Exercise 2a: Largest rectangle inscribed in a semicircle Determine the area of the largest rectangle that can be inscribed in a semicircle of radius 8". Figure shows that the area can be written as A = (2x)y, if(x,y) is the point of the upper right corner of the rectangle. However, we choose to parameterize the area by a single value, the angle o. 8" у X Figure 1: What is the rectangle with largest area that can be inscribed in a half circle? 1. Derive the formula for the area of the inscribed rectangle as a function of e. We refer to this function as Ale) below. the formula for An) is... For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). B IV Paragraph Arial 1992 " x FA 10pt Ix % GQ as X2 X2 > llc ABC HB A 2 2 <> | (:) ( . 国民 EX 出 E ම 52 # G O WORDS POWERED BY TINY P
Exercise 2b: Plot A(e) over its relevant domain. What is the relevant domain? O [0,8] None of these answers [0,1/2] O [O, TE] [0.4] QUESTION 10 Exercise 2c: For what value of is the maximum area attained (in radians)? QUESTION 11 Exercise 2d: What is the maximum area?
Join a community of subject matter experts. Register for FREE to view solutions, replies, and use search function. Request answer by replying!