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- Discuss ways in which the current telephone numbering plan can be extended to accommodate the rapid demand for more telephone numbers. (See if you can find some of the proposals coming from the telecommunications industry.) For each new numbering plan you discuss, show how to find the number of different telephone numbers it supports.
Q. Write down 10 uses of Surface Integration.
A storage tank has shape of a circular cylinder .Suppose that the radius and height of the tank are measured at 1.5 m and 5m respectively with a possible error in calculating the capacity of the tank
Give your verdict. Present the final result in a simple language and underline the final
alpha=0.05.
[ Additional instructions: A) Only handwritten material on the answer sheet will be evaluated. De |
its screenshots. B) Write all the steps- including the hypothesis, and show calculations for co
answer sheet, even if Excel or any other software is used. If Excel or another software is used to
write the correct Excel function on the answer sheet.]
government claims that the stubble burning in the near by states follows a poisson process with a mean of 20 per day a) Estimate the probability of no burning per day
Suppose a particular tissue culture has area AA(tt) at time tt and a
potential maximum area MM. Based on properties of cell division, it is reasonable to assume that
the area AA grows at a rate jointly proportional to �AA(tt) and MM − AA(tt); that is
dddd
dddd = kk�AA(tt) [MM − AA(tt)]
where kk is a positive constant.
1 You may wish to begin your research by consuming the following articles:
Robert Eisner, The Misunderstood Economics: What Counts and How to Count It, Boston, MA: Harvard Business School Press, 1994, pp.
196-199 and Robert H. Frank, Microeconomics and Behavior, 2nd ed., New York: McGraw-Hill, 1994, pp. 656-657.
4 | P a g e
a. Let RR(tt) = AA′
(tt) be the rate of tissue growth. Show that RR′
(tt) = 0 when AA(tt) = MM/3.
b. Is the rate of tissue growth greatest or least when AA(tt) = MM/3? [Hint: Use the first
derivative test or second derivative test.]
c. Based on the given information and what you discovered in part (a), what can you say
about the graph of AA(tt)?
Poiseuille’s law asserts that the speed of blood that is rr
centimeters from the central axis of an artery of radius RR is SS(rr) = cc(RR2 − rr2), where cc is a
positive constant. Where is the speed of the blood greatest?
Solve (1+2xy)ydx+(1-2xy)xdy=0 by using inspection method
Known Matrix:
- Determine the characteristic equation det(A − λI) = 0 of the matrix above
- Determine the eigenvalues of the matrix and the basis of the eigenspace
Note: In matrix B, let the value of a be so that the eigenvalues and the basis of the eigenspace are dependent on a.
The data below gives the end year profit in million shillings of twelve randomly selected pharmaceutical firms in Nairobi county;71.2,52.7,95.7,63.5,91.8,102.7,87.6,77.9,81.8,90.1,123.7,79.9.It is known that the average end of year profit of the twelve firms is 89.91m. An average value less than 89.91m is considered unacceptable.
a.)Test the null hypothesis at 5% level of significance. What is the value of your standard deviation, tabulated and calculated test static and decision?
b.) Construct a 95% confidence interval for the sample mean
#339914 on Dec 2023