Consider the graph with vertex set { A , B , C , X , Y , Z } and edge list A X , A Y , A Z , B B , C X , C Y , C Z , Y Y . Without drawing a picture of the graph, a. list all the vertices adjacent to Y . b. list all the edges adjacent to AY . c. find the degree of Y . d. find the sum of the degrees of the vertices.
Consider the graph with vertex set { A , B , C , X , Y , Z } and edge list A X , A Y , A Z , B B , C X , C Y , C Z , Y Y . Without drawing a picture of the graph, a. list all the vertices adjacent to Y . b. list all the edges adjacent to AY . c. find the degree of Y . d. find the sum of the degrees of the vertices.
Solution Summary: The graphical representation of routes, the location is defined as a dot in the graph.
Consider the graph with vertex set
{
A
,
B
,
C
,
X
,
Y
,
Z
}
and edge list
A
X
,
A
Y
,
A
Z
,
B
B
,
C
X
,
C
Y
,
C
Z
,
Y
Y
. Without drawing a picture of the graph,
Consider the function f(x) = x²-1.
(a) Find the instantaneous rate of change of f(x) at x=1 using the definition of the derivative.
Show all your steps clearly.
(b) Sketch the graph of f(x) around x = 1. Draw the secant line passing through the points on the
graph where x 1 and x->
1+h (for a small positive value of h, illustrate conceptually). Then,
draw the tangent line to the graph at x=1. Explain how the slope of the tangent line relates to the
value you found in part (a).
(c) In a few sentences, explain what the instantaneous rate of change of f(x) at x = 1 represents in
the context of the graph of f(x). How does the rate of change of this function vary at different
points?
1. The graph of ƒ is given. Use the graph to evaluate each of the following values. If a value does not exist,
state that fact.
и
(a) f'(-5)
(b) f'(-3)
(c) f'(0)
(d) f'(5)
2. Find an equation of the tangent line to the graph of y = g(x) at x = 5 if g(5) = −3 and g'(5)
=
4.
-
3. If an equation of the tangent line to the graph of y = f(x) at the point where x 2 is y = 4x — 5, find ƒ(2)
and f'(2).
A marketing agency wants to determine whether different advertising platforms generate significantly different levels of customer engagement. The agency measures the average number of daily clicks on ads for three platforms: Social Media, Search Engines, and Email Campaigns. The agency collects data on daily clicks for each platform over a 10-day period and wants to test whether there is a statistically significant difference in the mean number of daily clicks among these platforms. Conduct ANOVA test.
You can provide your answer by inserting a text box and the answer must include: also please provide a step by on getting the answers in excel
Null hypothesis,
Alternative hypothesis,
Show answer (output table/summary table), and
Conclusion based on the P value.
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