Question

PLEASE HELP!

A right triangle is formed in the first quadrant by the x- and y- axes and a Straight line through the point (2,3). The other vertices are (0,0) (0,Y) (X,0).

a) Write the length L of the hypotenuse as a function of x
b) Find the vertices of the triangle such that its are is a minimum

Answer 1

A rectangle is bounded by the x-axis and the semicircle y = √(25 - x²). What length and width should the rectangle have so that its area is a maximum?

Explanation: