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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  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  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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