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A 6.00 in radius cylindrical rod is 2 ft long. Use a differential to approximate how much nickel (in in^3) is needed to coat the entire rod with the thickness of .12 in.
keywords: integrals, integration, integrate, integrated, integrating, double, triple, multiple
Probability Slips of paper marked with the numbers 1,2,3,4, and 5 are placed in a box. After mixing well, two slips are drawn.
Mean and Variance and Error Probability, Binary data are transmitted over a noisy communications channel in block of 16 binary digits
Let A be a positive definite matrix. Show that X has a unique positive square root. That is, show that there exists a unique positive matrix X such that X^2 =A.
Determine the probability on sales
Recall that if z=x+iy then, x=(z + zbar)/2 and y=(z-zbar)/2. By formally applying the chain rule in calculus to a function F(x,y) of two real variables, derive the expression
Use the definition of the derivative to find the derivatives of the following functions: Use the definition of the derivative to write out the derivative of h(x) where h(x)=f(x) + g(x). Can you rearrange the terms to write this in terms of the deri..
Graphical Probability and Graphical Cumulative Probability. A fair coin is tossed 10 times. Let X be the number of tails observed.
Maximizing the Sustainable Yield, A lake has a carrying capacity of 10,000 fish. At the current level of fishing, 2000 fish per year are taken and the fish population seems to hold fairly steady at about 4000.
Let N be a positive integer. Let d be an integer relatively prime to phi(N) (phi denotes the euler totient function). Prove that there exists a d' in Z (=integers) with dd'=1 mod phi(N).
A firm has two fixed resources that impose limits on its production activities. For a particular period of time it has 30 hours of resource 1 available and 80 hours of resource 2.
Identifying and Recognizing Variations in Sets, I am currently working on sets and how to identify/recognize variations based on symbols. Is there any kind of "outline" or list/reference that I can utilize to better understand their core meaning?
Important information about Binomial Random Variable, Four cards are selected, one at a time, from a standard deck of 52 cards. Let x represent the number of aces drawn in a set of 4 cards.
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