Name: Feng Gan Date: MTH458SUA (J. Kilislian) - TEST 3 (Applications of Differentiation) (20 Total Points)...

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Name: Feng Gan Date: MTH458SUA (J. Kilislian) - TEST 3 (Applications of Differentiation) (20 Total Points) PLEASE SHOW ALL WORK ON TEST PAPER. 1. Find the absolute extreme values of f(x) = ln(x + x + 1) on the interval [-1, 1] (3 points) 8) Find the intervals of concavity, and identify of e2x - e-2x 2. Evaluate the limit: lim x->0 (3 points) 3ln(x + 1) Name: Feng Gan Date: MTH458SUA (J. Kilislian) - TEST 3 (Applications of Differentiation) (20 Total Points) PLEASE SHOW ALL WORK ON TEST PAPER. 1. Find the absolute extreme values of f(x) = ln(x + x + 1) on the interval [-1, 1] (3 points) 8) Find the intervals of concavity, and identify of e2x - e-2x 2. Evaluate the limit: lim x->0 (3 points) 3ln(x + 1)