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kitchen math

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Find parametric equations and a parameter interval for the motion of a particle starting at the point (2, 0) and tracing the top half of the circle $$ x ^ { 2 } + y ^ { 2 } = 4 $$ four times.

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Find the exact radian value. $\\$$\tan ^{-1} 1$

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Nationally the proportion of red cars on the road is 0.12. A statistically minded fan of the Philadelphia Phillies (whose team color is red) wonders if Phillies fans are more likely to drive red cars, One day during a home game, he takes a random sample of 210 cars parked at Citizens Bank Park (the Phillies home field) and counts 35 red cars. Explain why there is some evidence for the alternative hypothesis.

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Carla has beon making a "wlld scape" In her backyard. The table shows the number of birds visiting her feeder at the same hour on the first day of each month since she began her project. Use a polynomlal model to make a reasonable estimate of the number of birds there mlght be in July. Birds at Feeder from 7:00 to 8:00 A.M.: $$ \begin{array}{| l | l |} \hline \text{Jan} & \text{Feb} & \text{Mar} & \text{Apr} & \text{May} & \text{Jun}\\ \hline \text{3} & \text{8} & \text{18} & \text{36} & \text{65} & \text{108}\\ \hline \end{array} $$ Use your graphing calculator to find values for $R^2$. a. For LinReg, $R^2$=_________ . b. For QuadReg, $R^2$=_________ . c. For CubicReg, $R^2$=_________ .

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Advanced Mathematics: An Incremental Development

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