How does a competitive capitalistic society affect marriage and the family (select all that apply)
a.delays marriage
b.decreases childbearing
c.decreases singlehood
d.increases young marriage
e.decreases traditional nuclear family
How does a company’s operating leverage effect its profitability? InWhy is it important for a manager to understand break-even or cost-volume-profit analysis? What is incremental analysis? In what types of situations is incremental analysis most useful?
How does a capital market differ from a money market?….Please explain.
Question:How does a capital market differ from a money market?Solution:The money and capital markets have the common function of providing the capital funds to thecompanies requiring it. The…
How do CRM representatives convey the value of customer complaints to your organization? Some firms believe that complaints reflect negatively on the employee, the manager or the company and therefore may discourage staff from recording or being open to complaints?
You write the notation using the limit notation.
So first of all before you write the limit notation you need to look at the degree of the polynomial and determine if the graph is odd or even.
Let’s take a look at the below polynomial
##f(x)=x^3-3x^2-x+2##
The degree of the polynomial is 3 which is odd number. So the rule here is that if the degree is odd then the will be opposite and if it is even it will be even.
## lim f(x)_(x -> ∞)=∞##
## lim f(x)_(x -> -∞)=-∞##
The notation is read as, “The limit of f(x) as x goes to [infinity] is …[infinity]”
Here is a graph of a the function and as you can see the goes the opposite direction. graph{x^3-3x^2-x+2 [-10, 10, -5, 5]}
Now let’s do even one. ##x^2+1 ##
The degree is 2 so the function is even. and you write the limit function as below.
## lim f(x)_(x -> ∞)=∞##
## lim f(x)_(x -> -∞)=∞##
Let’s graph the function and you can see the in the parabola so it doesn’t matter what number you pick for x it will always be positive thus the end behavior will go the same direction.graph{x^2+1 [-25.66, 25.65, -12.84, 12.83]}
It is ##log_3 9=2##
By definition the logarithmic form ##log_b x=y## is equivalent to the exponential form ##b^y=x##
Hence from the given ##3^2=9## you have ##b=3## ,##y=2## , ##x=9##
hence the logarithmic form is ##log_3 9=2##
First split the interval ##[a,b]## into 4 equal subintervals:
##[x_0,x_1],[x_1,x_2],[x_2,x_3]##, and ##[x_3,x_4]##.
(Note: ##x_0=a## and ##x_4=b##)
The definite integral
##int_a^b f(x)dx##
can be approximated by
##T_4=[f(x_0)+2f(x_1)+2f(x_2)+2f(x_3)+f(x_4)]cdot{Delta x}/{2}##,
where ##Delta x={b-a}/4##.
I hope that this is helpful.
##x=2″ “## or ##” “x=46##
First multiply by ##4## to make all of the coefficients into integers:
##4P(x) = 4(0.25x^2-12x+23) = x^2-48x+92##
By the rational root theorem, any of ##x^2-48x+92## (and therefore of ##P(x)##) are expressible in the form ##p/q## for integers ##p, q## with ##p## a divisor of the constant term ##92## and ##q## a divisor of the coefficient ##1## of the leading term.
That means that the only possible rational are:
##+-1, +-2, +-4, +-23, +-46, +-92##
Trying each in turn we soon find:
##P(color(blue)(2)) = 0.25(color(blue)(2))^2-12(color(blue)(2))+23 = 1-24+23 = 0##
So ##x=2## is a zero and ##(x-2)## a factor:
##x^2-48x+92 = (x-2)(x-46)##
So the other zero of ##P(x)## is ##x=46##
How does Adverse Selection differ from Moral Hazard? Include in your answer two tools that financial intermediaries may use to reduce each of these two problems associated with asymmetric information.
If the leading coefficient is negative, the polynomial function will eventually decrease to negative infinity; if the leading coefficient is positive, the polynomial function will eventually increase to positive infinity.
This answer assumes by leading coefficient you mean the coefficient of the highest powered ##x## term (the normal usage).
If ##g(x)## is a polynomial with greatest degree ##n##then if ##m > n##, the absolute value of ##x^m## will be greater than the absolute value of ##g(x)## once ##x## becomes sufficiently large.
For example if ##g(x) = 5x^2 – 4x +12####x^3## will have an absolute value greater than ##g(x)## provided x is greater than 3.
Since the term with the highest exponent will eventually provide a value that exceeds the combined value of all other terms, the sign of that term determines the eventual direction of the function value.
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