For The Mathematically Inclined

PROBLEM #2

In Figure 2, maximize the volume of the box with sides 12-2x, 10-2x and x.

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Problems from 07/04/13

PROBLEM #1
A car is traveling at 60 mph. It first decelerates at the rate of 10 mph^2
for one one and the accelerates at the rate of 20 mph^2 for 30 minutes.
What is the total distance the car travels during this time?

SOLUTION 1
82.5 miles.

PROBLEM #2
What is the y-intercept of the line that is tangent to the curve
y = -2x^3+3x at (1,1)?

SOLUTION 2
4.

Congratulations to Saba Lateef, who was the winner of the last set of puzzles.