Let G be an r-regular graph on n vertices. Show that n (h-r-1) 2 |E (E)| =

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Q: Q5: Solve the following set of equations using Newton-Raphson with initial values x₁ = 0.5 x₂ = 1.5…

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Q: 524 1048 1 -1 L p(t)| 1 0 1048 1 718 -² 78 1 524 -1L 262 t in seconds

A: For the detailed solution of the problem follow the next steps.

Q: Find the solution of the given initial value problem. (7) = 5, t > 0 Y || ty' + 2y = sint, y

A: Let us consider the initial value problem of the form dydt+P(x)y=Q(x), y(x0)=y0 To solve the…

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Q: Solve: y"-qy = 8(+) +,S(+-3), y(o)=y'(0)=0. ~Delta

A: Given,        y''-9y=δ(t)+δ(t-3), y(0)=y'(0)=0.

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Q: The graph of the function f(x) is shown below. At which point(s) is f not differentiable? At which…

A: The graph of the function f(x) is given below:                   .

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Q: Problem 5.3 Limits and continuity a) Find the limits of 06 ( 12² + 1²1 ) 1+x+y lim COS (x,y) (0,0)…

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Q: Let f(x, y) = (Give exact answers. Use symbolic notation and fractions where needed.) f(x,-2x) =…

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Q: In Exercises 49–54, show that the limits do not exist. xy? ху + 1 49. (х, у) —(1,1) у — 1 50. (x,…

A: The given limits, 49. limx,y→1,1xy2-1y-1 50. limx,y→1,-1xy+1x2-y2 51. limx,y→0,1x lnyx2+ln y2 We…

Q: (5) (a) Let a and b be two elements of Sn with the same cycle structure. Explain how to produce an…

A: Details are attached in step 2. We solve this using basics properties of permutations.

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A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

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Q: a. Use the appropriate formula to determine the periodic deposit. b. How much of the financial goal…

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Q: QUESTION 5 An object initially had its axes and origin coincident with the world axes and origin. It…

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A: As per the Bartleby rules we have to answer only first three questions

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Q: what is a proper space

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Q: (a) What matrix M transforms (1,0) and (0, 1) to (r,t) and (s,u)? (b) What matrix N transforms (a,…

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Q: Let 13 20 x 20+ y = 2 be the equation of a curve in the xy-plane. Find the equation y = T(x) of the…

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Q: Show that the set of all second order polynomials, f(x) = ax² + bx+c, is a vector space.

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Q: III. Describe (words and/or pictures) the graph of 2²x² + 1 = y². Label key features.

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Q: dR dt dF dt 2(1-7) ¹ R-RF -16F +4RF

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Q: Find the slope of the tangent line to the curve of the intersection of the surface x² + y² +2²= 9…

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Q: Which of the following pairs of propositions are logically equivalent? PAIR I: (p⇒q) ^ (q⇒p) and p ↔…

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Q: Problem 6: let of be a f(x) = 7₁²=-2² periodic function of Period 200 such that for -T≤X <T Find the…

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