Use Simpson's Rule with n = 10 to approximate the area of the surface obtained by rotating the curve about the x-axis. Compare your answer with the value of the integral produced by a calculator or computer. (Round your answers to the nearest whole number.) y=x5 0≤x≤5 Simpson's Rule calculator approximation 521 272734
Use Simpson's Rule with n = 10 to approximate the area of the surface obtained by rotating the curve about the x-axis. Compare your answer with the value of the integral produced by a calculator or computer. (Round your answers to the nearest whole number.) y=x5 0≤x≤5 Simpson's Rule calculator approximation 521 272734
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 43CR
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Hello I am currently working on surface area problems and this one requires the use of simpson's rule to approimxtae the integral. However, I am not sure how I should be setting up the problem in order to get my values to plug into the approimxation formula. I used the initial function to calculate those values for the apromixamtion but that turned out wrong and not sure if I need to take the derivative then plug the step values to get the ones needed for the appromixation calculation.
![By≤ 5/25
CSXS 5 AST X-AXIS
1x = 5.05 ±
5-
77
y= 5(3)x + x4
1+(x4)² →1+x4
Z o s ( x ) J 1 + x d x
S=(6+9()+2(5)+4(2+2)+2(4)+4(5)+2(4+1)+4(4)+2(4)+4(5404) +6325] = 520,435
65
32
f(2) = = (5) 53² (15) = 5/5/5-625
243
-(4)-(1)²=
160
f(3) = = √(375-
40-100
16807
160
5
(3)園)
(3)-(0)- US
(4) = {(9) = 49) = = (475 = 1674
4/2)+ 3(2)=3+ F(2) = 3(2)² +
(1)= /(1) (올)=북
5
5.
100](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8b313955-89cd-4b2a-a000-54fbe962adf3%2Fa67c228c-7096-490e-81cc-31a3e0fa5eff%2Fm0bwpn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:By≤ 5/25
CSXS 5 AST X-AXIS
1x = 5.05 ±
5-
77
y= 5(3)x + x4
1+(x4)² →1+x4
Z o s ( x ) J 1 + x d x
S=(6+9()+2(5)+4(2+2)+2(4)+4(5)+2(4+1)+4(4)+2(4)+4(5404) +6325] = 520,435
65
32
f(2) = = (5) 53² (15) = 5/5/5-625
243
-(4)-(1)²=
160
f(3) = = √(375-
40-100
16807
160
5
(3)園)
(3)-(0)- US
(4) = {(9) = 49) = = (475 = 1674
4/2)+ 3(2)=3+ F(2) = 3(2)² +
(1)= /(1) (올)=북
5
5.
100
Transcribed Image Text:Use Simpson's Rule with n = 10 to approximate the area of the surface obtained by rotating the curve about the x-axis. Compare your answer with the value of the integral produced by a
calculator or computer. (Round your answers to the nearest whole number.)
y = 1x5, 0 ≤ x ≤ 5
Simpson's Rule
calculator approximation
521
×
272734
×
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