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Show that the approximation -L(mA) rean can be obtained by a Richardson extrapolation. |Hint: Consider p(h)
2. Show that the approximation 2 1 h) - 5(x- h)- S(x + 2h) - f(x- 2h) (x) can be obtained by a Richardson extrapolation. [Hint: Consider (h) f(z+2h)-f(x-2h) 2h 2. Show that the approximation 2 1 h) - 5(x- h)- S(x + 2h) - f(x- 2h) (x) can be obtained by a Richardson extrapolation. [Hint: Consider (h) f(z+2h)-f(x-2h) 2h
please clear handwriting (Richardson Extrapolation Applied to Differentiation). (a) Suppose that N(h) is an approximation to M for every h > 0 and that M = N(h) + Kih? + Kh? + K3h3 +... ), and N ) for some constants K1, K2, K3, .... Use the values N(h), N to produce an O(h) approximation to M. (b) Recall that f(xo+h)-f(20) df (20) dc f(x) Use the formula you constructed in part (a) to construct an imation to df 20)...
De Broglie’s wavelength (L) can be evaluated as L=h/p, where h is Planck constant (h= 6.63 x 10-34 J sec) and p is momentum (p=mv). What is the De Broglie wavelength of a 0.01 kg ball moving at a speed of 663 m/s? Can you compare the obtained length with any objects around you?
2. Show that p-1 E(+1) = 2a +(*)(4+1) k=0 l=0 Hint: Fix an 0 <I<p – 1, Ask youself how many k satisfy k2 = 1 mod p.
Assuming graphically.. i obtained theta =50deg, L =91mm and H = 21mm. # Exercise 4: Graphically show the location of Point O and analytically determine the radius and center location of the wheel as shown in the following figure. The values for α,L and H may be presumably given. B C
Question 2. Consider the approximation of the definite integral () (a) Begin by using 2 points/nodes (i.e., n + 1 = 2, with the two points being x = a and r = b). Replace f(x) by the constant /(a+b)/2] on the entire interval a <<b. Show that this leads to the numerical integration formula M,()) = (b − a) ) Graphically illustrate this approximation. (b) In analogy with the derivation of the Trapezoidal rule and Simpson's rule, generalize part...
Tunneling through arbitrary potential barrier Consider the tunneling problem in the WKB approximation through an arbitrary shaped potential barrier V(2) where V (1) + 0 for x + to, the energy of the particle of mass m is E, and the classical turning points are a and b. Show that the transmission coefficient is given by where T=e=2(1 + (-21)-2 L = "p\dx .
Incorrect Question 8 0/5 pts Consider the following clause: {P(a,x,h(g(z))), P(z,h(y),h(y))} After unification the following clause is obtained (A) P(a,h(g(a)), h(g(a)))} (B) P(a,h(g(x)),(g(a)))} (C) The original clause is not unifiable (D) None of these. (A) (B) (C) (D)
Consider the list of characters: ['P', 'Y', 'T', 'H', 'O', 'N']. Show how this list is sorted using merge sort, use induction to prove the run time of this algorithm.
Problem 3.2. (10) Consider an H-atom energy level with energy E. The corresponding D-atom energy level has energy E + E. Show that SE me E 2m (3.1.8) Hint: Use the binomial approximation.