Consider an undirected, connected, simple graph with n vertices. What are the minimum and maximum numbers of edges, respectively, that the graph could have? O n- 1 and n (n - 1) O None of the choices n- 1 and n! O n and n" O n-1 and n (n - 1)/2 n and 2" On- 1 and n?

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Q: Define the subset W2 of M3(R) to be the set of all matrices A e M3(R) satisfying a1,1 + a2,2 + a3,3 ...

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A: according to our guidelines we can answer only three subparts, or first question and rest can be rep...

Q: . Given 2 vectors X and Y: X = 4i – 2j Y = -3i + 2j – 6k Find: X x Y and Y.X

A: Please find attachment for the details solution 

Q: -2 (-л 1>0)

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A: Let us consider a right angle triangle ABC Using Pythagoras theorem, AB2+BC2=AC2

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Q: Find S. (12z+ z²) dz, where C is the boundary of the rectangle with vertices at the points 1+ 2i, – ...

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Q: (a) Determine if the following sets of functions are linearly dependent or linearly independent on R...

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Q: 1. A = 654, 000, P = 248, 000 ; t = 15 years 2. A = 1, 450, 000, r = 10% per year ; t = 20 years 3...

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Q: 5. Find a second solution to (1 – a2) y" + 2xy' = 0, given one solution y1(x) = 1.

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Q: Let X be a set and {Ya|a E A} an indexed family of sets. Prove that X U (naEA Ya) =Naɛa (X u Ya).

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Q: Prove that for any set relation R (we did not pick it to be "on" any particular set) R* =N{Q:RC Q^ Q...

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Q: 1. Let X = {1,2,3} and let R = {(1, 3)(1,2),(2, 3)}. Find the domain and range ofR. 2. Let R be a re...

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A: Given ODE is x2y''+(3x+x2)y'+(1-x)y=0        (1) We can write it as y''+3x+x2x2y'+1-xx2y=0          ...

Q: Find the Inverse Laplace of s+ 4 s2 +s - 6

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Q: please send handwritten solution for Q 6 only

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Q: Question 6. defined function is continuous everywhere: Determine for which values of a the following...

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Q: -3an The solution of the recursion relation ant1= n > 0, with ao = 1, (n+1)? " is an O None of these...

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Q: 2 Let a = -1 | and b = 1 | be two vectors 1 What is |al2|b|2 |a · b[? ?

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A: The answer for the above problem is given below

Q: Calculate the integral of x(1+ 3x)° dx .

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A: Given: 7. dxdt+dydt=18. ∑i=0nai(x)d(i)ydx(i)=f(x), where d0ydx0=y9. 3xy'+xz''-yz=0y-z'+y''=010. 1-xy...

Q: Which of the following is equal to Sin-1(-2-j2.5)? O 0.1343- j2.3445 O -0.5409 - j2.8003 O 2.4331+j3...

A: Note:-  sinx+j y =sinx coshy +j cosx sinhy  sinx- j y =sinx coshy -j cosx sinhy   Given expression i...

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Q: 2. Let V be the set of all real numbers with the two operations and defined by u v=u+v- 2 and ku = k...

A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three sub-pa...