|dx = (1 - 1

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Q: 3. (a) Diagonalize the matrix 4-(-3). A = i.e. write A = VAV-1, where V is the matrix whose colums…

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Q: 7. Write the second-order ODE 2y" - 4y' +6y= cos(t), as a linear system (with forcing) for y(t) =…

A: This is about second order differential equation

Q: (d) Now, prove using induction that every tree has chromatic number 2.

A: We have to prove by induction that every tree has chromatic number 2

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Q: (18) Find [S], where S = {(a, b, c)|a, b, c E [100], a <b, a <c}.

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A: T(1,0) =(1,1) T(0,1) = (-1,1)

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Q: Use Green's theorem to evaluate F. dr. (Check the orientation of the curve before applying the…

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Q: (2) Section 7.1 problem 4: Find the ranges of the following functions on Z: (a) g = {(x, 4x + 1)|x €…

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Q: )c) Find the sum of each of the following series. (i) )ii) (iii) n = 2 8 n = 2 8 n = 1 n(n – 1)x",…

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Q: Suppose P is a partition of the interval [a, b], and f: [a, b] → R and g: [a, b] → R are bounded…

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Q: Show that |a²| = aRez if a is a positive real constant..

A: Let z = x + yi, where x and y are real numbers. Then, we can write a^z as:   a^z = a^(x+yi)

Q: The following table shows the number of new (single-unit) houses started, in thousands, in the…

A: Note: It is given that S is the set of total house. So S denote total house not south. T denote…

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