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Unformatted text preview: Home > My Assignments > Section 5.1 (Review) (Homework) About this Assignment SMALL BRIAN DIXON MA 241, section 009, Fall 2005 Instructor: Drew Pasteur North Carolina State University Due: Wednesday, August 24, 2005 11:03 PM EDT Description Areas and Distances Current Score: 7.5 out of 8.5 Question Score pts 1 1/1 2 1/1 3 1/1 4 0.5/0.5 5 0.5/0.5 6 0.5/0.5 4.5/4.5 Viewing: Last Response View: All Responses Notes subs 1/20 1/20 1/20 2/20 1/20 3/20 1. [SCalcCC2 5.1.02.] You are given the graph of the following function. (a) Use six rectangles to find estimates of each type for the area under the given graph of f from x = 0 to x = 12. (i) L6 (sample points are left endpoints) 86.4 [86.6] (ii) R6 (sample points are right endpoints) 70.4 [70.6] (iii) M6 (sample points are midpoints) 80 [79.4] (b) Is L6 an underestimate or overestimate of the true area? (_) (_) underestimate (o) (o) overestimate (c) Is R6 an underestimate or overestimate of the true area? (o) (o) underestimate (_) (_) overestimate (d) Which of the numbers L6, R6, or M6 gives the best estimate? (_) (_) L6 (_) (_) R6 (o) (o) M6 pts 1 1/1 2 0.5/0.5 3 1/1 4 0.5/0.5 2. [SCalcCC2 5.1.04.] (a) Estimate the area under the graph of f(x) = 25 - x2 from x = 0 to x = 5 using five approximating rectangles and right endpoints. 70 [70] Sketch the graph and the rectangles. (Do this on paper. Your 3/3 teacher may ask you to turn in this work.) Is your estimate an underestimate or an overestimate? Viewing: Last Response (o) (o) underestimate (_) (_) overestimate subs 2/20 1/20 2/20 2/20 View: All Responses Notes (b) Estimate the area using left endpoints. 95 [95] Sketch the graph and the rectangles. (Do this on paper. Your teacher may ask you to turn in this work.) Is your estimate an underestimate or an overestimate? (_) (_) underestimate (o) (o) overestimate 3. [SCalcCC2 5.1.14.] The velocity graph of a car accelerating from rest to a speed of 120 km/h over a period of 30 seconds is shown. Estimate the distance traveled during this period. 43.499 [0.725] km pts subs 1 0/1 2/20 0/1 Viewing: Last Response View: All Responses Notes Home My Assignments ...
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