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The functions
{sinmx; cosmx}; m = 0,....∞
form a complete set over the interval x ∈ [ -Π, Π]. That is, any function f(x) can be expressed as a linear superposition of these with a unique set of coecients. For f(x) = x, we have
To show that the above holds for x = 1, study the dierence between the left- and right-hand sides of the equality as a function of the number of terms included in the sum. Write an octave program to compute and plot the truncated sum approximation (expansion vs x) for n =4 and 16 together with the function x. Make a table showing the error (dierence between two sides) for n =1, 2, 4, 16, 64, 256, 1024. Plot the result of the expansion for 2 values of n together with the original function. Comment on your results. You should submit an octave script or function le I can use to reproduce your results and a separate document (plain text le preferred) for your comments.
verify liouville''s theorem for y''''''-y''''-y''+y=0
The next special form of the line which we have to look at is the point-slope form of the line. This form is extremely useful for writing the equation of any line. If we know that
Rules of Integration 1. If 'k' is a constant then ∫Kdx = kx + c 2. In
Find the probability of drawing a diamond card in each of the two consecutive draws from a well shuffled pack of cards, if the card drawn is not replaced after the first draw
A jet flew at an average speed of 480mph from Point X to Point Y. Because of head winds, the jet averaged only 440mph on the return trip, and the return trip took 25 minutes longer
the size of my sitting room is 7metres by 6metres . i bought a rug for covering the centre of its floor. one metre of the floor around the edge of the room is not to be covered by
High temperatures in certain city in the month of August follow uniform distribution over the interval 60-85 F. What is probability that a randomly selected August day has a Temper
how can you determine trasportation schedule that minimizes cost
A reaction following first-order kinetics was studied by determining the reactant concentrations at equal time intervals. Each successive pair of concentrations, [A] o and [A] 1
rectangles 7cm by 4cm
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