Sujet: max-min liste de sujets
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18 articles trouvés pour ce sujet.

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	The maximum area of a rectangle with a given perimeter		2017-06-02
		Bob pose la question : How would I go about finding the maximum area of a rectangle given its perimeter (20m, for example)? Penny Nom lui répond.
	A calculus optimization problem		2015-05-14
		Ali pose la question : Given an elliptical piece of cardboard defined by (x^2)/4 + (y^2)/4 = 1. How much of the cardboard is wasted after the largest rectangle (that can be inscribed inside the ellipse) is cut out? Robert Dawson lui répond.
	A max/min problem		2012-12-14
		bailey pose la question : A right angled triangle OPQ is drawn as shown where O is at (0,0). P is a point on the parabola y = ax – x^2 and Q is on the x-axis. Show that the maximum possible area for the triangle OPQ is (2a^3)/(27) Penny Nom lui répond.
	Maximum area of a rectangle		2011-10-04
		Lyndsay pose la question : A rectangle is to be constructed having the greatest possible area and a perimeter of 50 cm. (a) If one of the sides of the rectangle measures 'x' cm, find a formula for calculating the area of the rectangle as a function of 'x'. (b) Determine the dimensions of the rectangle for which it has the greatest area possible. What is the maximum area? Penny Nom lui répond.
	Maximize the floor area		2010-07-07
		shirlyn pose la question : A rectangular building will be constructed on a lot in the form of a right triangle with legs of 60 ft. and 80 ft. If the building has one side along the hypotenuse, find its dimensions for maximum floor area. Penny Nom lui répond.
	A max-min problem		2009-04-20
		Charlene pose la question : A fixed circle lies in the plane. A triangle is drawn inside the circle with all three vertices on the circle and two of the vertices at the ends of a diameter. Where should the third vertex lie to maximize the perimeter of the triangle? Penny Nom lui répond.
	A max-min problem		2009-03-24
		Jay pose la question : Determine the area of the largest rectangle that can be inscribed between the x-axis and the curve defined by y = 26 - x^2. Harley Weston lui répond.
	What point on the graph y = e^x is closest to the origin?		2008-03-03
		elvina pose la question : What point on the graph y = e^x is closest to the origin? Justify your answer. Stephen La Rocque lui répond.
	A ball bearing is placed on an inclined plane		2008-02-15
		Leah pose la question : A ball bearing is placed on an inclined plane and begins to roll. The angle of elevation of the plane is x. The distance (in meters) that the ball bearing rolls in t seconds is s(t) = 4.9(sin x)t^2. What is the speed of the ball bearing, and what value of x will produce the maximum speed at a particular time? Penny Nom lui répond.
	Minimum cost for a fixed volume		2007-04-18
		James pose la question : My question goes: A silo is to be constructed and surmounted by a hemisphere. The material of the hemisphere cost twice as much as the walls of the silo. Determine the dimensions to be used of cost is to be kept to a minimum and the volume is fixed. Penny Nom lui répond.
	A max-min problem		2005-12-16
		Julie pose la question : A car travels west at 24 km/h. at the instant it passes a tree, a horse and buggy heading north at 7 km/h is 25 km south of the tree. Calculate the positions of the vessels when there is a minimum distance between them. Penny Nom lui répond.
	Mrs. Faria lives on an island		2005-12-15
		Julie pose la question : Mrs. Faria lives on an island 1 km from the mainland. She paddles her canoe at 3 km/h and jogs at 5 km/h. the nearest drug store is 3 km along the shore from the point on the shore closest to the island. Where should she land to reach the drug store in minimum time? Penny Nom lui répond.
	Getting to B in the shortest time		2001-12-19
		Nancy pose la question : A motorist in a desert 5 mi. from point A, which is the nearest point on a long, straight road, wishes to get to point B on the road. If the car can travel 15 mi/hr on the desert and 39 mi/hr on the road to get to B, in the shortest possible time if...... A.) B is 5 mi. from A B.) B is 10 mi. from A C.) B is 1 mi. from A Penny Nom lui répond.
	An emergency response station		2001-03-29
		Tara pose la question : Three cities lying on a straight line want to jointly build an emergency response station. The distance between each town and the station should be as short as possible, so it cannot be built on the line itself, but somewhere east or west. Also, the larger the population of a city, the greater the need to place the station closer to that city. You are to minimize the overall sum of the products of the populations of each city and the square of the distance between that city and the facility. City A is 6 miles from the road's origin, City B is 19 miles away from the origin, and City C is 47 miles from the origin. The populations are 18,000 for City A, 13,000 for City B, and 11,000 for City C. Where should the station be located? Claude Tardif and Penny Nom lui répond.
	An integer max-min problem		2000-03-13
		Paul Servic pose la question : Maximize Q = xy 2 where x and y are positive integers such that x + y 2 = 4 Penny Nom lui répond.
	Maximize		2000-03-12
		Tara Doucet pose la question : My question is Maximize Q=xy^2 (y is to the exponent 2) where x and y are positive integers such that x + y^2 ( y is to the exponent 2)=4 Harley Weston lui répond.
	Slant height of a cone		2000-02-24
		Jocelyn Wozney pose la question : I need help with this problem for my high school calculus class. Any help you can give me will be greatly appreciated-I am pretty stumped. "Express the volume of a cone in terms of the slant height 'e' and the semi-vertical angle 'x' and find the value of 'x' for which the volume is a maximum if 'e' is constant. Harley Weston lui répond.
	Area of a circle and an inequality		1999-10-30
		Adam Anderson pose la question : I have two problems. The first: prove that the area of a cirlce is pi times radius squared without using calculus. The second: show that ln(x) < x - 1 for all x > 0. Harley Weston lui répond.

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