MAC 2311 Midterm: MAC2311 S09 Test 4
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Ex x + 3x2 (a) lim x (b) lim x 2. X x 2 (2) (30 pts. ) Find f (x). (a) f (x) = 7e3x+2 + ln(x2 + 1) tan(2x) + X x2 + 3x + 7 (c) f (x) = e3x sin 5x. Find f (x). f (x) = (sin x)x2 (4) (10 pts. ) For the function f (x) = f (a) = lim x a f (x) f (a) x a. , nd f (3) by evaluating the limit. Calculus 1 page 3 x 1 x (5) (20 pts. ) Classify each as a maximum or minimum. (h) the in ection points. (i) sketch the graph of y = f (x) Find the maximum and minimum values of f (x) = 12x3. 12x 5 on the interval [0, 5]. page 5. Evaluate the de nite integral z 2 of riemann sums. (2 x2)dx as the limit lim n . Evaluate the integrals. (a) z 4 + x2 x3.
