MATH 1501 Midterm: test2_1501_Fall2012.pdf

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7 Dec 2012
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Math 1501 k1-k4 l1-l4 test 2 total: 20 points. ); (2 points). x+2 . f (x) takes on local minima at x = ( ); f (x) takes (1. 6) f (x) = x4(x 5) has the point(s) of in ection at x = ( point). (1 (1. 7) f (x) = (|x + 1|)1/3. Determine whether or not the graph of f has a vertical tangent or vertical cusp at x = 1. (1 point). 1 (1. 8) the linearization of f (x) = (4 + 3x)1/3 at x = 0 is ( point). (1 (1. 9) a spherical balloon is in ated with helium at the rate of 100 ft3/min. How fast is the balloon"s radius increasing at the instant the radius is 5ft. If the radius of the balloon increases 1% from 5ft, use a di erential to estimate the percentage increase of the volume of the balloon.