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Questions:
Find the rate of change of quantity with respect to price, dD/dp. How many units will consumers want to buy when the price is $25 per unit? Find the rate of change at p = 25, and interpret this result.
manufacturer of mp3 players is preparing to set the price on a new model.demand is thought to depend on the price and
A factory produces fuses, which are packaged in boxes of 18. Six fuses are selected at random from each box for inspection. The box is rejected if at least one of these six fuses is defective. What is the probability that a box containing nine def..
Vectors are used in physics to estimate how much tension is in the cables holding a weight. Suppose a 100 lb weight is hung from the ceiling using 2 steel cables. We want to calculate the tension that will be needed so we can use a cable which is..
the circle is circumscribed by the pentagon as shown (not drawn to scale). If QZ=10, YX=9, XW=9, UW=17, and SU=10, find the perimeter of the pentagon.
A student and a professor each choose a number between 1 and 7 (1 and 7 are both possible choices). What is the probability that the two choose the same number?
Optimization. A steel pipe is being carried down a hallway 9 ft wide. At the end of the hall there is a right-angled turn into a narrower hallway 6 ft wide. What is the length of the longest pipe that can be carried horizontally around the corner
explain in your own words the difference between zero divided by seven and seven divided by zero. show a way of writing
What is the marginal product of the first worker? What is the marginal revenue product of the first worker? Fill in the rest of the table. How many workers will this firm hire at a wage of $7
Find the equation of the tangent line to the curve y = 2x3 - 5x at the point where x = -1. If y3x = (sin x)(e2x). Find dy/dx
Given the position vector r(t) = (2t2)i + (1 - 4t2)j. Determine the velocity acceleration and speed at time 1 = 2. Find the distance and displacement over 0 ≤ t ≤ 1.
the cost to rest a car is 30 per day.write an expression for the cost of renting a car for d days. make a table to
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