MAC101_Review_Chap_3_4.pdf - MAC101 Review Chapter 3 4 9 Estimate the area under the graph of f(x = x x2 from x =-1 to x = 5 using 3 rectangles and left

MAC101_Review_Chap_3_4.pdf - MAC101 Review Chapter 3 4 9...

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MAC101 - Review Chapter 3+4 1. Find absolute min value of F(t) = t 2 (1-t) 3 on [0, 2] A. -4 B. 0 C. -1.5 D. -2 2 . Let f(x) = x 4 +20x. Find inflection points. A. (0, 0) B. No C. (1, 21) D. (-1, -19) 3 . Verify that f(x) satisfies the hypotheses of Rolle’s Theorem, and find all numbers c. f(x) = e sinx , [0, π ]. A. π/2 B. 0 C. π D. No 4 . Let f(2) = 1 and f ’(x) ≥ 3 for 2 ≤ x ≤ 5. How small can f(5) possibly be? A. 11 B. 4 C. 10 D. 5 5 . Find the minimum of the product of 2 numbers with the property that the first is 1 more than twice the second. A. -1/8 B. 8 C. -8 D. 1/8 6 . Find the shortest distance from the point (2, 1/2) to the parabol y = x 2 . A. 3/4 B. 5/4 C. 2 / 3 D. 2 / 5 7 . Use Newton method to find x 3. x 3 +x-4=0, given x 1 = -1. A. -1.53 B. 2.4286 C. 2.13 D. 2.55 8 . A particle is moving with the accerelation a(t) = sin t-3cos t. Given that s(0)=0 and v(0) = 0. Find s( ). A. π -6 B. π C. 3- π D. π+6 B ộ môn Toán, ĐH FPT Hà Nộ i 9 . Estimate the area under the graph of f(x) =
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