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Fourier series - Partial Differential Equations
One more application of series arises in the study of Partial Differential Equations. One of the more generally employed methods in that subject use Fourier Series. Several applications of series, particularly those in the differential equations fields, rely on the fact that functions can be presented like a series. In these types of applications it is very hard, if not impossible, to find out the function itself. Though, there are methods of determining the series representation for the not known function.
Assume E is the event that a randomly generated bit string of length 4 starts with a 1 and F is the event that this bit string consists of an even number of 1's. Are E and F indepe
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Two angles are complementary. The larger angle is 15° more than twice the smaller. Find out the measure of the smaller angle. Let x = the number of degrees in the smaller angle
Define Cofactor of an Element.
If ABCD isaa square of side 6 cm find area of shaded region
Euler Equations - Series Solutions to Differential Equations In this section we require to look for solutions to, ax 2 y′′ + bxy′ + cy = 0 around x0 = 0. These ki
Critical point of exponential functions and trig functions, Let's see some examples that don't just involve powers of x. Example: find out all the critical points for the
Standard errors of the mean The series of sample means x¯ 1 , x¯ 2 , x¯ 3 ........ is normally distributed or nearly so as according to the central limit theorem. This can be
The Stefan-Boltzmann law can be employed to estimate the rate of radiation of energy H from a surface of copper sphere with radius = 0.15 ±0.01 m, as in H=AesT^4 where H is in watt
Given that f(x,y) = 3xy - x 2 y - xy 2 . Fi nd all the points on the surface z = f(x, y)where local maxima, local minima, or saddles occur
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