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Unformatted text preview: Presentation problem 1. (6 points) ( Thomas , § 1.3 #52) For ≤ θ ≤ 2π , ﬁnd the values of θ that satisfy sin 2 θ = cos 2 θ. Math 1110 (Fall 2011) HW1 2 Presentation problem 2. (6 points) ( Thomas , § 1.1 #64) In the ﬁgure shown below, there is a rectangle inscribed in an isosceles right triangle whose hypotenuse is on the xaxis and is 2 units long. !" " # $ % ' () * ++,) (a) Express the ycoordinate 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 ﬁgure below. It has domain [4,2 ] and range [ 0,4 ] . Please sketch the graph of the function g ( x ) = ( 1 2 f ( x1 ) + 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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 '06
 MARTIN,C.
 triangle, Presentation Problem

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