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Write the contrapositive of the following statement:
"If x^2+y^2= 9 then -3<x<3"
a horizontal,rectanular tank is 10' long,9'wide,8'high it is filled wiyh mud to a height of 5', how many barrels of mud is in the tank?
Find the prime of function
If the population mean is 36, are the serial killers significantly more introverted at the .05 level? Perform the appropriate one-tailed test.
Find the gradient of the function and the maximum value of the directional derivative at the indicated point:
Suppose A & B are Hermitian matrices and AB=BA, show that A and B are simultaneously diagonalizable, ie, there exists an unitary matrix C so that both C*AC adn C*BC are diagonal.
Show that the given relations are contradictions
Consider a Lagrangian system, with configuration space R^n, given by (x^1, ... x^n); and Lagrangian L(x', ..., x^n; v^1, ... v^n). Now consider a new system of coordinates, (y^1,... ^n),
How many different arrangements of the entries are possible? If the owners of the 1st, 2nd, and 3rd place entries will be awarded prizes of $100, $50, and $25 respectively, how many ways can the prizes be awarded?
Presume in community 1, 52% of individuals who will vote in election favor candidate A while while 48% favor candidate B. In community 2, 46% favor candidate A and 54% favor B.
Find the equation of the plane passing through (3,4,-1) and parallel to the vectors A=2i+j+k and B=i-3k.
Using calipers, you find that a copper cylinder has length 8.625 and diameter 1.218 . An electronic pan balance shows that its mass is 89.84 . Find the cylinder's density.
In finding the average size of automobile tire that is purchased, the mean or median size might be a tire that does not exist. Therefore, one would want to know the size of tire bought most often.
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