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Determine the number of three digits which can be formed from digits 1,2,3,4,5, and 6 if no repetitions are not allowed and if repetitions are allowed.
Sketch the level curve through P showing level value, and find a vector normal to this curve at P. Find the direction (i.e. a unit vector) along which f increases most rapidly at the point P.
What must be true for a pentagon so that it will tessellate a plane?
Assuming that the total cost per day, C(x), is linearly related to the total output per day, x, write an equation for the cost function.
Suppose that the sample is enlarged to 14 measurements, by including two additional measurements having a common value of 27 each. Find the standard deviation of the sample of 14 measurements.
How fast is the distance between the cyclists decreasing at the moment when cyclist A is 4 miles from the intersection, and cyclist B is 3 miles from the intersection?
Find the vertices, foci, and asymptotes of the hyperbola also sketch the graph and Find the equation of an ellipse.
a manufacturer can produce cassette tape records at a cost of $40 a piece,its estimates that if the tape records are sold for p dollar a piece.consumer will buy 120-p of them a month , express the manufacturers monthly profit as a function of pric..
Problem: For each series, find an explicit formula for the sequence of partial sums and determine if the series converges.
how can equations and inequalities help a business maximize profit or minimize costs? What is the importance of understanding hoe to set up and solve equations and inequalities.
Your boss has asked you to put together a report showing the relationship between these two variables. What could you present and why?
Find the expected payback for the games of chance described in exercise, In one form of roulette, you bet $1 on "even." If 1one of the 18 even numbers comes up, you get your dollar back, plus another one. If 1 of the 20 noneven (18 odd, 0, and 00)..
Let r = 1 - 2sinθ. Convert the polar equation to a rectangular equation. Then sketch a graph of the polar equation on the graph provided. Show all necessary work
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