Numerical Analysis-Inverse Interpolation (ISS Statistics Paper I (Old Subjective Pattern)): Questions 1 - 2 of 2

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Question number: 1

» Numerical Analysis » Inverse Interpolation

Appeared in Year: 2015

Essay Question▾

Describe in Detail

Compute the value of 45.2lnxdx by Simpson’s 1/3 rd rule. Given that ln4.0 = 1.39, ln4.2 = 1.43, ln4.4 = 1.48, ln4.6 = 1.53, ln4.8 = 1.57, ln5.0 = 1.61, ln5.2 = 1.65

Explanation

So, the seven ordinates of the integrand using Simpson’s rule is

abf(x)dxh3(y0+4y1+2y2+4y3+2y4+4y5+y6)… (111 more words) …

Question number: 2

» Numerical Analysis » Inverse Interpolation

Appeared in Year: 2014

Essay Question▾

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Given the following values of the function y = f (x); evaluate f (4) and also find x for which f (x) = 25.

f (1) = 10, f (2) = 15, f (3) = 42.

Explanation

Given that y = f (x), So

x 1 2 3 4

y 10 15 42?

To find the missing value, we use binomial expansion method. Here 3 values are known, we would take third order finite difference zero. Thus,

3y0=0

y33… (253 more words) …

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