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Question: (a) Derive formulas for the first and second derivatives of the logistic function:
y = L/(1 + Ae-kt)
for L, A, and k positive constants.
(b) Derive a formula for the t value of any inflection point(s).
(c) Use the second derivative to determine the concavity on either side of any inflection points.
MODELING WITH DATA Annual retail sales in the United States from 1990 through the year 2000 (in billions of dollars) are given in the following table.
Find the distance between the two parallel planes : 5x + y - z = 1 and 10* + 2y - 2z = 5. You should be able to use your plan above to help with this one.
Let A be the area of a circle with radius r that is increasing in size with respect to time. If the rate of change of the area is 12 cm/s, find the rate of change of the radius when the radius is 18cm.
Determine whether the following arguments are inductive or deductive. - Harry will never be able to solve that difficult problem in advanced calculus in the limited time allowed.
find exact value of expression. show work. please show easy way.sin-1
Please elaborate on the alignment between the 4Ps of marketing and a product life cycle. Consider the product you are using in the course for your response. How might the 4Ps change through its life cycle and why?
What is the probability it would be a student, a faculty member, an admin staff member, a faculty or admin staff member and anyone except an admin staff member?
A researcher expects a treatment to produce an increase in the population mean. The treatment is evaluated using a one tailed hypothesis test, and the test produces z = +1.85. Based on this result what is the correct statistical decision?
Discuss your most recent decision to purchase a major item (entertainment center, automobile, home, etc.).
Suppose that you randomly draw 18 cards from a standard deck of 52 cards. what is the probability of drawing at least 6 hearts?
A lottery is run as follows. Twelve slips of paper are placed in a bowl. Each slip has a different symbol on it. A player makes an ordered list of these twelve.
determine the sample process including sample contact survey distribution and survey collection.administer the
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