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There are many situations which call for the replacement of an integral by a sum, or vice versa. In the former case the highest accuracy is sometimes required. This means that in the expression
the choice of weights wi and knowledge of the error terms are crucial. Thankfully this extreme concern with detail is not necessary for us. We assume that the region under the curve may be replaced by a sequence of contiguous rectangles on equal bases. (Strictly speaking only half the area of the end rectangles should be included in the sum if the trapezoidal or midpoint rules are followed.)
if the sides of a triangle ABC vary in such a way that it''s circum-radius remains constant. prove that, da/cos A+db/cos B+dc/cos C =0
a. Explain the Integrated Circuits? What are the benefits of ICs as compared to standard printed circuits? b. Explain in brief, the various steps included in fabrication of ICs.
A function f(t) is defined as f(t) = p - t for 0 Write down the even extension of f(t) for -p Determine the Fourier cosine series, and hence, calculate the Fourier series approx
A new gantry crane for a metal fabrication shop is to be designed. The designer has proposed the following two different configurations: A. Using only truss elements B. Using the
In an article in Marketing Science , Silk and Berndt investigate the output of advertising agencies. They describe ad agency output by finding the shares of dollar billing volume
given sample A : HAS SIZE 6,MEAN 8,VARIANCE 16 AND SAMPLE B:has size 10,mean 20 and variance 36 .calculate pooled sample variance
for what values of (a,b) does the point P (0,a,b) lie on the line through Q (1,-1,4) and R (2,3,5)?
integral dx/root of sinx using beta and gamma functions
Values from the iteration x = cos(x) are: x 0 = 0.8, x 1 = 0.696707, x 2 = 0.766959, x 3 = 0.720024, x 4 = 0.751790, x 5 = 0.730468. a) Calculate the sequence {y n } fr
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