Fiesta 15 | Fall 2009 | Ap Calculus| Www.ilearnmath.net
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iLearnMath.Net | AP Calculus | Fiesta 15 2009
Name ____________ Show all your work for full credit. Graphing calculators are not permissible. Problem 1 Find the dimensions of the isosceles triangle of largest area that can be inscribed in a circle of radius r. Problem 2 At which points on the curve y = 1 + 40 x3 − 3x5 does the tangent line have the largest slope? Problem 3 Show that of all the isosceles triangles with a given perimeter, the one with the greatest area is equilateral. Problem 4 Let a and b be positive numbers. Find the length of the shortest line segment that is cut off by the first quadrant and passes through the point (a, b) .
Name ____________ Show all your work for full credit. Graphing calculators are not permissible. Problem 1 Find the dimensions of the isosceles triangle of largest area that can be inscribed in a circle of radius r. Problem 2 At which points on the curve y = 1 + 40 x3 − 3x5 does the tangent line have the largest slope? Problem 3 Show that of all the isosceles triangles with a given perimeter, the one with the greatest area is equilateral. Problem 4 Let a and b be positive numbers. Find the length of the shortest line segment that is cut off by the first quadrant and passes through the point (a, b) .
