Let T be a tree with average vertex degree d. Determine n(T) in terms of d. Select one: O a. n(T) = 2d +1 O b. n(T) = 2(d - 2) O c.n(T) = d. n(T) = %3D

Q: For what values of a and b does the graph of (a(x+bln(x) have a local maximum at the point (4,2) ?

A: Here a function (a(x+bln(x)) is given and this function has locak maximum at x=4 and maximum value…

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: Consider the following graph. • V(G) = {v1, v2, v3, v4}, e(G) = {e1, e2, e3, e4, e5}, E(G) = {(e1,…

A: Solution:

Q: S2x - 1, for x < 2, 12-x, for x 2 h(x) = Graph. 3) %3D

A: The given function is

Q: Consider the following graph. • V(G) = {v1, v2, v3, v4} e(G) = {e1, e2, e3, e4, e5, e6} E(G) = {(e1,…

A:

Q: If A = {xeR: 2≤ x ≤5}, B = {xeR: − 2 ≤ x ≤ 1}, C = {xeR: -1 < x ≤ 1}. a) Sketch the graph of Cx…

A: information provided. However, I can guide you through the process of sketching the graphs of the…

Q: 1. Find all values of x where a) f(x) = 0, b) f(x) > 0, and c) f(x) 0 when c)f (x) <0 when

A:

Q: Let f(x)= x if x≥6 6 if x<6. a. Find ​f(1​), ​f(6​), and ​f(7​). b. Sketch the graph of y=​f(x).…

A: Please refer the attached image for complete solution.

Q: Both OM 0.287 0.147 0.716 Neither 0.144

A: Solution

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: , c(0)= 2, c(-2) +C(2)= 3, c(0) + 3c(-2)/2=

A: The complete solution is in below

Q: Graph h(t) = t + 5t + 4. 10+

A:

Q: Given the function P(x) = x(x-8)(x + 2), find its y-intercept: its x-intercepts: When →∞, y → ? v…

A: The solution is shown in step-2

Q: Graph g(t) = -2(t+1)² - 4. 10 9

A: given function

Q: The graph of f(x) = -x² - 5x+6 has the point (-8, 2) on it. O True O False

A: The function is given by fx = -x2-5x+6                                .........1 The point is  x, fx…

Q: Find the vertex of: f(x) = (x − 2)² – 1 - The vertex is

A:

Q: The graph of y = f(x) is shown below. -7-6-5-4-3- T .F. 5 4 3 2 1 2 3 4 4 H 3 4 5 6 7

A: From the given graphParent function f(x)=y=x2

Q: Given g(x) = (2x-6)(x+9), determine the vertex. Be sure to include both the vertical and horizontal…

A: First make perfect square then compare with equation of parabola

Q: Graph z(t) = i + 2eit

A: We have to choose abscissa as t and ordinate as y.

Q: Graph h(t) = = 2t² + 8t + 9. 10+ 9 8 7- 6- 5- 4 3 2- 1 10-9-8-7-6 -5 -4 -3 -2 -1. -1 234 -5. -6 -7…

A: Given ,  h(t)= 2t2+8t+9                 x1            h(x1) -1            3 -2 1 -1.5 1.5…

Q: 1. fox) = x(x-2)(x+ 4)

A: "Since, you have asked multiple question, we will solve the first question for you. If you want any…

Q: Let y = f(x) have the graph shown. 61 2 -4 -2 2 Evaluate (or estimate) the following numbers a) f(0)…

A: Given: