# P01 - x 4 has been used to model the dependence of R on x where R is measured in square millimeters and x ≥ is measured in appropriate units of

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Project 1 MAC 2311 1. Explain what is meant by Solve this system: x + y = 2 x + y = 10 Solve the system. 2. What do we call the set of all points whose distance from the point ( h,k ) is r ? Derive an equation for the graph using distance formula. Rewrite the following equations by completing squares, and then draw the graphs. Label the points of intersection A and B . x 2 + y 2 - 2 x + 2 y - 8 = 0 x 2 + y 2 - 6 x - 4 y + 8 = 0 In order to ﬁnd an equation of the line through points A and B , a classmate subtracts the two equations to obtain 4 x + 6 y = 16 , and claims to have found the line. Justify or refute this argument.

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3. When the brightness x of a light source is increased, the eye reacts by decreasing the area R of the pupil. The experimental formula R = 40 + 24 x 0 . 4 1 + 4
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Unformatted text preview: x . 4 has been used to model the dependence of R on x , where R is measured in square millimeters and x ≥ is measured in appropriate units of brightness. The equation above is linear in x . 4 . Use this fact to solve for x . Look carefully at the steps involved in solving for x above. You have used equations that are not equivalent. Solve an inequality in order to determine the values of R for which there is a solution ( x,R ) . What seem to be the smallest and largest possible areas R for the pupil? Write the missing coordinates ( x,R ) of the following solutions to the equation: ( 0 , ) ( , 15 ) ( 1 , ) ( , 8 ) ( 243 , )...
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## This note was uploaded on 05/27/2011 for the course MAC 2311 taught by Professor All during the Spring '08 term at University of Florida.

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P01 - x 4 has been used to model the dependence of R on x where R is measured in square millimeters and x ≥ is measured in appropriate units of

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