Consider the function f defined on [0, 1] such that f(0) = 1, f(1) = 3, f(1/5) = f(3/5) = 4, and f(2/5) = f(4/5) = c. Suppose that the approximation of I = S f(x)dx by composite Trapezoidal rule with 5 subintervals is 1.8, then the value of c is: 4 -0.5 O 2 O 0.5

Consider the function f defined on [0, 1] such that f(0) = 1, f(1) = 3, f(1/5) = f(3/5) = 4, and f(2/5) = f(4/5) = c. Suppose that the approximation of I = S f(x)dx by composite Trapezoidal rule with 5 subintervals is 1.8, then the value of c is: 4 -0.5 O 2 O 0.5

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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Question

f'(0) which is:
-0.499998
0.234256
-1.99985
0.249999
Consider the function f defined on [0, 1] such that f(0) = 1, f(1) = 3, f(1/5) = f(3/5) =
4, and f(2/5) = f(4/5) = c. Suppose that the approximation of I = S f(x)dx by
composite Trapezoidal rule with 5 subintervals is 1.8. then the value of c is:
4
-0.5
2
0.5
Use Romberg integration to find an 0(h*) approximation for the following integral
In(x² + 2)dx
O 0.8392

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