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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.
Prove that sec 2 θ+cosec 2 θ can never be less than 2. Ans: S.T Sec 2 θ + Cosec 2 θ can never be less than 2. If possible let it be less than 2. 1 + Tan 2 θ + 1 + Cot
Prove that cosec2theta+ sec2theta can never be less than 2
core competency vs diversification
three complain forces of magnitudes 20N 30N and 45N
SA= Ph+2B L=36 ft W=10 ft H=20 ft P=92 ft B=360 ft
4x+3y+7=0 and 3x+4y+8=0 find the regression coefficient between bxy and byx.
So far we have considered differentiation of functions of one independent variable. In many situations, we come across functions with more than one independent variable
how can you determine trasportation schedule that minimizes cost
the median of a continuous frequency distribution is 21.if each observation is increased by 5. find the new median
assignment for appications of derivatives
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