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A) Prove the following theorem by considering two distinct cases. For any integer n, n2 + n is even.
B) If x = r2 - s2 and y = 2rs for any integers r and s, then x2 + y2 = z2 for some nonnegative integer z. State the hypothesis of this sentence and the conclusion. Give a direct proof of the statement
APPLICATIONS OF LAGRANGE''S MEAN VALUE THEORM?
As with the first order system, there is a general differential equation that governs the response of a second order system. The equation is of the form: Where: So
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can you tell me what is the physical intrepetation of convolution theorm or convolution integral?
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 t
A cosmetic store offer at RM245 for a package, consisting of a foundation, a compact powder and a lipstick, which is saving of 15% on the cost of buying the units indiviually. If b
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A research analyst for an oil company wants to develop a model to predict miles per gallon based on highway speed. An experiment is designed in which a test car is driven at speeds
application of mathematics in engineering
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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