Let F be a forest with n vertices and k connected components, with 1< k

Q: 2. Graph y = 1+ 2sin (x- n) on 0 < x < 6TI.

A:

Q: Pr(A) = 0.5 Pr(B|A) = 0.2 Pr(B|A') = 0.8 Hence, fill in the tree diagram below: A B' В A' B' B

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Q: 1 Let f(r) = (r – 1)?, g(x) = 1– r², h(r) = 2(x+ 3)2 – 8, find for each function a) r- and y-…

A: Given :           fx=x-12gx=1-x2hx=2x+32-8

Q: 2/7,545

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Q: 10. Given h(x)(x 1)3 (x1)4 (x 3)2 (a) Determine the degree and end behavior. As χ →_oo : yos, t ve…

A: We have given,

Q: Q3) Plot a discrete graph using the equation below y[n]u[-1-n] -2.08 [n 1] +2.08[n - 2]

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Q: Find a simple graph with к(G) < \(G) < 8(G) (Whitney's inequality is strictly an inequal- ity).

A: Given a simple graph with                             κG&lt;λG&lt;δG.

Q: 21) Find the fourth degree Taylor poly nomial Centered at C=4 for tue function. 7 (x)=In(x) Anyeuns…

A: The n-th degree Taylor polynomial of the function fx  with centered at x=c is…

Q: 3. Discuss how to transform the graph of y = x2 in order to obtain the graphs of #2a and #2b above.…

A: 3(a):

Q: Given the function f(x)= 3x+9 / x2-25 a.) Determine the partition numbers: b.) Determine the…

A: Topic:- partition number and postive function

Q: Find the minimum of f(x) = 3 + 6*x + 5*x2 +3*x3 + 4*x4 in the range of [-2, 1]

A: the given function is f(x)=3+6x+5x2+3x3+4x4 find the derivative  f'(x)=6+10x+9x2+16x3 find the…

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

A: please find the attached answer

Q: If v is a leaf of a graph and u is the vertex adjacent to v, then ε(v) = ε(u) +1. State whether…

A: Solution:- Given:- v is a leaf of a graph and u is the vertex adjacent to v. Yes, this statement is…

Q: Let G be a simple graph with n vertices and m edges. Show that [xn-¹]XG(x) = [xn-2]XG(x) is m(m -…

A: We know that the chromatic polynomial of a graph G with n vertices and m edges can be expressed as a…

Q: Use the graph of m (t) and z (t) to determine all the true statements. Distance (meters) ANG 22…

A: Consider the graph which is given below :

Q: 2. For a given function f(x) – (x – 2)² + 6 a) Axis of symmetry : x= b) The vertex (h,k) is: ( c)…

A: The  x co-ordinate of the vertex lies on the axis of symmetry which is situated at the midpoint of…

Q: Draw the graph of f(x) = 52-4

A: f(x)=5x−4

Q: Given f(x) = 2x + 5 when x cannot equal 1, and f(1) = 6. a) Sketch the graph of f. b) For wha…

A: Firstly , we draw the graph of the given function and after that find the value of 'x' .

Q: S(x) = e¬z+5z-_1

A: The given function be f(x)=e^(-4x^(-4)+5x^(-2)-1)   As it is a exponential function , it is better…

Q: 3. What is the vertex of g (x) = x² + 5 ?

A:

Q: 1 is the graph of f (x) = 2/3 x + 3. -6-5 -4 -3 -2 -10 123456 -2 -3 -5 O False O True

A: Solved below

Q: 2. For a given function f(x) -(x – 2)2 + 6 a) Axis of symmetry : x= b) The vertex (h,k) is: c)…

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Q: Let G = (V, E) be a graph and A = max,ev{deg(v)}. Show that x(G) <A+1. Give two examples of graphs…

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Q: 20 6. f(x) = 0 +x, x #0 x a) Complete the table. f(x) -10 -10 -12 -8 -5 -2 -10.5 -9 -12 WORKING: 6…

A: At x = 5,the complete table:x-10-8-5-2-1.61.625810f(x)-12-10.5-9-12-14.114.112910.512

Q: Find P(Z<0.5) and show in graph.

A: We will find P(Z&lt;0.5)  By looking into z-table for one tailed

Q: Sketch a graph of f(x) (2x - 1 if x 2

A: To sketch the graph f(x) ={  2x-1 if x&lt;2               x-2  if x&gt;=2 for x&lt;2, y=2x-1…

Q: A ladder labeled as AB has length 4 units. One end, A, is Uniform([0, 4]). ~ placed on land, the…

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Q: 3.1.5. (-) Prove that a (G) > AG)+1 n(G) for every graph G.

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Q: (5) Show that we cannot build a bipartite graph with bipartition V(G) = Vị UV½ such that |V = 3 and…

A:

Q: (a) Lakarkan graf y = e=* dan y = x + 0.5 pada rajah yang sama. Sketch the graphs of y = e¬* and y =…

A: The equation in the form y=f(x) represents a curve in the plane. The point of intersection of the…

Q: A ladder labeled as AB has length 4 units. One end, A, is placed on land, the x-axis in the graph,…

A: