Q9. Find some bipartite graph of order p such that i(G) = p - 1.

Q: QUESTION 2 a) What is the equation of the straight line that passes through the points (1,-4) and…

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Q: Convert the following Linear Program problem to standard form. Maximize: Subject to: 2x+y 0≤x≤ 5 0≤…

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Q: if sis a group of order p", then its center 24, peing a primes

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Q: (a) Show that S is path-connected, by constructing for any two points x, y € Sn an explicit path…

A: please find the attached solution

Q: Find all maximal independent sets of path Pio and C10.

A: Please find the attached answer

Q: |x|· x x+0+ x² (a) lim x² xxx + √√3x + 1 x² - 10x (d) lim Calculate the following limits, or explain…

A: To Find: Limits ( And explain if it is divergent). (a) limx→0+|x|·xx2 (b) limx→∞x2x+3x4+1. (c)…

Q: 6. 7. 5. 8. In the figure above, the circle is inscribed in a square that has area 16. Quantity A…

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Q: ILLUSTRATION 4.60 The plane ax + by = 0 is rotated through an angle o about its line of intersection…

A: Given that the plane ax+by=0 is rotated through an angle α about its line of intersection with the…

Q: Show the equivalent of (2x+3y) (4x² - 6xy +9y²) + (2x − 3y)(4x² + 6xy+9y²) 16x³ for x # 0.

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Q: B. Given the matrix 120 A = 0 -1 4 52 a

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Q: Prove that a set is open iff it contains none of its boundary points; i.e., A is openAnA = 0.

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Q: 2. Answer

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Q: O Two vertical poles be reinforced by op the ground 15 and 20m wire a poles are tied to in the…

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Q: Definition: Let V be a vector space and U₁, U₂, ,Uk be subspaces of V. Then V is said to be a direct…

A: I have constructed subspaces of R^2 and explained the counter example.

Q: Let D be a dominating set of a graph G. Is V(G) – D a dominating set? Why?

A: please find the attached solution

Q: (d) Let G be a group, N a normal subgroup of G and K a subgroup of G which contains N. Then prove…

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Q: Knowing that S+x x² e ²² dx. +∞ +∞ Se-¹² dx = √√2π, find x2 е

A: Given:  ∫-∞∞e-x22dx=2πTo find: ∫-∞∞x2e-x22dx

Q: ixed points and stability Slope field Phase line

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Q: ) Chapter 2, exercise 9.7: Determine the order of each of the matrices [1 when the matrix entries…

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Q: Consider the integral fe‡ dx. (a) Approximate the integral by the Trapezoidal rule using n = 4. (b)…

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Q: Find all integers n such that o(n) = 40.

A: Use the multiplicative property of ϕ:  if n and m are relatively prime then  ϕ(nm) = ϕ(n)ϕ(m). 40  =…

Q: Suppose T: R2 R3 is a linear transformation. Let u, v and w be the vectors given below, and suppose…

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Q: Decide whether each of the following statements are true. (a) If a, b, m, n N and a | mand bn, then…

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Q: f G is a finite group and Z is its centre, then class equation of G is expressi o(G) o(G) = o(Z) + E…

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Q: Condier that is the centre of a group F, So prove that > M(x) = F. and prove that if Fis finite,xe…

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Q: The PTO is selling raffle tickets to raise money for classroom supplies. A raffle ticket costs $2.…

A: A)...As 290 tickets are sold,probability of being a winner=1/290   Expected prize…

Q: Jessica deposits $500 at the end of every month for 1 years and 7 months in a retirement fund at…

A: a) In the given example, Jessica is depositing at the end of every month but the frequency of…

Q: Count and describe the subgroups of index 3 of the group Z+ × Z+.

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Q: Use two-timing (or averaging) to obtain the general solution of ï+ ε(x² + x² − 1)i + x = 0 with…

A: Please find the attached solution

Q: The table represents 2054 randomly chosen people age 25 years or older in regard to educational…

A: We know that Probability= No. of favourable outcomes/                          No. of total…

Q: A Norman window is constructed by adjoining a semicircle to the top of a rectangular window, as…

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Q: Let A, B E Rnxn and let R[x] be the set of all polynomials in variable x with coefficients in R.…

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Q: Definition 3: Let X be a subspace of Rn and let X be the set of all vectors in R" that are…

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Q: The following sequence of symbols is given: αββεεεθααββββεεεεεεθααααββββββββεεεεεεεεεεεεθ ... If…

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Q: write a function P(t) that describes the population after t days of a colony of 1000 fire ants that…

A: The exponential growth function is represented using the equation: f(t)=abt. Here, a is the initial…

Q: Determine whether the given function is a solution of the differential equation. y = √√√x; xy' - y =…

A: Given a differential equation xy'-y=0. To determine whether function y=x is a solution of the…

Q: Estimate the volume of the solid that lies below the surface z = xy and above the following…

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Q: Solve the Goursat problem: [Utt Utt- c²Uxx u|x-ct=0 = x² u|x+ct=0 = x¹. nt: Use the formula for…

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Q: [− xu[x = (x) ƒ

A: Secant method: A root finding technique which uses a succession of roots of secant lines for the…

Q: the denominator of a fraction is 8 more than the numerator. if both the numerator and the…

A: The given problem is to find the fraction where the denominator of a fraction is 8 more than…

Q: Find the reference number for the following angle (in rad unit) (a) 117 (b) - 4 (c) 4 (d)6 101T

A: Reference angle is acute angle made by terminal side with x axis.  Subtract 2π from angle to bring…

Q: Explain what geometric problem. As there local or is solved fiese ond global constraint. d

A: Please find the attached solution

Q: 23. If a planar drawing of a graph has 15 edges and 8 vertices, how many faces does the graph have?

A: Answer :- We know from the Euler formula that  v+f =e+2

Q: dier that is the centre of a group F, So prove that = > M(x) = F. and prove that if Fis finite,…

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Q: Use Descartes' rule of signs sign rule to determine what's the number of possible real positive and…

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Q: Consider the following functional where * = . 1[x] = f*cos(x(i))*(r) dr

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Q: 22. The sum of the measures of the interior angles on the drawing of the site plan below equals D in…

A: We know that the sum of interior angles of a polygon is ( n − 2 ) × 180°. where n is the number of…

Q: Find general solution which starts at (x, y₂ 3) = (R₂0₂0) at t=0.

A: Please find the attached solution

Q: Suppose b is changed to b' . How large relative change can this change produce in the solution to Ax…

A: The given matrix is, A=1112501-12,  and b=123. To Find: The maximum change in the solution of the…

Q: Q1. Evaluate the series S = -|2 + N|T + -12 + 1 + 211 :

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