9.3.13 Prove Proposition 9.3.4. Let a'(G) be the size of a maximum matching in a graph G. Then x'(G) ≥ |EG| a'(G)

Q: 10) Chapter 3.1 Show that the function f (x) = x* is decreasing on the open (Show Graph interval…

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Q: Let f be defined by the graph to the right. Find VK0.3)+ 1(1.1) - x) +1(-1)+1(2)-1(-*)

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Q: Find the absolute Minimum of f (x)= 12.1 [+ 4x - x^2 on [ 0, 5 (äbäi 1) * 16 12 20 7

A: Given  f(x)=12+4x-x2      0,5 f'(x)=ddx(12+4x-x2)=4-2x f'(x)=0 ⇒4-2x=0⇒2x=4  ⇒x=2 Critical point…

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: At which minimum and Type answer value does the function g(x) = 3x² - 4x² attain a - is the minimum…

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Q: 1. Graph f(x) = 3-* over the interval [-2, 2] y. 7 -8- -7+ 6+ -5-

A: The given function is:f(x)=3-x

Q: 6. Is the vertex for g (x) =- (x- 4) a maximum point e on the graph or a minimum point on the graph?

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Q: 6. Let F(X) = x²³² +6₂x²2²-15x-10 a) Find the intervals of increase / decrease of the function b)…

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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. (a) Find the values of X₁ and x₂ in the figure. (b) Find the largest positive number & such that:…

A: see below the answer and explanation

Q: 7. Which vertex will result in the maximum value of the function T = x - 3y? O (3.5, 4) (0, 4)

A: Answer and explanation is given below..

Q: The graph of y = f(x) is given below. y Graph of f (x) 4 3 2 3 4 5 67 8 9 Ref: Calculus: Early…

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Q: 5. Determine a parent function that matches each set of characteristics. a) The graph is neither…

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Q: 3.) if f(x)= akw f(x) = x-1 and (X) X-1 What is the valule of

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Q: 5) Use the limit process from Chapter 2.1 Find a formula for the slope of the graph of f (x) = 4x² +…

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Q: Consider the attached graph ‚which corresponds to a function h. see the graph in the images…

A: To determine the function h(x) representing the given graph.

Q: 1.54. (!) Let S = {(x, y) = R²: y ≤ x and x + 3y ≥ 8 and x ≤ 8). E a) Graph the set S. b) Find the…

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Q: O The function f (x) = 2e" has a domain of %3D A (-0,0) B) (0, 00) (c) (-∞,∞) and a range of A…

A: We find the domain and range of the function.