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Question: a. When asked to prove that the difference of any irrational number and any rational number is irrational, a student began, "Suppose not. That is, suppose the difference of any irrational number and any rational number is rational." What is wrong with beginning the proof in this way?
b. Prove that the difference of any irrational number and any rational number is irrational.
Show that the Sierpinski carpet has Lebesgue measure 0. Show that the Sierpinski carpet has Hausdorff dimension log3 8. Show that for s 0 by integrating e-sx sin2xy with respect to x and y.
Use a graphing utility to graph the function f(x) = x2 e -x . Use the graph to determine where the function is increasing and decreasing, and approximate to the nearest hundredth any relative maximum or minimum values.
Find the rate of change of temperature at P in the direction of the origin. Find the rate of change of temperature at P in the direction of i.
Is a SDS responsive to OSHA standards in any way? Are they written to respond or satisfy OSHA standards or independently drafted?
the volume of a sphere is 2098 m3. what is the surface area of the sphere to the nearest tenth? find the area of a
Use the given data to find the correlation coefficient r, regression equation and scatter plot in MS Excel. .Based on the linear correlation coefficient r, is this a good model? Explain.
A ternary word is a word formed from the alphabet P = {0, 1, 2}. Considerthe set of all ternary words of length n. If such a word is chosen at random,determine an expression (in terms of n) for the probability that this worddoes not contain the bit p..
Consider a standard deck of playing cards. You randomly select a card from the deck and find that you have drawn a face card.
Find three consecutive even integers such that the sum of twice the smallest and four times the largest is 304.
The tangent line equation
At the 95% significance level, is there significant evidence of a difference between fund rate of returns?
The combined math and verbal SAT scores for female college students are normally distributed with a mean of 998 and a standard deviation of 200.
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