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PRECALCULUS SUPPLEMENTARY VI

# PRECALCULUS SUPPLEMENTARY VI - AP CALCULUS PRECALCULUS...

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AP CALCULUS PRECALCULUS SUPPLEMENTARY VI Problems : 1) From a rectangular piece of cardboard having dimensions a cm = 3 and b cm = 7 , an open box is to be made by cutting out an identical square with side length x from each corner and turning up the sides (see diagram below). Which of the following choices gives the correct equation of the volume V of the box as a function of x ? A) ( ) ( )( ) V x x x x = 3 7 B) ( ) ( )( ) V x x x x = 3 2 7 2 C) ( ) ( )( ) V x x x = 3 2 7 2 D) ( ) ( )( ) V x x x x = 2 3 7 E) ( ) ( )( ) V x x x x = 4 3 7 2) Let ( ) f x x x k = + + 2 3 . If ( ) f x is divisible by ( ) x 1 , then what is the remainder when ( ) f x is divided by ( ) x + 1 ? 3) Let ( ) f x x x kx = + + + 3 2 8 3 and ( ) g x x = + 4 1 2 . When each of these respective functions is divided by ( ) x + 2 , their remainders are equal. What is the value of k ?

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