Q3. x² +6x+8y + 25 = 0 * +6x= -84–25 (x+3)²-9=-84-95 (x+3) = -84 – 16...
Questions A and E (b) f(x, y) = 2.2-2y2-6x + 8y + 3 (c) f(z, y)=x2 + 6ry + 2/-6x +10y-2 Constrained Optimization 3. Find the values of r and y that maximize (or minimize) f(x,y) subject to the following constraints (a) f(z, y) = ry, subject to x + 2y = 2 (b) f(z, y)y+4), subject to z+y 8 (c) f(x,y) = x-3y-xy, subject to x + y = 6 (d) f(x, y)-7-y 2, subject to z ty 0...
Find the volume of the following regions bounded by the planes: a). 3x+8y+8z=9, 3x+8y+8z=9, y=x, x=0, z=0. b). 5x+3y+5z=2, 5x+3y+5z=2, y=x, x=0, z=0.
3) Find the solution to y" -6y' +8y=16 x(0)=0, x'(0)=0 given that y.(x) = ce?* +cze** and y, (x) = 2.
Given the following functions, find each of the values: f(x) = 72 - 6x +9 g(x) = 2 - 3 (f +9)( - 2) = ne (f-9)(5) = (fog)(0) = ()(1) =
Let X be a continuous random variable with the following PDF 6x(1 – x) if 0 < x < 1 fx(x) = 3 0.w. Suppose that we know Y | X = x ~ Geometric(x). Find the posterior density of X given Y = 2, i.e., fxY (2|2).
6. Which of the following represents the graph of 3x + 8y = 24? A. -10 7. Write a slope-intercept equation for a line parallel to the line x + 6y = 12 which passes through the point (24,-5). A. y=6x -149 8. Does the graph below represent a function and is it one-to-one? A. It is a function but not one-to-one. B. It is a function and it is one-to-one. C. It is not a function but it is...
*9. For each of the following pairs of functions, determine the highest order of contact between the two functions at the indicated point xo: (e) f,g : R-R given by f(x)and g(x) 1+2r ro0 (f) f, g : (0, oo) → R given by f(r) = In(2) and g(z) = (z-1)3 + In(z): zo = 1. (g) f.g: (0, oo) -R given by f(x)-In(x) and g(x)-(x 1)200 +ln(x); ro 1 x-1)200 *9. For each of the following pairs of functions,...
3). Let X and Y be two random variables with the joint pdf 41-, 0<b< 0<pく1; 6x f (,)0 elsewhere. ǐf 0 < z < 1; Find Pr(X >1/v=1). 3). Let X and Y be two random variables with the joint pdf 41-, 0
(1 point) 6y 6xe-6x, 0 < x < 1 with initial condition y(0) = 2. Given the first order IVP y 0, х21 (1) Find the explicit solution on the interval 0 < x < 1 У(х) %3 (2) Find the lim y(x) = х—1 (3) Then find the explicit solution on the interval x 1 У(х) —
16) X & Y have joint pdf f(x, y) = 3xy, 0 < x <1, x < y < 2 − x Determine the marginal pdf of X on the interval (0, 1) the answer is 6x – 6x^2 19) Suppose X & Y have a uniform (flat) pdf on the support of problem (16). Determine P(Y > 2X). the answer is 2/3 I would like to know the answer of question 20 and question 21 20) Continuing problem (19),...