Solve the equation Ax =b by using the LU factorization given for A. 1 1 0 00 12 2 0 -2 -2 -4 10 -2 1 0 2 O 10 - 14 A= b= 0 2 - 20 2 -2 1 0 0 0 -2 0 2 10 O -6 41 1 0 1 - 24 Let Ly = b and Ux = y. Solve for x and y. %3D 2. 2. 4. %3D

Q: 11 55 3. 4 8. 4. 5. 4. 10 %3D 12 II II I, II II 8. 5, 6. 8. 2. 5, co II II II /7 2.

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Q: Solve the following equation for x. 1 1 1 X-1 X 3x Select one: O a. x = 5 Ob. x = 2 O c. x = 4 O d.…

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Q: (a) Using a truth table, decide whether the propositions A = (p A q) and B = [(-q→ p) →g Ap are…

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Q: 12. If * 1 + 2a [1 a² - 2 a² – 6 5 5 a O a = 1 O a = 3 O a = 2 O a = -1 O a = 3, –1,2 O None

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Q: Solve. IM.SEO.8.20 INA MOLEZ LEBVTCa 7-x = 5 8 4 V2K AON LE Step Moltiply each Side of the…

A: Given,

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Q: Find all equilibria of the continuous-time dynamical system given by i = cos x, x e R. Sketch the…

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Q: X -2 -1 TOHN 3 0 1 2 y 14 -1 -6 -1 14 39

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Q: Show that B is the inverse of A. -2 1 2. 3-3 -0 6 -2 A = -3 1 2. 6. %3D -18 6 15 STEP 1: Find AB. AB…

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Q: If g(x, y) %3D Vху — Зх, find gx and gy. gx %3D gy %3D

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Q: Question 3 Which of the following pairs of values for witnesses C and no could be used to justify…

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Q: QUESTION 6 Given a =a п п-1 + 2a n -2 with a=2, a,=7. 1 What is A and B if a =A2" +B(-1)" 3 and - 1…

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Q: 70. x +y = 4 3D4 . %3D

A: Explanation and solutions is given below....

Q: Solve for a, b, c and d.   81690010219a+18826921b+4339c+d=342 190010204749a+33051001b+5749c+d=253…

A: Given equations are: 81690010219a+18826921b+4339c+d=342 190010204749a+33051001b+5749c+d=253…

Q: Solve for t. 4 - 1 - 1 =D4 - 3 -3

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Q: 3-ÿ + 9y = 0

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Q: 5. Given the equation: (x + 2y – 4)dx + (2x – 4y)dy

A: x+2y-4dx+2x-4ydy=0              (1)  Comparing with Mdx+Ndy=0  ∴ M=x+2y-4, N=2x-4y ∂M∂y=2, ∂N∂x=2 ∴…

Q: Substitute r=3 and h = 5 into the formula V = xh then evaluate. O 235.5 O 47.1 O 141.3

A: Given : formula= V=πr2h value of r=3 and h=5

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Q: y varies directly as the square root of x. If x= 4 then y = 14. Find & when y = 56. X =

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Q: How many distinct solutions does the following equation have? I1+I2+I3 +24= 100, such that %3D I E…

A: To find the distinct solution of x1+x2+x3+x4=100 Since, x1∈{1,2,3..},x2∈{2,3,4,…},x3,x4∈{0,1,2,3,…}…

Q: QUESTION B1 Given z = x + yi, where x and y are real numbers. If 2* = 2, which of the z+1+1…

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Q: Add. -4+ (-3) = 0 5+ (-2) = 0 X Ś

A: -4+(-3)=? 5+(-2)=?

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.