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In Calculus: Explain the difference between a function and a relation in your own words. Consider the equation x2 + y2 = 5 and explain why you believe it's a function or not? Give at least two reasons to support your answer.
How many different ways can the letters of the word "BRKIZOVER" be arranged in a row if it is required that the letters IZO remain next to each other in order?
Suppose that derivative of the function f is given by f'(x) = 3x and suppose that the point (4,2) is on the graph of f. Write an equation of a line tangent to the graph of f at the point (4,2)
There are many applications used in the area of solving systems of equations. For example, systems of equations can be used to find the optimal number of items to produce to ensure the highest profit of those particular items.
An AE student named Seoung devises a coded system of arithmetic for keeping his financial information private. His coded system of arithmetic is identical to the usual one except that each digit 0 to 9 has a value different than from standard arit..
Let R be a commutative ring with 1. Prove that if (a,b)=1 and a divides bc, then a divides c. More generally, show that if a divides bc with nonzero a,b then a/(a,b) divides c.
Find a matrix A that admits no LU decomposition, even if we only require that L is lower triangular ( not necessarily unit!) and U is upper triangular.
Find the tangential and normal components of the position vector p(t) =
A furniture manufacturer produces sofas, tables, and chairs. The profits per item are, respectively, $70, $120, and $80. The pieces of furniture require the following labor-hours for their manufacture.
If the price is raised to $110 you predict that you can sell 25 of these premium toasters at your Scottsdale, Arizona location. Find the equation of the line and you can write your answer in the following form: p = mx + b.
Probability distribution of the model, Alice Tanner is a nurse on the night shift from 10:00 P.M. to 6:00 A.M. at Community Hospital. She has 15 patients for whom she is responsible in her area
Three workers sort 66 boxes in a day. One of the workers is three times more productive than the second worker and twice as productive as the third worker. How many boxes did the second most productive worker sort?
for the remaining 30% you choose randomly among the 5 answers. What percent of the answers should you expect to get right? learning about conditional probability and independence
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