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Let (a_n) evaluated from n=M to infinity be a sequence of real numbers. Then the limit lim as n-->infinity of a_n exists and is equal to zero if and only if the limit lim as n-->infinity of the absolute value of a_n exists and is equal to zero.
Prove and answer if it is still true if we replace zero in the statement above by some other number.
A medical equipment manufacturing company tested the reliability of blood pressure monitors. It measured the time to failure of 20 randomly sampled monitors it produced. Listed below are the 20 measurements (in months) for the time to first failur..
If a department has 10 men and 15 women, how many ways are there to form a committee with 6 members if it must have more women than men?
During the last hour, a telemarketer dialed 20 numbers and reached 4 busy signals, 3 answering machines, and 13 people. Use this information to determine the empirical probability that the next call will be answered in person.
The Marginal profit function.
Determine whether the following are equal. If not, which is smaller, and why?
Find the global extrema of the function f(x,y)= x^4 + 3y^2 on the closed region given by: [0 (
The line y=0.15x + 0.79 represents an estimate of the average cost of gasoline each year. The line 0.11x-y=-0.85 estimates the price of gasoline in January of each year.
A mini license plate for a toy car must consist of a letter followed by two numbers. Each letter must be a C, A or R. Each number must be a 3 or 7. Repetition of digits is permitted.
Let G = UT (n,F) be the set of the upper triangular n x n matrices with entries in a field F with p elements and 1's on the diagonal. The operation in G is matrix multiplication.
Solve the system with any method - Find which of the given two pairs are solutions for the following system
How to clarify a rotated conic section - how linear transformations can be used to study rotated conic sections. Your essay should include
Perform the indicated operation - Find the product. (x 3 - 5x 2 -1) 7x 2
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