If 4 - x2 = f(x) < 4+x2 for –3 <x<3, find lim (2) 20
3. F =< y2 + x-3, 2xy + e? -y + 2, ye? +2z -4> (1) Prove or disprove that F is conservative. (ii) If F is conservative find the potential function f.
1. u Test s. = <1,2,2>. Point p (-1,0,2). Find (1), the direction cosines of u 12. the live through point p that's perpendicular to ū and parallel to the place 2x-y +38=7 2. Name and sketch the graph for the equation 4x²+y²-28 -8x + 2y +8=0.
Help PLEASE! 4. Find M.L.E for the parameter 0 There are 3 observations, X, = 0.1, X2 = 0.5,X3 = 0.8 2 2x f(x) = -22, 0<x<e
4. Find the length of the curve x 1 f(x)= 12 +-, 1<x<4. х
use formula 2. Find the Laplace transform of the function f(t)--2, 2st<4 3,t24
Find, with justification, what the absolute maximum value of f(x) = x3 – 3x on the set of real numbers x satisfying x4 + 36 < 13x2. If time does not permit you to finish this question during the exam, please submit what you have and briefly explain what you would have tried.
Find the Laplace transform of the given function. Enclose numerators and denominators in parentheses. For example, (a−b)/(1+n). f(t) = S1, 0<t<8 t> 8 0,
3. Let {X1, X2, X3, X4} be independent, identically distributed random variables with p.d.f. f(0) = 2. o if 0<x< 1 else Find EY] where Y = min{X1, X2, X3, X4}.
Consider the function S Ax? f(x) = - { x < 3 17 - Ax x3 Find a value of A so that the function is continuous at x = 3. - 12/17 17/12 12/17 17/3 - 17/12