For The Mathematically Inclined

For The Mathematically Inclined

Anil Saigal
11/24/2009

PROBLEM # 1
Find the slope of the line 5x - 5y = 7.

PROBLEM #2
A semicircle has "corners" on two concentric circles, tangent to the smallest (Figure 1 on right). What is its radius?

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Problems from 11/12/09

PROBLEM # 1

What is the area of a quadrilateral with nodes located at (0,0), (2,4), (5,7) and (6,0)?

You need to make a pizza box. You know that the box needs to be two inches deep, it needs to be a square, and have a volume of 512 cubic inches. What is the size of the original cardboard sheet?

SOLUTION
24.

PROBLEM #2

Find the volume of a solid bounded by the graph z=8-2x-4y and below by the xy-plane for (x,y) in the unit square

SOLUTION
5.

Congratulations to Sitaram Chandawarkar and Prabhakar Nadkarni, who were the winners of the last set of puzzles.

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Figure 1