Construct and simplify a sum approximating the area above the x-axis and under the curve y = x² between x = 0 and x = 3 by using n rectangles having equal widths and tops lying under or on the curve. Find the actual area as a suitable limit. Select one: a. C. 3(n+1)(2n+1) n² b. 9(n+1)(2n+1) 2n² e. area = 6 square units , area = 9 square units -, area = 6 square units , area = 9 square units 3(n-1)(2n-1) n² d. 9(n-1)(2n-1) 2n² 9(n-1) 2n area 9 square units
Construct and simplify a sum approximating the area above the x-axis and under the curve y = x² between x = 0 and x = 3 by using n rectangles having equal widths and tops lying under or on the curve. Find the actual area as a suitable limit. Select one: a. C. 3(n+1)(2n+1) n² b. 9(n+1)(2n+1) 2n² e. area = 6 square units , area = 9 square units -, area = 6 square units , area = 9 square units 3(n-1)(2n-1) n² d. 9(n-1)(2n-1) 2n² 9(n-1) 2n area 9 square units
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter61: Areas Of Circles, Sectors, And Segments
Section: Chapter Questions
Problem 50A
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![Construct and simplify a sum approximating the area above the x-axis and under the curve y = x² between x = 0 and
x = 3 by using n rectangles having equal widths and tops lying under or on the curve. Find the actual area as a suitable limit.
Select one:
a.
3(n+1)(2n+1)
n²
-, area = 6 square units
, area = 9 square units
area = 6 square units
, area = 9 square units
b. 9(n+1)(2n+1)
2n²
c. 3(n-1)(2n-1)
n²
d. 9(n-1)(2n-1)
2n²
e. 9(n-1)
2n
, area = 9 square units](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2c4d7c99-5f48-4c5b-a103-ebdb1d00bc36%2F5e562483-3c9d-4c97-8e4f-d08949c22fa5%2Fk8unc5k_processed.png&w=3840&q=75)
Transcribed Image Text:Construct and simplify a sum approximating the area above the x-axis and under the curve y = x² between x = 0 and
x = 3 by using n rectangles having equal widths and tops lying under or on the curve. Find the actual area as a suitable limit.
Select one:
a.
3(n+1)(2n+1)
n²
-, area = 6 square units
, area = 9 square units
area = 6 square units
, area = 9 square units
b. 9(n+1)(2n+1)
2n²
c. 3(n-1)(2n-1)
n²
d. 9(n-1)(2n-1)
2n²
e. 9(n-1)
2n
, area = 9 square units
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