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In a ballroom dance class, participants are divided into couples for each drill session. One partner leads and the other follows for three minutes, and then the couple switches roles for the next three minutes.
(a) Only four people show up on time. How many ways are there to pair them up?
(b) If instead six people show up on time, how many ways are there to pair them up?
(c) Assume all m people in the class arrive on time. (There are an even number of people in the class.) How many ways are there to pair them up?
Let E be an open and convex subset of R^n and let f in C^1(E). Show that f satisfies the Lipschitz condition on E if and only if its derivative Df is bounded on E, that is, there exists a constant M => 0 such that the norm of
The marketing manager wants to do a new survey and plansto contact 198 customers.
find an equation of the line passing throughout (-3,4) and parallel to the x-axis.
The Video Club Martin rents movies at "regular price" andat "half price". However, the films are always half price on Sunday. Model the price of movies Video Club Martin as a Markov chain.
money is deposited into the account at a continuous rate of $2000 p.a at a continuous rate of 8% p.a compounded quarterly. Express the amount as an exponential function of time hence find the amount in the account after 5 years.
jet copies james banks was standing in line next to robin cole at kleckos copy center waiting to use one of the copy
What are branch points and branches. What is the principal branch. What are the 2 branches of z^.5; which is the principal branch
Consider the function f(X)=ln(x^2+1). Calculate the slope of the tangent line at the point (2,ln(5)) to two decimal places.
each function graphed is of the form ya sin bx or ya cos bx where b greater than 0. determine the equation of the
The ordering and transportation cost C for the components used in manufacturing a product is C=200(500/x^2 + X/x+300), x > or equal to 1 where C is measured in thousands of dollars and x is the order size in hundreds. Find the rate of change of C ..
CARPENTRY Mrs. Valdez can assemble a chair in 1 day and a table in 4 days. Graph the function to determine how many of each type of furniture Mrs. Valdez can assemble in 20 days. Is the function continuous or discrete? Explain.
Two minor league baseball players got a total of 300 hits. Washington got 12 more hits then Sanchez. Find the number of hits for each player.
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