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Psychologists interested in learning theory study learning curves. A learning curve is the graph of a function P(t), the percentage of a skill that someone has acquired as a function of the training time t. Supposed that P improves at a rate proportional to the percentage of the skill yet to be mastered. Assuming that everyone starts off ignorant, find a formula for P(t). What is lim P(t) when t is approaching positive infinity?
A box with a square base has length plus girth of 106 in. (Girth is the distance "around" the box.) What are the two possible lengths of the box, if its volume is 2200 in3?
Note the terms: 0% interest for ? number of years, the instant dollar discount, the retail price of the vehicle, and the interest rate of the loan. Given those figures, which is the better deal and why? Support your answer with calculations.
described the height of the ball above the ground, h, in feet, t seconds after the fall begins. How long will it take the ball to strike the ground?
the length of a rectangle is 4 less than twice the width. The are of the rectangle is 70. Find the dimensions of the rectangle.
Find the average rate of change from x=2 to x=5. Find the derivative f'(x) from first principles, by setting up the difference quotient, (f(x+h)-f(x))/(h) and finding lim h->0 (f(x+h)-f(x))/(h)
Let X be given the co-finite topology. Suppose that X is a infinite set. Is X Hausdorff? Should compact subsets of X be closed? What are compact subsets of X?
Calculate the probability that the rent of a randomly selected unit.
How many acres should the farmer allow for each vegetable in order to maximize profit?
the runners are running on circular tracks of which has a circumference of 1320 feet. the tracks are 100 feet apart and and the runners start opposite each other and move at the same constant rate of 880 ft/min. how fast are the runners separating..
Important information about Initial value problems, Solve the initial value problems, Find the particular solution of the differential equation (dy/dx) + ycos(x) = 6cos(x) w/ y(0) = 8
Calculate the expected value. How much should the company charge as an average premium so that it breaks even on its claim cost?
How many distinct isosceles triangles with sides of integral legnth have a perimeter of 40cm?
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