Find a general solution for each of the following systems. a - (', ;). A.1. x' = Ax where A : 3

Q: 2. 21 Зу 6 Solve : =+ x 3y 3 2 -+==0 х у and hence find 'a' for which y = ax - 4

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Q: ( - 2 () 4 a) dx³ + yw = 0 dx, b) x(y")³ + (y')ª – y = 0 c) y = xy' + (y')² + 1

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Q: hich of the following values are solutions of y < 2x + 3? a. (0, 2) only b. (-1, 1) only c. (0,2)…

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Q: 1-x 1 0 0x=x-7x denklemini sağlayan x değerlerini bulunuz. 21 -1 X 4

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Q: Find all numbers z such that Az3 + Bz² + Cz = D %3D B = [2 4 21 1 1 1. A = 1 3 1. 1 -2 2 4 21 C li 3…

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Q: Find 7A. 7A = A = 4 7 0 -3 00

A: To find the value of matrix after the multiplication of 7 on them.

Q: V7x+2-V6x+4 = )f(x مستمرة عند 2 = ۲ if x 2 and x # 2 1- قيمة الثابت الذي يجعل الداله (x-2) if x = 2

A: Continuous at x=2,  using rationalization

Q: 25. If f(x) = 3x² – x + 2, find f(2), f(-2), f(a), f(-a),

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Q: Let x = (m, 1, 0,-2)", m> 0 and ||x||2 = V30, then т — Select one: а. 4 b. 7 C. 6 d. 5

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Q: Eliminate the arbitrary constant from the relation cy²=; (x + y − 1)2 = c/x. 3) 2 = x² + y.

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Q: а. Иух — их +uy — и 3D 0 b. x²uyy – 2xuy + u = 0 c. uyy + xuy +x²u = x* с. d. x*ихх — 2хиҳ + и — 0.…

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Q: 1) A function is linear for x 2. This function has the following values: 9-4) = 8; A2) = 5; A4) =…

A: Consider the given statements : Put these values in the functions to check whether the functions…

Q: Solve the following B.V.P. utt %3D с 2ихx; { и(х, 0) 3D сos x - и (0) %3 0, и (2л) - 00<x<20 1, ut…

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Q: 22. Differentiate the following with respect to the variable x, giving your answer in a implified…

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Q: For which values of r is the function y =t" a solution of t?y" – 5ty' + 8y = 0 Select one: O a. r=…

A: Given differential equation is euler-couchy homogeneous differential equation which can be solved by…

Q: Given f (x) = -a + 3 and g(æ) = 2a? – 5, complete parts (a) through (f). %3D %3D (Desmos) a.…

A: In this question we have to solve given functions.

Q: Minimize F = x² +y² with x + 2y = 20. O a. F= 20 O b. F= 72 c. F=2 O d. F= 80 e. F= 60

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Q: 7. Which equation is for the line passing through the points (0, 2) and (3, 8) ? * O y = 2x + 2 O y…

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Q: If the Equation Hx = c is inconsistent for some c in Rn, what can you say about the equation Hx = 0?…

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Q: The solution to (2x+5)= -(x+2) lies on which interva а. [-12,-8] 2. 15 b. [-9,-4] c. [-3,-1] С. d.…

A: Given  115 (2x+5) = 19 (x+2)⇒ 93 (2x+5) = 155 (x+2)⇒ 3 (2x+5) = 5 (x+2)

Q: If g(x) = 4x* – 3x² + 2x – 2 , then g) A. 글 -3 В. 2 C. D. 5 2 Е. 3 2

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Q: Eliminate the arbitrary constants on the given equation: y= Ae" + Bre 2y +y=0 O y =-y" + 2g

A: The given equation is y=Aex+Bxex. We have to eliminate the arbitrary constants.

Q: 9) Find a linear function of the form f(x) = ax +b that satisfy the conditions A-4) = 8 and (3) - 9.

A: f(x) = ax+bf(-4) = 8→ -4a+b = 8.........................1f(3) = 9→3a +b =…

Q: 4) Mr. ABC believes that there has been an increase in the number of tornadoes in city XYZ. The…

A: Given: Equation representing tornadoes per region since 1970 is t=4.5y+250. (a) Substitute 0 for y…

Q: Solve x = I y = 2 = W= x -x y + Y + 2z + 2y א -2 3z 1+ ++ = 4 W = 1 W = 4 1 W 5w =

A: solve the system of equationx-y+z-w=4y+2z+w=1-z+w=4-x+2y-3z+5w=1

Q: Solve the following IBVP: UU+2, 0 0, u(0,t)=0, u(1,t)=-1, 120, u(x,0)=0, u(x,0)=1, 0≤x≤1.

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Q: 4. у + 2x &y(1) = 2. y3

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Q: if X = y = Z = 2-1 3 1 3 3 2 -2x 2 X Z 14 find x, y, and z

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.