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Find, without calculation, which terms will be present in the Fourier series for the periodic functions f ( t ), of period T , that are given in the range - T / 2 to T / 2 by:
(a) f ( t ) = 2 for 0 ≤ | t | T / 4 , f = 1 for T / 4 ≤ | t | T / 2;
(b) f ( t ) = exp[-( t - T / 4) 2 ];
(c) f ( t ) = -1 for - T / 2 ≤ t -3 T / 8 and 3 T / 8 ≤ t T / 2 ,f ( t ) = 1 for
- T / 8 ≤ t T / 8; the graph of f is completed by two straight lines in the remaining ranges so as to form a continuous function.
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A polygon has an area of 100 square inches and one of its sides is 20 inches long. If a second similar polygon has an area of 36 square inches, what is the length of the corresponding side in the second polygon?
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Let f(z)=u+iv be an analytic function, phi(u,v) any function with second order partial derivatives and g(u,v) any function with first order partial derivatives.
the length of a rectangle is 3m less than double the width and the area of the rectangle is 27m2. find the dimension of
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in the 2010 winter olympics germany canada and the united states won a combined total of 93 medals. germany won seven
A container initially contains 200 gallons of pure water. a salt solution of concentration 4 pounds per gallon enters at rate of 2 gal/min, and the well stirred mixture leaves at a rate of 3 gal/min. find the number of pounds of salt in the contai..
What are extraneous solutions of an equation? Why do they sometimes occur in the process of solving rational or radical equations?
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