(2 points) Find them of the function As (sv) + (0,0) Aime that polynomials, esponents, optic,...
(a) Find the interpolating polynomials to the function f(x) = e-* sin(7x) at x = -1, 0, 1 and 2 using. (1) Lagrange's interpolation formula.
Find the linearization L(x,y) of the function f(x,y)= e 3x cos (y) at the points (0,0) and RIN The linearization at (0,0) is L(x,y)= (Type an exact answer, using a as needed.) The linearization at 0. is L(x,y)= 0 (Type an exact answer, using a as needed.)
3. (25 points) Find the line of best fit for the points (0,0), (2, -1), (0, -2) and (2, -3) using linear algebra.
1) An electron has a wave function Ynim (r,0,0) = Cnr3 e-Kr Yım(0,0). a) What are nlm and their meaning. What additional quantum number added to nlm? b) Find radial probability density. At what radius is one most likely to find the electron? c) Plot wave function and radial probability density and comment on physical significance.
Find the range of the function f(x) = x2 A) (0,0) B)[0,00) C)(1,0) D)(-1,00) E)-, -1] U [0,0] F)RUR G)(1,0) H) (1,-1] Select one: a. F b. C C. B d. H e. D f. E g. A h. G
I. Find E(T) for a component that reliability function R(t) = pe-At, t > 0,0 < p 1 and λ > 0
Which of the next polynomials are quadratics relative to variable x? Hint: Get each of them into standard form... A. X² B. (x - 1)2 C. (x + 5)(x + 4) D. (x + 1)(x - 1) E. 3x2 + 5x + 1 Select one: o a. E only o b. B, C, E only O c. B, C, D, E only d. All of them e. Non of them
36a and 37
12:41 - A A) a a lies between the points (0,0) and (1,1). If your CAS has trouble evaluating the integral, make a substitution that changes the integral into one that the CAS can evaluate. 33. Sketch the curve with equation x2/3 + y2/3 = 1 and use symmetry to find its length. 34. (a) Sketch the curvey - x (b) Use Formulas 3 and 4 to set up two integrals for the are length from (0,0)...
(2) Find the center and radius of the circle passing through the points A = (0,0), B = (1,2), and C = (-1,3).
Find the stationary points of the following function f(t, y) = 2.3 + 3xy? – 322 – 3y2 + 10 Select one or more: a. (-2,2) O b. (1, -1) O c.(-1,1) d. (0,0) e. (1,1) O f. (2,0) g: (2,2) h. (0,2)