р 1+16x² Graph the function f(x)=- 3 " where p is a unique number assigned by the tutor. P= 1.2 р -dx using: 1+16x² Approximate the integral (i) Trapezoidal Rule for n=-6(subintervals) (ii) Simpson's Rule for n=6(subintervals) (iii) Find the exact value of the integral

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.
Chapter9: Multivariable Calculus
Section9.CR: Chapter 9 Review
Problem 85CR
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Graph the function f(x)=-
Approximate the integral
р
1+16x²¹
3
where p is a unique number assigned by the tutor.
P= 1.2
P
dx using:
+16x²
(i) Trapezoidal Rule for n=6(subintervals)
(ii) Simpson's Rule for n=6(subintervals)
(iii) Find the exact value of the integral
(iv) Compare the error of trapezoidal rule and Simpson's rule.
(v) For what value of n the error will be less than 2.3×10¯ª in:
(a) Trapezoidal Rule (b) Simpson's rule
Transcribed Image Text:Graph the function f(x)=- Approximate the integral р 1+16x²¹ 3 where p is a unique number assigned by the tutor. P= 1.2 P dx using: +16x² (i) Trapezoidal Rule for n=6(subintervals) (ii) Simpson's Rule for n=6(subintervals) (iii) Find the exact value of the integral (iv) Compare the error of trapezoidal rule and Simpson's rule. (v) For what value of n the error will be less than 2.3×10¯ª in: (a) Trapezoidal Rule (b) Simpson's rule
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