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optimization

Authored by Jorge Batrez

Mathematics

9th - 12th Grade

CCSS covered

Used 3+ times

optimization
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12 questions

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1.

MATH RESPONSE QUESTION

15 mins • 1 pt

The surface are of a SOLID cylinder is 200π.

Write the volume equation of the cylinder. you 'x' for radius

Mathematical Equivalence

ON

2.

MATH RESPONSE QUESTION

15 mins • 1 pt

Mathematical Equivalence

ON

3.

MATH RESPONSE QUESTION

15 mins • 1 pt

The surface are of a SOLID cylinder is 200π.

3rd part

Find the radius needed to maximizes the volume

Mathematical Equivalence

ON

4.

MATH RESPONSE QUESTION

15 mins • 1 pt

The surface are of a SOLID cylinder is 200π.

last part

what is the maximum volume a solid cylinder with a surface area of 200π can have.

Mathematical Equivalence

ON

5.

MATH RESPONSE QUESTION

15 mins • 1 pt

A duck farmer wishs to build a rectangular enclosure of area 100m2 . The famer must purchse wire netting for three of the sides, as the fourth side is an existing fence. Naturally, the farmer wishes to minimise the length (and therefore cost) of fencing required to complete the job.

If the sides adjacent to the existing fence have length x m, Write the equation for the length of wire netting to be purchased.

(in paper it will be L =, and we will use L for the following problems )

Mathematical Equivalence

ON

6.

MATH RESPONSE QUESTION

15 mins • 1 pt

Mathematical Equivalence

ON

7.

MATH RESPONSE QUESTION

15 mins • 1 pt

A duck farmer wishs to build a rectangular enclosure of area 100m2 . The famer must purchse wire netting for three of the sides, as the fourth side is an existing fence. Naturally, the farmer wishes to minimise the length (and therefore cost) of fencing required to complete the job.

part c)

Find the minimum length of fencing needed to have an area of 100 m2

Mathematical Equivalence

ON

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