1.) Find two nonnegative numbers whose sum is 9 and so that the product of one number
and the square of the other number is a maximum.
2.) Build a rectangular pen with three parallel partitions using 500 feet of fencing. What
REPUBLIC ACT NO. 9165
June 7, 2002
AN ACT INSTITUTING THE COMPREHENSIVE
DANGEROUS DRUGS ACT OF 2002, REPEALING
REPUBLIC ACT NO. 6425, OTHERWISE KNOWN AS
THE DANGEROUS DRUGS ACT OF 1972, AS
AMENDED, PROVIDING FUNDS THEREFOR, AND
FOR OTHER PURPOSES
Application: Maxima and Minima
1. The sum of two numbers is k. Find the minimum value of the sum of their squares.
2. A box is to be made of a piece of cardboard 9 in. square by cutting equal squares out
of the corners and turning up the sides. Find the v
1) A point moves along the line
x+ 2 y =2 . Find
a) the rate of change of the y coordinate given that the x coordinate is increasing at the rate
of 4 units per second.
b) the rate of change of the x coordinate given that the y coordinate is
Plane and Spherical Trigonometry
Directions: Write only two problems per page of your short bond paper. Copy the questions first to be followed by
your solution. Show your complete solution and box all final answers.