enclosure should be feet on each dimension
6.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
The volume of a cylindrical tin can with a top and a bottom is to be 16π cubic inches. If a minimum amount of tin is to be used to construct the can, what must be the height, in inches, of the can? Scan a copy of your work and email it. Only Calculus solutions will be accepted.
2 3√2
2√2
4
2 3√4
7.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
We need to enclose a field with a fence. We have 500 feet of fencing material and a building is on one side of the field so we won't need any fencing on that side. Determine the dimensions of the field that will enclose the largest area. Scan a copy of your work and email it. Only Calculus solutions will be accepted.
x=250 ft, y=125 ft
x=150 ft, y=200 ft
x=125 ft, y=100 ft
x=200 ft, y=150 ft
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