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Thus, to understand how people do mathematics, we must understand the cognitive origin of this experience, that is, we must work to understand the cognitive mechanisms that allow for the reification of abstract ideas. Most writing about this phenomenon has been of a philosophical nature, but what is needed now is a cognitive account of it. Natural category representation To develop a theory of how people might represent mathematical objects in the mind, we should look to theories of how they represent more familiar objects such as dogs or tomatoes. What of this mathematics as tools?
Find the component form of the vector v that has an initial point at (1,-2,2) and a terminal point at (3,-3,0) find the component form of the vector w if ||w||=4 and points in the direction opposite v. hint: normalize v first.
A widget distributer expects to sell 9000 lots of widgets during the coming year at a steady rate. Yearly carying costs (to be computed on the average number of lots in stock during the year) are $35 per lot
Use the first derivative test to locate and identify all relative extrema"
What is the area of the region bounded by y=sin(x), y=cos(x), and the x-axis between x=0 and x=pi/2
determine how much was borrowed at each rate if the annual interest was $130,500 and the mount borrowed at 10% was four times the amount borrowed at 7%. solve the system using matrices.
Question: Estimate the true proportion of heads. Use a 95% confidence interval. Don't forget to check the conditions first.
Using the least squares method answer the following. What are the main strengths of this method?
What is the area of the polygon given below?
what is the probability that he will get exactly two strikes in four attempts? At least two strikes in four attempts?
Find the Riemann sum for the function f(x) = x^2 on the interval [-4, 2] where the constituent subintervals are [-4,-3], [-3, 0], [0, 2], and the evaluation points are at the left-hand endpoint of each subinterval. Your answer should be an integer..
A garden table and a bench cost $600 combined. The cost of the garden table is three times the cost of the bench. What is the cost of the bench?
The probability that a house in an urban area will be burglarized is 5%. If 50 houses are randomly selected, what is the probability that one of the houses will be burglarized?
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