For each of the characteristic function in Problems
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- Finally we need to get zeros above the 1 in row 3. To get a zero in row 1, column 3 we can simply add row 3 to row 1 and put the result in row 1. To get a zero in row 2, column 3 we can add -2 times row 3 to row 2 and put the result in row 2. 10-1 0 -1 6. 100 1/5 0 1 2 -5 0 1 0-2/5 1/5 0 0 1 1/5 2/5 -14/5 0 0 1 1/5 2/5 -14/5 Note that the left side of the augmented matrix is now the identity matrix. Give the resulting inverse matrix below. (If the inverse does not exist, enter DNE into any cell.) 11arrow_forward. Find the root of x +x – 1 = 0 by iteration method, given that root lies near 1.arrow_forward2.1 Find the real root of the equation, x - 3x - 5 = 0 by the bisection method.arrow_forward
- SOLVE FOR THE X OF THE FOLLOWING FUNCTION USING BISECTION METHOD b. x³7x² + 14x6 = 0arrow_forwardM- 03. Determine the real root of f(x) = -26 + 85x – 91x? + 44x3 – 8x* + x5: a. Graphically. b. Using bisection to determine the root to es = 10%. Employ initial guesses of x = 0.5 and x, = 1.0. c. Perform the same computation as in (b) but use the false position method and e, = 0.2%. (For this item, the use of MS Excel is permitted provided that the iteration procedure is clear and easy to follow.)arrow_forwardUse bisection Method Need in detailed solution Need in 30 mins.arrow_forward
- The chamber of commerce for a summer resort is trying to determine how many tourists will be visiting each season over the coming years. A marketing research firm has estimated that the number of tourist can be predicted by the equation p = 276, 000 + 7500t, where p = the number of tourists per year, and t = years (measured from this current season). Thus, t = Oidentifies the current season, t = 1 is the next season, etc. if p is plotted on the vertical axis : a. Graph the equation b. Identify the slope and y intercept (p intercept, here) c. Interpret the meaning of the slope and p intercept in this applicationarrow_forwardUse (a) bisection method and (b) false position method to find the solution to the following within error of 10-6. Show your manual solution for first three iterations, then prepare an Excel file for the finding the root until the error is within 10-6 showing also the graph of the function. 1. x3-2x2-5=0, when x = [1, 4] 2. sin x - eX=0, when x = [0,1] 3. (x-2)2-In x =0, when x = [1,2]arrow_forwardExample: Test Scores and Class Size sw Section 9.4 Test score 740 Test score 780 Linear regression 720 Linear-log regression 760 Linear-log regression 700 740 680 Cubic regression 720 Cubic regression 700 660 680 640 660 620 640 600 620 10 20 30 40 50 60 10 20 30 40 50 District income District income (thousands of dollars) (thousands of dollars) • = (MA, CA) for TestScore vs Income (Left, Right) They are similar: the relationship is steeper for low value of income • Best functional forms differ (Cubic for MA, Linear-log for CA)arrow_forward
- Find all the roots of the given function. Use preliminary analysis and graphing to find good initial approximations.arrow_forwardWhich of the following most nearly gives the value of the unknown functions for the following equations? -w + 2x – 3y + 5z = 14 ; w + 3x + 2y – z = 9; 3w – 3x + 2y + 4z = 19;4w + 2x + 5y + z = 27 (Note: no need to re-arrange the equations, number them in the order they appear in this problem) a) w = 1;x= -2; y = 3 ;z = 4 d) w = 3 ;x = -1;y= 4;z = 2 = 1;x = 2;y = 3; z = 4 c) w = 2 ;x = 3; y = 5 ;z = 1 b) e) w = -1; x = 3;y = 4;z= 2 f) None of the choicesarrow_forward
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