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A conical paper cup is to have a height of 15 inches. Find the radius of the cone that will result in a surface area of .
find the equation of the perpendicular bisector of the line segment between (2,6) and (4,-4). Put equation into slope-intercept form.
Find the local maximum and minimum values and saddle point(s) of the function. If you have three dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function.
in a company with 3000 employees, the monthly salaries are normally distributed. The mean salary is $2700, with a standard deviation of $400. About how many of the employees earn more than $2460 per month?
Two cars start moving from the same point. one travels south at 30 mi/h and the other travels west at 70 mi/h. At what rate is the distance between the cars increasing 2 hours later?
If two angles of a triangle measure 90 degrees and 45 degrees what is the measure of the third angle.
Let R ba a partial order on S, and suppose that x is a unique minimal element in S. Prove that S is finite, then xRy for all s in S
two cranes are lifting an object that weighs 20,240 pounds. One cable is at a 44.5 degrees from the horizontal and the other is 24.3 degrees on the opposite side from the horizontal. Find the tension of each cable of the cranes.
A graph has six vertices, every two of which are joined by an edge. Each edge is colored red or white. Show that the graph contains a monochromatic triangle (a triangle all of whose vertices have the same color.) Is the result ttrue for a graph wi..
landscape architect wishes to enclose a rectangular garden on one side by a brick wall costing $27 per foot and on the other three sides by a metal fence costing $9 per foot. If the area of the garden is 450 ft2, find the dimensions of the garden ..
Find the distance from the origin to the line passing through the point P(3,1,5) and having the direction vector v=2i-j+k.
Find the dimensions of the largest acceptable box with square front and back. (Let x be the measurement of one side of the square front. Let y be the length of the box.)
Given that the second light is yellow, find the probability that the first light was red.
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