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Find sequences {An} and {Bn} of numbers in (0,1], so that both An and Bn converge to 0, and lim sin(1/An) = 1 and lim sin(1/Bn) = -1 as n goes to infinity.
Conclude from the previous part that lim sin(1/x) as x goes to 0 does not exist.
Suppose the demand curve for a monopolist is QD = 500 - P, and the marginal revenue function is MR = 500 - 2Q. The monopolist has a constant marginal and average total of $50 per unit.
Lisa participated in a triathlon in which she swam 3 miles ran 5 miles and then bicycled 10 miles. Lisa ran twice as fast as she swam and she cycled three times as fast as she swam.
Use the formula to determine how long it takes the ball to return to the earth and Evaluate the maximum height of ball using given equation
on a centimeter dot array, draw all possible rectangles with an area of 16 sq cm and sides whose lengths are whole centimeters. label the lengths of two adjacent sides of each rectangle.
a small purse is full of coins. if you count them by twos, threes, or fives, there is one left. if you count them by sevens there will be none left. how many coins are in the purse?
Matrices are the most common and popular way to solve systems of equations. Provide an example of a matrix that can be solved using Gaussian elimination. Show specifically how row operations can be used to solve the matrix.
A cash register contains only five dollar and ten dollar bills. It contains twice as many five's as ten's and the total amount of money in the cash register is 640 dollars. How many ten's are in the cash register?
Translate the following argument in symbolic form and determine whether it's logically correct by constructing a truth table. If affirmative action policies are adopted, then minorities will be hired. If minorities get hired, then discrimination wi..
Eliminate the parameter to find a Cartesian equation of the curve. Sketch the curve and indicate with an arrow the direction in which the cuve is traced as the parameter increases
Matlab Richardson extrapolation, Write a Richardson extrapolation code and test it using f(x) = sin(x), x = 1.230959415400000
Coffee is being poured into a mug at a constant rate. Sketch a rough graph of the depth of the coffee in the mug as a function of time. Account for the shape of the graph in terms of concavity. What is the significance of the inflection point?
How many different ways are there for an admissions officer to select a group of 5 college candidates from a group of 9 applicants for an interview?
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