Question

Draw a graph for the function using information from the function and its first and second derivatives.

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Answer #1

Let f(x) be a twice differentiable function (i.e. its first and
second derivatives exist at all points). (a) What can you say about
f(x) when f 0 (x) is positive? How about when f 0 (x) is negative?
(b) What can you say about f 0 (x) when f 00(x) is positive? How
about when f 00(x) is negative? (c) What can you say about f(x)
when f 00(x) is positive? How about when f 00(x) is negative? (d)
Let...

Find the first- and second-order partial derivatives for the
following function. z = f (x, y) = (ex +1)ln y.

Draw a graph for each of the following scenarios and explain why
your graph corresponds to the scenario. Label axes and include
scales.
a) Show and Explain a graph to correlate with the function of
the amount of gas in a gas tank when a driver refills the tank on a
drive across the country question mark.
b) Show and Explain a graph to correlate with the function of
the height of an elevator stopping at each floor on the...

Make a combined sign diagram for the first and second
derivatives of ?(?) that includes all C#’s, PIP’s, and domain
restrictions (vertical asymptotes). Identify all intervals of
increasing, decreasing, concave upward, concave downward, relative
extrema, and points of inflection. Sketch the graph of ?(?). Label
all plotted points on your graph. (with their ordered pairs) 31.
?(?) = (? + ?) (? − ?)^2

1. Economic Growth
a. Use a stylized graph to draw an aggregate production function
(APF).
b. Using a new stylized graph for each example show how the
following would change the APF.
1. A decrease in the labour force participation rate (1
mark)
2. An increase in the capital stock of a country (1 mark)
3. A natural disaster that damaged critical infrastructure (1
mark)
c. Using a stylized graph, draw the labour market in
equilibrium.
d. How will an...

Sketch a graph of the function
h(x)=3/2sec2x
by first sketching a graph of y =
3/2cos2x and then drawing the graph of
y=h(x) on top of it. [Since you are drawing two graphs on
the same set of axes, either use a different color to distinguish
between the graphs or make one a dashed curve and the other solid.]
Be sure to show work and intermediate steps to demonstrate that you
did this WITHOUT a calculator or graphing program. On...

Activity 2
Draw a graph of a wave
summation that resulted from two stimuli.
Make your graph using the follow
perimeters:
Latent period for both stimuli of 2msec
Indicate both points of stimuli with an arrow
Force of contraction of the first contraction 2g
Second contraction of 4gs
Both contractile periods of 10 msec
First relaxation period of 2msec with a drop in force of
.5g
Final relaxation period of 10msec.

Using the loanable funds model (from chapter 10) of interest
rate determination (draw a graph), show the effect on the
equilibrium interest rate and quantity of loanable funds in the
United States, there is an increase in net capital inflow
into the United States.

Write down and describe the value discount function. Draw a
typical graph of this function. Explain the psychological meaning
of this graph. What is this function normally used for? How could
it explain individual differences due to addiction to, say,
nicotine or cocaine?

2. a) Given f(x)=x^2-2x, Draw the graph of the
function and find an approximation for
the area bounden by the graph from x=2 to x=4 using 4
subintervals.
b) Find the area bounded by the graph of f and the x-axis from
x=2 to x=4.
c) Find the area bounded by the graph of f and the x-axis from
x=0 to x=4.
(Note that the functional values are negative from x=0
to x=2)

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