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A CAT scan produces equally spaced cross-sectional views of a human organ that provide information about the organ otherwise obtained only by surgery. Suppose that a CAT scan of a human liver shows cross-sections spaced 1.5 cm apart. The liver is 15 cm long and the cross-sectional areas, in square centimeters, are 0, 17, 58, 77, 95, 106, 118, 127, 64, 39, and 0. Use the Midpoint Rule with n = 5 to estimate the volume V of the liver. V = ?
A rectangular package can have a maximum combined length and girth (perimeter of a cross section) of 108 inches. Find the dimensions of the package of maximum volume. Assume cross section is square.
Show that the greedy algorithm for making change for n cents using quarters, dimes, nickels and pennies has O(n) complexity measured in terms of comparisons needed.
You own a portfolio that is 38 percent invested in Stock X, 22 percent in Stock Y, and 40 percent in Stock Z. The expected returns on these three stocks are 10 percent, 15 percent, and 12 percent, respectively.
Justify the conclusion by describing the relevant information from the output.
Explain how the temperature difference between the poles and the equator drives the motion of the oceans and atmosphere. What are the differences between ice caps and glaciers?
Probability : Coin flips - What is the probability that someone is on the committee, but not all six people?
Probability Distribution Function. Suppose that the number of pounds of grapes sold by the Smalltown Co-op grocery store in a day is equally likely to be anywhere between 0 and 100 pounds (fractional values are possible)
Using one proportion Z test to determine
Compute the derivative of the function using the difference quotient and find the equation of the line that is tangent to its curve for x=c
Each page of a book will contain 30in^2 of print, and each page must have 2-in margins at top and bottom and a 1-in. margin at each side.
How do you solve for the conditional probability of a false positive for a cancer test?, An experimental test to detect a particular type of cancer indicates the presence of cancer in 90% of individuals known to have this type of cancer, and in 15..
This assignment has two question related to maths. Questions are related to bifurcation cascade and logistic map.
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