we consider the fofo wing Bystem of diffenentiat equations : 1. Sefve this fyrtem 2. 8T Becdy the stabitty ef the stationnary state the stabifty ef the stationhary

Q: Where does the following equation intercept the z-axis? y=+5z-9 A. (0, 1.4) & (0, -6.4) B. (-1.4, 0)…

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Q: Solve graphically the dual of the LLP Minimise: z=4w; +6w,+5w,-W4 Sub. to w, +w,23 W, +W; –W42-2…

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Q: y when x, = 34, X2 = 26, and x3 = 12.

A: Given that  Estimated Linear model as  y^=12+4x1+5x2+2x3 x1=34 x2=26 x3=12 y^= 12 +…

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Q: ich equation below satisfies the chart shown?* x 1 2 3 4 y 2 1 4 7 +5 c) y = 3x-5

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Q: The first step in completing the square is moving the constant to the opposite side of the equation…

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Q: Given the estimated linear model shown below, complete the following computations. y = 15+ 6x, + 2x2…

A: We have given that the estimated linear model  y^ = 15 + 6x1 + 2x2 + 4x3    Note: According to…

Q: Prove there are no natural numbers a and b such that √a+b = √a + √b.c

A: Assume such a,b exists and prove by contradiction

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Q: Find the value of x for which y = x3 - 3x2 has a minimum value. A. 1           C. 0 B. 2…

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Q: Suppose that a scientist has reason to believe that two quantities x and y are related and b.…

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Q: Based on grade 10 student MPM2D course answer the following question:  And the rest of the question…

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Q: Determine if the given PDE is linear or nonlinear. Check also if it is homogeneous or…

A: A linear partial differential equation with constant coefficients in which all the partial…

Q: b. tds (t³e³t + 3st + sdt = 0

A: tds-t3e3t+3st+sdt=0

Q: Match each linear equation with its graph Equation ŵy î î Y = B || I T T 1 4 x + 2 5x 1 -X 2 = Y -x+…

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Q: this phenomenon occurs often to most economic variables. To illustrate the point example, consider…

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Q: The Modular class of [2] under modulo 8 is O [2] = {..., -8,-4,2,4,8,...} [2]={…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: x2+3y2 + dx dy 2ху = 0 Ans: In(x+ y) + = C (x+y)² 3x2+y2

A: substitution method to find the solution of the differential equation.

Q: iii) a) Prove that Pa(-x) (-1)".Pn(x) u (2n)! 22 (n!) b) Prove that P2n(0) = (-1)".- %3D

A: To prove- Pn(-x)=(-1)n.Pn(x)P2n(o)=(-1)n.(2n)!22n(n!)2

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Q: Write an equation in slope intercept form given m = -5 and (2,-8). Hint: Substitue into y = mx +b.…

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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.