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MATH 211 Final: MATH 211 NIU f02Final

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turquoisegnu128

15 Feb 2019

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Be neat, clear, and brief: (30 points) find the derivative of each of these functions. You do not need to simplify your answers. (a) f (x) = x4. 4x)2 (c) f (x) = x2 ln x . 1 + x2 page 1 page 2 page 3 page 4 page 5 page 6. Math 211 final exam page 2 of 6: (15 pts) find the following limits algebraically. (a) lim x 5 x2. 4 x2: (20 pts) find the relative maximum and relative minimum points of f (x) = x3 + 3x 2. Graph the function f (x), using your knowledge of calculus. y. 12/13/02: (30 pts) find the following integrals. Math 211 final exam page 3 of 6 (a) z (x4. ) dx = (c) z x2 x3 + 1 dx : (15 pts) find the area bounded by the curves y = x2 and y = x + 2. First sketch the graphs of the curves. y.

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