FOR CHILDREN

PROBLEM # 1
Simplify   (6x^-1)^2  / (3^-3 x^2)^-1

FOR GROWNUPS

PROBLEM # 2
Determine the equation of the line tangent to the curve
y = cos(sqrtx) at x = (pi/4)^2.

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SOLUTIONS TO PROBLEMS ON 06/29/06

FOR CHILDREN

PROBLEM # 1
Glenn and Jason each have a collection of cricket balls. Glenn said that if Jason would give him 2 of his balls they would have an equal number; but, if Glenn would give Jason 2 of his balls, Jason would have 2 times as many balls as Glenn. How many balls does Jason have?

SOLUTION
Jason - 14, Glenn - 10.

FOR GROWNUPS

PROBLEM # 2
A kite flies at a constant altitude of 400 feet. The kite is being blown horizontally at a rate of 10 feet/second away from the person holding the string at ground level. At what rate is the string being payed out when  500 feet of string is already out?

SOLUTION
6.06 feet/second. 

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