The yintercept of the linear function f(x) =7x+9 is -6.6 11 9 4.3 -1.3

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Q: 2. y"+7y'+12y= 0, y (0)= 1, y'(0) = 2

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A: First draw the line x1+x2=10 and mark the region for the inequality x1+x2≤10.

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Q: Show that if z = x+ iy, then: | cosh-z|2 sinh x Hint: use the equation: | coshzf = sinhx+ cos"y

A: We have , z = x + iy We know that ,  coshz = ez + e-z2 Therefore , cosh (-z) = e-z + e-(-z)2 = ez + ...

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A: (1). Consider the given statement. "From the premise that a linear operator is diagonalizable with r...

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Q: . Consider the functions f : A → B and g : B → C. a) If f and g are both injective, show that g o f....

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Q: [3/ (x- 4)] = [(3x + 36) / ?] [4/ (2x + 5)] = [? / (2x? – x– 15)] [(x + 2) / (3x + 2)] = [(3x? + 4x ...

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Q: Laplace Integrals We shall derive the Fourier cosine and Fourier sine integrals of f(x) = e-k*, wher...

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Q: Vx - 2 dx 5 x + 1)

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Q: 2. Determine if the series n n4 + 1 n=1 Σ (-1)3n converges or diverges. 3. Consider the power series...

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A: By Bartleby policy I have to solve only first one as these are all unrelated &amp; lengthy problems....

Q: Consider the following linear program: max z = -2x1 + x2 – 4x3 +3x4 subject to x1 + x2 + 3x3 + 2x4 -...

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Q: Prove that for all n E N, 7" +2 is divisible by 3.

A: We will use mathematical induction to prove the result in question 4.

Q: Σ (2у + 3) L J2m? + m –1 m m=1

A: This is a problem of power series.

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Q: 2 Howin show that

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Q: 1. Let R be the relation on N defined by "aRb if EN or 5| (b – a)". So for example (6,2) € R and (1,...

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Q: Evaluate the moment M, and M, of the region bounded by x = 2y - y2 and the y=axis.

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Q: Question 2. Consider the 2n x 2n block-diagonal matrix A, made up of n blocks (* :) of 2 x 2 matrice...

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Q: Question 2 Find the volume of the solid generated of the area bounded by y = x², y + 2x = 8 and y = ...

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Q: Question 17 dx

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Q: Find the compliment 1 (A+B')C' = ?|

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A: Moment of inertia of a region A  about x-axis Ix=∫∫Ax2dA about y axis Iy=∫∫Ay2dA about origin Io=∫∫A...

Q: Find the laplace transform of the following function f(t)= 2-3u(t-2)+u(t-3)

A: Solution

Q: 12 If SU = 37, find the length of SUR. S. %3D 151° R. T.

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Q: 2 Evaluate į 8x'ax by the Gaussian quadrature method. Tolerance = Nx10

A: The integral given is as follows: ∫028x7dx We are asked to evaluate the integral using the Gaussian ...