Differentiable Function

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Taylor Expansion

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Let f be a bounded function on [a, b] with finitely many discontinuous points. Prove that f is Riemann integrable.

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Mean, Median, Mode and Standard Deviaton

hello again.. need help with the folowing problems. 1. suppose you have administered a test of manual dexterity to two groups of 10 semi skilled workers. one of these two groups of workers will be employed by you to work in a ware house with many fragile items. the higher the manual dexterity of a worker the less likelyhood that worker wil break significant inventory.Because of a unique contract you must hire all 10 employees from one of the two groups and none from the other. GROUP A= 98, 85, 30, 66, 99, 95, 57, 62, 99, 100 GROUP B= 64, 81, 62, 88, 82, 79, 90, 81, 85, 79 Decide wich group to choose? consider at least two measures of central tendancy and at least one measure of dispers... click for more

Expand the following function into Maclaurin Series (see attached file) using properties of the power series.

1.Expand the following function into Maclaurin Series (see attached file) using properties of the power series. 2. The Lagrange interpolation polynomial may be compactly written as is a shape function. Sketch the shape function in a graphic form. 3. Write a forward and backward difference Newton’s interpolation formulas based on the following data. Interpolate the values of y at x = 1.3, 2.5, and 2.7. x y 11.302 21.616 31.954 4. Find the root of the following transcendental equation by the numerical method of your choice 5. Find the following integral by the trapezoidal rule and by the Simpson’s rule. Find the theoretically predicted errors. Compare to the exact value. E... click for more