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The total surface area of a square based open-top rectangular box is 12 cm^2.
Find the dimensions of the box of maximum volume.
In polar coordinates, write equations for the line x=1 and the circle of radius 2 centered at the origin. Write an integral in polar coordinates representing the area of the region to the right of x=1 and inside the circle.
Construct an explicit deformation retraction of the torus with one point deleted onto a graph consisting of two circles intersecting in a point, namely, longitude and meridian circles of the torus.
Calculate the sample proportion, µ for the proportion of offspring peas with yellow pods.
Find an example, of the BMI between man/woman and estimate a best fit line graphically. Develop an approximate linear model using the point slope form, the slope-intercept form or the standard form line.
Prepare the name of congruent angles from the given figure - Name every angle that is congruent to (has the same measure as) angle ACD.
Claire sells packets of sunflower seeds for $0.95 each and packets of morning glory seeds for $1.43 each. She decides to offer a 16-packet spring-garden combination, combining both types of seeds at $1.10 per packet.
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
Let G be an undirected graph, and let T be the spanning tree genereted by a depth-first search of G. Prove that an edge of G that has no corresponding edge in T cannot join nodes in differect branches of the tree
Determine the warranty period, The project managers of a television manufacturing company plan to determine a warranty period for their 46" flat screen TV's so that only less than 4% of the time a failure would happen during the warranty period
Explain Probability of drawing apples from a sample, There are 8 spoiled apples in a container of 27 apples set for inspection. A sample is drawn, for 4 apples at random
Suppose the current exchange rate for the Polish zloty is Z 2.85. The expected exchange rate in three years is Z 2.93. What is the difference in the annual inflation rates for the United States and Poland over this period?
Also, if the variables in an equation were reversed, what would happen to the graph of the equation? This was the example I was given, how would the graph of y = x² relate to the graph of x = y²?
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