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given a finite set of integers such that all of them are less than or equal to 3, how could you solve in polynomial time that a subset of integers exists whose sum is zero?
Find the correlation between External and Internal attributions significant?
Prove that if f is continuous at all values of x then so is kf where k is a constant. Give an example of a function that is continuous at all non-integer values but is discontinuous at all integer values.
Explain how we arrive at the formula for Simpson's rule (standard formula) using the Lagrange Interpolating Polynomial of degree 2. Ignore the error term, and do not compute any integral.
Using minimax regret criterion, what decision should be made by the decision maker?
Find the characteristic equation for the matrix below and determine its eigenvalues and the corresponding eigenvalues.
The Snell law to find the index of refraction
Let C^3 be equipped with the standard inner product and Let W be the subspace of C^3 that is spanned by u=(1,0,1) and u2=(1/sqrt3, 1/sqrt3, -1/sqrt 3). Project the vector v=(1,i ,i ) onto W.
Suppose that f and g are continuous functions and (integral sign) from 2 - 0 of f(x) dx = 5 and (integral sign) from 2-0 of g(x) dx = 13. Compute the following.
Determine the Fourier series for this function and find the period, frequency and angular frequency of the waveform
Let phi : R^2 --> R be a function given by phi(x,y) = x^3 + xy + y^3 +1 For which points p =(0,0) , p=(1/3,1/3), p =(-1/3,-1/3) is the subset phi^-1 ( phi(p)) an imbedded sub-manifold of R^2.
Simpson's scheme - Matlab, Evaluate the following with Simpson's scheme: 4 times the integral from 0 to 1 of 1/(1+x^2) and 8 times the integral of
Let ubar and vbar be nonzero vectors in 2 or 3 space and let k=||u|| and m=||v||. Show that the vector Wbar=mubar +kvbar bisects the angle between ubar and vbar.
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