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Unformatted text preview: it’s diameter is 10 cm. 6 5. (15 points) At which points on the curve y = 1 + 40 x 33 x 5 does the tangent line have the largest slope ? 7 6. (20 points) A planet J has a moon E rotating around it in an elliptical orbit. If the planet is assumed to be located at (2 √ 3 , 0), the moon follows the orbit given by x 2 16 + y 2 4 = 1. What is the distance between the moon and the planet when they are closest to each other ? 8 7. (10 points) Find the area under the curve (i.e. evaluate the deﬁnite integral) in the given interval for f ( x ) = sec x (sec x + tan x ) , [0 , π/ 3]. 9...
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 Spring '08
 Winters
 Psychology, Natural satellite, surface area increases

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