The function f(x) = -8x+24 is defined on the interval [0, 3]. Complete parts (a) through (f) below. (a) Graph f. Choose the correct graph below. O A. O B. www G (b) Approximate the area A under f from 0 to 3 by partitioning [0, 3] into three subintervals of equal length and choosing u as the left endpoint of each subinterval. O C. (Type an integer or decimal rounded to two decimal places as needed.) (c) Approximate the area A under f from 0 to 3 by partitioning [0, 3] into three subintervals of equal length and choosing u as the right endpoint of each subinterval. (Type an integer or decimal rounded to two decimal places as needed.) (d) Approximate the area A under f from 0 to 3 by partitioning [0, 3] into six subintervals of equal length and choosing u as the left endpoint of each subinterval. (Type an integer or decimal rounded to two decimal places as needed.) (e) Approximate the area A under f from 0 to 3 by partitioning [0, 3] into six subintervals of equal length and choosing u as the right endpoint of each subinterval. (Type an integer or decimal rounded to two decimal places as needed.) (f) What is the actual area A? A (Type an integer or decimal rounded to two decimal places as needed.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The function f(x) = -8x+24 is defined on the interval [0, 3]. Complete parts (a) through (f) below.
(a) Graph f. Choose the correct graph below.
OA.
OB.
Q
(b) Approximate the area A under f from 0 to 3 by partitioning [0, 3] into three subintervals of equal length and choosing u as the
left endpoint of each subinterval.
O C.
(Type an integer or decimal rounded to two decimal places as needed.)
(c) Approximate the area A under f from 0 to 3 by partitioning [0, 3] into three subintervals of equal length and choosing u as the
right endpoint of each subinterval.
0
(Type an integer or decimal rounded to two decimal places as needed.)
Q
(Type an integer or decimal rounded to two decimal places as needed.)
(d) Approximate the area A under f from 0 to 3 by partitioning [0, 3] into six subintervals of equal length and choosing u as the left
endpoint of each subinterval.
(Type an integer or decimal rounded to two decimal places as needed.)
(f) What is the actual area A?
(e) Approximate the area A under f from 0 to 3 by partitioning [0, 3] into six subintervals of equal length and choosing u as the right
endpoint of each subinterval.
A=
(Type an integer or decimal rounded to two decimal places as needed.)
Transcribed Image Text:The function f(x) = -8x+24 is defined on the interval [0, 3]. Complete parts (a) through (f) below. (a) Graph f. Choose the correct graph below. OA. OB. Q (b) Approximate the area A under f from 0 to 3 by partitioning [0, 3] into three subintervals of equal length and choosing u as the left endpoint of each subinterval. O C. (Type an integer or decimal rounded to two decimal places as needed.) (c) Approximate the area A under f from 0 to 3 by partitioning [0, 3] into three subintervals of equal length and choosing u as the right endpoint of each subinterval. 0 (Type an integer or decimal rounded to two decimal places as needed.) Q (Type an integer or decimal rounded to two decimal places as needed.) (d) Approximate the area A under f from 0 to 3 by partitioning [0, 3] into six subintervals of equal length and choosing u as the left endpoint of each subinterval. (Type an integer or decimal rounded to two decimal places as needed.) (f) What is the actual area A? (e) Approximate the area A under f from 0 to 3 by partitioning [0, 3] into six subintervals of equal length and choosing u as the right endpoint of each subinterval. A= (Type an integer or decimal rounded to two decimal places as needed.)
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