a) State the number of edges in the complete graph K9, where each pair of distinct vertices is adjacent. ;) b) Let G be a simple graph with 8 vertices where each vertex has degree 3. Form the graph H by replacing each edge of G with a non-edge, and each non-edge between distinct vertices of G with an edge. What is the number of edges in H? Explain your answer. c) Explain why there cannot exist a simple graph of order 11, where the vertices have degrees 1, 1,2, 2, 2, 2, 3, 4, 4, 6, 6.

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A: Here we have two people are sharing 6 pies how many do each person get.  

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Q: The graph y = cosx, given the domain -4: has x-intercepts at and 4' 4 4 A 37 and 4 4 4 and 2

A: NOTE: Refresh your page if you can't see any equations. . to find the x-intercept take y=0

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Q: Match each range of angles with each inverse trig function. acrsin x csc arccos x sec-x cot 1x: arct...

A: Here we will see the correct range of each inverse trig. function,

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A: Note :- These are the multiple questions and according to our company guideline we can do maximum on...

Q: The surface z - - = 1 is a hyperboloid of one sheet. Select one: True False

A: The general form of the equation of hyperboloid of one sheet is: x2a2+y2b2-z2c2=1

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Q: B) Find the derivative of the foiiowing: 1) y = 2sin2(5x) ,2) y = x, 3) xsin-14y = y tan-14x 4) y = ...

A: As per the company  guidelines we have to solv first 3 subparts if suborats are not mentioned  So fo...

Q: Compute the flux of the vector field F = 3xzi + 5yk through the surface S, which is the hemisphere x...

A: The flux is given byflux =∫S  F→·n^  dShere,n^=x, y, zx2+y2+z2 in spherical coordinatesF→·n^ =x, y, ...

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A: Given query is to eveluate the limit.

Q: Choose 3 inequalities that form a system whose graph is the shaded region shown above. DA. 4x - 2y s...

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Q: G = {(1, 0), (2, 3), (0, -1), (-1, -2)} Is G-1 a function and why/why not? Yes, no two ordered pair...

A: Given  G = {(1, 0), (2, 3), (0, -1), (-1, -2)} Therefore G^(-1) = { (0, 1), (3, 2), (-1, 0), (-2, -1...

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A: Using euler method. 

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A: To find the first solution, just use the trigonometrical identities and easily find the required sol...

Q: x + 3 For which value of x is the function f(x) = x2 undefined? %3D -3 1 -3, 3 3

A: Given:- f(x) =(x+3)/(x2 -9)  To find:- Value of x where  function undefined

Q: dx x-1

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Q: using laplare definstui fud

A: Find the Laplace transform

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A: Question is solved.

Q: A given partial fraction 2x A B Cx +D (x- 1)(x+ 4)(x²+ 1) + X+4 X-a x² +1 B can be evaluated as: O 8...

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Q: Find the derivative of the vector function below r(x) = sin²(secx?)i +csc°(Vx² +1] 2 dd fil

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A: We need to evaluate :

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A: NOTE: Refresh your page if you can't see any equations. . take a synthetic division using x=-1

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A: The given integral is√(1+x3) limit from 1 to 2.

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Q: Integrands involving quadratic expressions |4x2 — 12х + 5 dx

A: Let I=∫4x2-12x+5dxTake 4 as common I=∫4(x2-3x+54)dx I=2∫(x2-3x+54)dxI=2∫(x2-232x+322-322+54)dxI=2∫x-...

Q: (1) d?y + 2y = 0 y(0) = 3; dy (at x = 0) = 2 dx? dp, dx d2v dy ....

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Q: cot x+1 V tan x +1 2 COS X cot x sin x tan x

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Q: Use the given vectors u and v to find the magnitudes of vectors u − v and −2u. u = 2i + 4j + 7k, v =...

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Q: Case 4: repeated quadratic factor (very hard!) 8dx • Example 1: r(r2+2)2

A: To evaluate: I=∫8 dxx(x2+2)2 Substitute x2+2=u⇒2x dx=du⇒dx=12xdu So, I=∫8 x(u2)du2x=4∫1x2u2du=4∫1(u-...

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Q: Determine the value(s) of x where the slope of the tangent to f(x) = (x – 7)(x² – 5) is –13.

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Q: d) Describe the continuity of this function and make a sketch of the graph.

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Q: Find the derivative of each function by using an appropriate differentiation rule. 1) F(x)= sin(3 l...

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Q: Compute N(0) if r(t)= and prove that T(0) and N(0) are orthogonal

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Q: YOUR TURN 2 Estimate the age of a sample with 1/10 the amount of carbon-14 as a live sample. 2. 18,6...

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Q: use rules of differentiation, find the derivative

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Q: 1 B. E 2n +1 2n +3 n=1

A: Solution of the above series is

Q: having

A: Please refer to the image below

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Q: If Ax) = x² + 3x – 2 and g(x) = X+2 then g(f(-1)) is equal to 6.

A: The objective of the question is evaluate the value at the given functions of composition.

Q: X+3 is x² -9 The y-intercept for the function f(x)= O (0, -3) 0, O (0, 3)

A: