greybee696Lv1
16 Nov 2021
Problem 50
Page 308
Section 4.6: Optimization Problems
Chapter 4: Applications of Differentiation
Textbook ExpertVerified Tutor
16 Nov 2021
Given information
Given :- The frame of a kite is to be made from six pieces of wood. The four exterior pieces have been cut with lengths indicated in the figure
To find :- To maximize the area of kite , how long should the diagonal pieces be ?
Step-by-step explanation
Step 1.
If x be the half the diagonal of kite, Then
Recall that,
From the figure,
Area of right angled triangle=
Differentiate both sides ,
Solve A'(x)=0 and simplify,
Evaluate the A(x) at the critical point and end point
At x=0,
At x=a,
At ,