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Unformatted text preview: Presentation problem 1. (6 points) ( Thomas , 1.3 #52) For 2 , nd the values of that satisfy sin 2 = cos 2 . Math 1110 (Fall 2011) HW1 2 Presentation problem 2. (6 points) ( Thomas , 1.1 #64) In the gure shown below, there is a rectan-gle inscribed in an isosceles right triangle whose hypotenuse is on the x-axis and is 2 units long. !" " # $ % ' () * ++,-) (a) Express the y-coordinate of P in terms of x . (You might start by writing an equation of the line that joints A and B .) (b) Express the area of the rectangle in terms of x . Math 1110 (Fall 2011) HW1 3 Presentation problem 3. (8 points) The graph of f ( x ) is shown in the gure below. It has domain [-4,2 ] and range [ 0,4 ] . Please sketch the graph of the function g ( x ) = -( 1 2 f ( x-1 ) + 3 ) on the same set of axes, and indicate its domain and range in the space provided. !"#$%& $"#$%& !'( $'( !"#$%& Domain ( g ( x )) = Range ( g ( x )) =...
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