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A microwave cup-of-soup package needs to be constructed in the shape of cylinder to hold 550 cubic centimeters of soup. The sides and bottom of the container will be made of syrofoam costing 0.02 cents per square centimeter. The top will be made of glued paper, costing 0.08 cents per square centimeter. Find the dimension for the package that will minimize production cost.
In calculus and other branches of analysis, the notation (a, 8) represents the set {x Î R | a }. Consider all sets of the form (a, 8) where a Î R. What is the intersection of all of these sets?
the bestever credit scores are normally distributed with a mean of 600 and a standard deviation of 100.1. what is the
Three forces act on an object. Two of the forces are at an angle of 100o to each other. Calculate the magnitude of the force that would exactly counterbalance these three forces.
Find parametric equations for the lone in which the two planes intersect. Find an equation of the plane that is perpendicular to the two planes and containing the point (5, 1, -2).
Assuming the lifetime of the batteries is normally distributed; determine the number of days that at least 95% of the batteries will last beyond.
Find lim (x->infinity) p1000(x). What can you say about |p1000(x) - sin(x)|for large values of x?
a student opens a math book to two facing pages. The product of the page numbers is 506. What are the page numbers?
An automatic coffee machine dispenses cups of coffee whose volume per cup varies normally with the mean μ = 10 oz. A quality-control researcher randomly selects 8 cups of coffee from the machine and finds that in this sample the mean volume is 9.9..
For the normal distribtion, the mean plus and minus 1.96 standard deviation will include what percent of the observations? What is the formula to calculate the percentage?
Similarly, one additional unit will be occupied for each 10 dollar decrease in rent. What rent should the manager charge to maximize revenue?
A plane is flying at an airspeed of 340 mh at a heading of 124 degrees. A wind of 45 mph is blowing fro mthe west. find the ground speed of the plane.
Find the area bounded between the curves f(x) = x2 - 4, and g(x) = 4 - x2. Dose the MVTi apply to f(x) = 4 / x2 on the interval [-4, -2]?
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