the approximated area under curve from [0,9] using 9 subintervals and by Trapezoidal Rule = 52.375 .
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We will use u and v as our dual variables. Maximize 12x +15y subject to 5x+4y < 40 Given the following Maximize 3x +2y < 36 x,y 20 Set up the dual problem The dual objective function is One constraint is Another constraint is The variables are You are given the following problem; Maximize 10x+15y subject to 6x+3y < 96 x+y = 18 X.y 20 Based on this information which tableau represents the correct solution for this scenario?
cewise Functions e function, evaluate lim f(x). 2 1-2x²+x+3 f(x) = { 2x2 – 3x + 3 (-3x - 2 if if xs1 1<x< 6 if x26 below:
* For the function f(x) = (3x + 5 if x 20 6 if x < 0. find f(-10)
3. Assume we have Simpson's Rule: to = a, 13 = , h = (b-a)/2 = a +h. (20) + 47(01) + f(x)]- ()where do < < Let fe .b), be even, h= (b-a)/n, and = a + jh, for each j = 0,1...... Show that there exists a l E (a,b) for which the Composite Simpson's rule for n subintervals can be written with its crror term as n/2 bar (n/2) - 1 f(a) +2 =1 (12) + 4...
Evaluate the function for the given values of x. (-5x+4, for x<-1 x) = ), 2 + 3 1, for -1 5x</ 2 for x (a) f(-1): (b) f(3)
Find all values x = a where the function is discontinuous. 3x - 5 if x < 0 f(x) = x2 + 5x -5 if x 20 O A. a = 0 OB. Nowhere O c. a = 5 OD. a = -5
Given the functons: f(x)=x² – 3x 8(x) = 13x h(x)=5x+3 Evaluate the function (h )(x) for x= 2. Write your answer in exact simplified form. Select "Undefined" If applicable. (h of)(2) is
Graph the function f ro -2<x<0 f(x) = +1 O 5x<1 1 1 sx<2 Find the Fourier series of fon the given interval. Give the number to which the Fourier series converges
(1 point) Find the maximum and minimum values of the function f(x, y) = 3x² – 18xy + 3y2 + 6 on the disk x2 + y2 < 16. Maximum = Minimum =
(1 point) Consider the function f(x) = xe-5x, 0<x< 2. This function has an absolute minimum value equal to: which is attained at x = and an absolute maximum value equal to: 1/(5e) which is attained at x =