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The top and bottom margins of a poster are 2 cm and the side margins are each 4 cm. If the area of printed material on the poster is fixed at 382 square centimeters, find the dimensions of the poster with the smallest area.
a cable 16m long runs from the top of a utility pole to a point on the ground 4m from the base of the pole. How tall us the utility pole, to the nearest tenth
evaluate to five decimal places using a calculator
A plane flying with a constant speed of 14 km/min passes over a ground radar station at an altitude of 12 km and climbs at an angle of 50 degrees. At what rate is the distance from the plane to the radar station increasing 4 minutes later?
An Airplane flies 410 miles with wind and 330 against wind in the same lengthof time. If speed of the wind is 20mph, What is the speed of the airplane in still air?
Let v(t)=3t^2-12t be the velocity of a particle moving along the x-axis for time t, t>(less than or equal to)0 When t=0 the particle is at x=-6.
A hemisphere of radius 7 sits on a horizontal plane. A cylinder stands with its axis vertical, the center of its base at the center of the sphere, and its top circular rim touching the hemisphere. Find the radius and height of the cylinder of maxi..
Find the confidence interval for the population mean
Dead leaves accumulate on the ground in a forest at a rate of 4 grams per square centimeter per year. At the same time, these leaves decompose at a continuous rate of 80 percent per year.
The shop sells 1.5 times more Pomona than Coastal each day. Pomona sells for $2.05 per cup, and Coastal sells for $1.85 per cup. The manager wants to know how many cups of each blend to sell each day in order to maximize sales.
A farmer has a rectangular garden plot surrounded by 200 ft of fence. Find the length and width of the garden if its area is 1275 ft2.
Anne is pulling on a 60-foot rope attached to the top of a 48-foot tree while Walter is cutting the tree at its base. How far from the base of the tree is Anne standing?
how can we solve an ordinary second-order non-homogeneous euler equation by laplace tansfomation?
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