HW_5_2_mod

# HW_5_2_mod - a = 8 b = 16 c = 24 d = 32 Student Name: 6)...

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Student Name: Sections 5.2 (Due: Thursday, 11/15) Description : This homework will help you understand a precise definition of a definite integral, the concept of “area” vs “SINGED area” and the geometric properties of definite integrals. Show all work to get full credit. 1) The graph of a function f is given. Consider the integral I when answering the following questions. (a) Estimate the integral I using four subintervals with right endpoints. R 4 = (b) Estimate the integral I using four subintervals with left endpoints. L 4 = (c) Estimate the integral I using four subintervals with midpoints. M 4 = 2) Express the limit of Riemann sums as a definite integral on the given interval. 3) Express the limit of Riemann sums as a definite integral on the given interval. 4) Express the integral as a limit of Riemann sums. Do not evaluate the limit. 5) The graph of f is shown. Evaluate each integral by interpreting it in terms of areas.

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Unformatted text preview: a = 8 b = 16 c = 24 d = 32 Student Name: 6) Evaluate the integral by interpreting it in terms of areas. 7) Evaluate the integral by interpreting it in terms of areas. 8) Evaluate the integral by interpreting it in terms of areas. 9) Given. Evaluate. 10) Given. Use this fact and the properties of integrals to evaluate the given integral. 11) Given. Student Name: Use this result and the properties of integrals to evaluate the given integral. 12) The following facts are known. Use these, together with the properties of integrals to evaluate the given integral. 13) Write the given expression as a single integral in the following form. 14) You are given the following information. Find the integral. 15) You are given the following information. Find the integral. 16) The function f ( x ) is given. Find the integral....
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## This note was uploaded on 05/23/2011 for the course MAC 2311 taught by Professor Noohi during the Fall '08 term at FSU.

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HW_5_2_mod - a = 8 b = 16 c = 24 d = 32 Student Name: 6)...

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