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Let f (x, y) = 2x2 + 3y2 represent the height of a mountain above the point (x, y). Let the positive x-direction point East and the positive y-direction point North. Suppose that I am standing above the point P (3, 2) and sit a ball down. Which direction best represents the direction that the ball will start to roll?
Suppose demand is expressed as QD = 300 - 50P. If we want to make this equation consistent with the typical supply and demand diagram, this equation must be stated as:
Control A certain machine that is used to manufacture screws produces a defect rate of .01. A random sample of 20 screws is selected.
Given that the acceleration vector is a(t) = (-9cos(-3t)) i + (-9sin(-3t)) j + (-2t) k , the initial velocity is v(0) = i + k , and the initial position vector is r(0) = i+j+k , compute:
the population of a city can be modeled by p=125000 e^0.02t where t is the number of years since 1990. what was the population in 1995?
Suppose, however, that the setting has changed during the course of production, so that the distribution of the diameters produced is well approximated by a normal distribution with mean 0.399 in. and standard deviation 0.002 in. What percentage o..
Mayall Corporation is developing standards for its products. Each unit of output of the product requires 0.92 kilogram of a particular input. The allowance for waste and spoilage is 0.02 kilogram of this input for each unit of output.
What is the probability that all four have NASCAR as their favorite?
What type of distribution would the instructor most want to see if the best result is that most students earn an average score?
A spherical tank of radius 3m is half full of oil that has a density of 900kg/m3. Find the work W required to pump the oil out of a spout which extends 1.5m past the top of the sphere. (Use 9.8 for g and 3.14 for . Round your answer to three signi..
The demand function is: D(q) = 300/[4q+3] per unit. Find the total mount of money consumers are willing to spend to get 10 units of the commodity.
A dance team knows 14 routines of which 7 are tap, 5 are ballet, and 2 are modern. The program can consist of any four routines. In how many ways can the manager choose which routines to present if there are no restrictions?
How many nickels does he need to weigh to obtain an average accurate to within 10 milligrams?
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