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Answer is 62
17. Solve by factoring: x2 - 4x – 21= 0 The two possible solutions po- form...
(Variation of Parameters) (a) Find the two independent solutions x, (1) and x2 (t) of the homogeneous DE: x,-4x + 4x = 0 . (b) Find the Wronskian W(t) of your two solutions from Part (a). (c) Set up and solve the equations for the functions that we called c,() and c2(t), to use in finding a particular solution of the DE: x,,-4x + 4x = te2t Using Parts (a) and (c), set up the particular solution xp(t) Your answer...
3. (25%) The so-called linear expenditure system for two goods comes from a utility function of the type: u(x1, x2) = (x1 - 01)+(x2 - a2)62 where 21, 22, B1, B2 are constants with Bi > 0 and B2 > 0. (a) Is it legitimate to assume that B1 + B2 = 1 for these preferences? (b) Does B, In(x1 - 01) + B2 In(x2 - a2) represent the same preferences? (c) Does - By In(xı-ai) - B2 In(x2 -...
6. Given x2 + y2 - 4x -Ny-16 = 0 is the equation of a circle in general form, which of the following represents the standard form of this circle? A) (x-4)2 + (y - 3)2 = 36 B) (x - 2)2 + (y - 4)2 = 36 6) C) (x - 2)2 + (y - 4)2 = 6 D) (x + 4)2 + ( + 8)2 = 36 E) None of the Above 7. Write the equation of a...
Let v=1, 12 = ? be two independent solutions of zły" - zy' =0 then the particular solution of z?y" - zy' = 622 is Y(x) = (A) 27 -1 (B) 6x4 (C) 27 (D) 23-1 (E) None Let vi=1, n = be two independent solutions of "y" - ry' = 0, then the particular solution of z?" -ry' = 62 is Y(u) =
Directions: In 7-10, determine the rectangular equation given its polar form. 17] r = 9 C. x² + y2 = 81 D. x + y = 9 A. x² + y2 = 3 B. x + y2 = 9 [8] r = -179csc D. y = 179 E. none of these A. x = -179 B. x = 179 C. y = -179 [9] @ - 7 V3 A. y = 13 3 B. y = х X c. y...
1. Find the real solutions of the following equation: 736 + 16 = 4 A) {0) B) (1) 1) D) {4} E) None of the Above 2) 2. Find the real solutions of the following quadratic equation: x2 – 3x = 18 A) {6} B) (-6,3) C) (-3) D) {-3,6) E) None of the Above 3. Find the equation of the line in slope-intercept form that is perpendicular to the line y = 3x - and contains the point (6,2)....
Solve the following system of equations for x: x-5y = 17 2x-6y 2 0 A. These equations represent parallel lines and there is no solution. B. These equations represent the same line and there are infinite solutions. 0 D. None of these. ○ E.xz.2
Given two linearly independent solutions yı=e, y = 4x of y" - 3y' + 4y = 0, use the method of variation of parameters to find a particu "-3y' - 4y = 24 Select the correct answer.---Submit your work when you complete the test. b. Y* 7 c. 3p = x et d. &p=g e. Yp 5
The random variable X has two possible distributions: fo(x) = ze-z?/21(x > 0) or a2 /2 (a) Find the most powerful level α-0.05 test of Ho : X ~ 0(x) versus H1 : X ~ fı(x) on the basis of observing X only b) Calculate the power of your test in part (a). The random variable X has two possible distributions: fo(x) = ze-z?/21(x > 0) or a2 /2 (a) Find the most powerful level α-0.05 test of Ho :...
Object A0 has a mass of 8.0 x10^{-21} kg and carries a net charge of +8.0 x 10^{-19} C Object B0 has a mass of 6.0 x 10^{-21} kg and carries a net charge of -1.6 x 10^{-18} C Which of the following scenarios could be possible? (i) Object A0 is split into two objects A1 and A2 where each has a mass of 4.0 x 10^{-21} kg and carries a net charge of 4.0 x...