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# HW3 - MeeMee is falling from a plane If MeeMee hits the...

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MATH 102, ASSIGNMENT 3 DUE JUNE 2 Problem 1. Let f be the product of two functions, g and h . Given that both g and h have horizontal tangent lines at 2, show that f also has a horizontal tangent line at 2. Problem 2. Compute f 0 ( x ) for each of the following functions: f ( x ) = x p x 2 + 1 , f ( x ) = | 2 x 2 - 1 | 6 , f ( x ) = x 16 - 1 x 4 + 1 Problem 3. Compute f 00 ( x ) for each of the following functions: f ( x ) = p 1 - x 2 , f ( x ) = 2 x x - 1 Problem 4. Let y ( t ) = ( t 1 / 2 + t - 1 / 2 ) 2 . Find y ( 4 ) ( 2 ) . Problem 5. In a secret military experiment not endorsed by PETA, a cute kitten called
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Unformatted text preview: MeeMee is falling from a plane. If MeeMee hits the ground at a speed of 288 km/h (and, amazingly, survives!), ﬁnd the height at which the plane is ﬂying. J-RULE: Just answers - “yes”, “5” - won’t get you full marks, but (correctly) justiﬁed answers - “yes, because. ..”, “(some algebra). .. (sweat sweat) . .. 5” - will. 1...
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