1. If you only had a graph of the second derivative, how could
you tell where the original function is concave down?
2. If you only had a graph of the second derivative, how could
you tell where the first derivative had a local minimum?
Use the first and second derivatives of
f(x)=3x4+4x3-96x2-192x+284 to give
as much information about the graph of the function as possible.
Use this information to sketch the graph.
What kind of information can be found in the “Economic Report of
the President?”
Find a web site that contains the “Economic Report of the
President“ and review the information that is available there. What
did you find that (1) was unexpected, (2) was most interesting to
you, and (3) you think might have the greatest value to an expert
in measuring economic damages?
(a) How do you find the second derivative of a function?
(b) If both are positive numbers, what does that tell you about the function itself?
(c) If we know that a function is increasing, but at a decreasing rate, what does that say about the first and second derivatives?
(d) Come up with a function where the first and second derivatives are non-zero but the third derivative is zero.
Plot the supply curve from the supply schedule information
provided.
(a) What can you explain from the graph?
(b) Can you identify any determinants?
(c) What happens if price changes?
(d) What happens if other determinants change?
Plot the supply curve from the supply schedule information
provided.
(a) What can you explain from the graph?
(b) Can you identify any determinants?
(c) What happens if price changes?
(d) What happens if other determinants change?
1.) Explain why the first derivative of the titration curve can
be used to identify the equivalence point of an acid-base titration
(or equivalence points for polyprotic acids).
2.) Explain the effect of pKa on endpoint detection
for the titration of a weak acid with a strong base:
3.) Explain the effect of acid strength (molarity) on endpoint
detecton for the titration of a weak acid with a strong base.
Can someone please explain the Carnot Cycle graph in terms of
what equations to use and the concepts.
This is what I think but I keep getting mixed up:
Path A to B which is Reversible Isothermal Expansion, Delta U=
0, and according to first law Q= -W and we use RTln V2/V1 for
W? In path B to C, the gas expand Adiabatically, so Q= 0
and Delta U= - W. Since it is expansion so the work will be...