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the dimensions of a rectangle are such that its length is 3 in more than its width. if the length were doubled and if the width were increased by 1 in, the area would be increased by 104 in what are the length and width of the rectangle?
Think of a mathematical function that represents something from your own life. For example, Assume the number of beers you drink depends on the number of football games you watch.
A 6.00 in radius cylindrical rod is 2 ft long. Use a differential to approximate how much nickel (in in^3) is needed to coat the entire rod with the thickness of .12 in.
Problems Involving a Binomial Distribution About 30% of adults in United States have college degree.
Explain the concept of inverse variation. Provide two examples. What is the vertical asymptote for the function y = ( x^2 - 4) / ( x - 2 )?
Integrate the integral below using the partial fractions method. (S represents the sign for integration) S x^3 + 4 / (x^2 - 1)(x^2 + 3x + 2) dx
A spinner is used for which it is equally probable that the pointer will land on any one of six regions. Three regions are colored red, two are colored green and one is colored yellow
Use residues to evaluate the improper integral from 0 to infinity: Use Jordan's Inequality to evaluate the improper integral from -infinity to infinity:
Find a basis for the col(A) and a basis for col(A^t).
Joint frequency table which summarizes voting trends in the most recent Presidential election, Suppose a deck of 10 cards each with a different digit from 0-9 are shuffled and a card from the top of the deck is drawn.
Sometimes (for example 1/12 ) only part of the decimal repeats while in other cases (for example 1/7 ) the whole decimal repeats. Assuming a/b is a reduced fraction, how can you tell which of these two scenarios will occur? Explain.
Solving probability problems based on combinations
Let P be the point (6,0), let Q be the point (0,4), and let R be the triangular region with with vertices at P, Q, and the origin. Determine the volume of the solid of revolution formed when R is revolved about the y-axis.
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