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Question: (a) Twenty basketball players are going to be drafted by the professional basketball teams in Philadelphia, Boston, Miami, and Toronto such that each team drafts five players. In how many ways can this be accomplished?
(b) In how many ways can 20 players be divided into four unnamed teams of five players each?
(The angle between two curves is the angle between their tangent lines at the point of intersection. Give your answers in degrees, rounding to one decimal place. Enter your answers as a comma-separated list.)y = 7x2, y = 7x3
If an open box has a square base and a volume of 96 in. and is constructed from a tin sheet, find the dimensions of the box, assuming a minimum amount of material is used in its construction.
A spin system consists of spins that have a non-degenerate ground state and an m-fold degenerate excited state with energy ε. The spins are interacting so weakly that they be considered as independent.
The side of a blade designed to cut leather at a shoe factory can be described as the region bounded by y =4 cos2x and y =4 and from to x = 0 to x = 3.14.
Suppose that consumers become pessimistic about the future health of the economy. What will happen to aggregate demand and to output? What might the president and Congress of the US have to do to keep output stable?
When is the particle moving in the positive direction? (Enter your answer using interval notation.) Find the total distance traveled during the first 6 s. ft Find the acceleration at time t (in ft/s2).
A hardware store stocks eight types of pipes, one of which is stainless steel (SS). Assuming there are at least 20 pipes of each type, how many ways can a total inventory of 20 pipes be distributed among the eight different types if the inventory..
Find the gradient of f(x,y) at (3,2). Compute the directional derivative (triangle u) f(3,2) where u is the unit vector in the direction of v =
What happens to the optimal dual variables if the constraint y1 + 6y2 = 15 is changed to y1 + 6y2 = 15.1?
A tire on a car rotates at 500 RPM (revolutions per minute) when the car is traveling at 50 km/hr (kilometers per hour). What is the circumference of the tire, in meters?
prove that if f is differentiable at a and fa 6 0 then f is also differentiable at a. give an example to show why the
Nico is saving money for his college education. He invests some money at 7%, and $1500 less than that amount at 6%. The investments produced a total of $235 interest in 1 yr. How much did he invest at each rate?
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