16 Nov 2021
Problem 18
Page 306
Section 4.6: Optimization Problems
Chapter 4: Applications of Differentiation
Textbook ExpertVerified Tutor
16 Nov 2021
Given information
The rectangle of largest area that has its base on the -axis and its other two vertices above the -axis and lying on the parabola .
Step-by-step explanation
Step 1.
According to the question,
The rectangle of largest area that has its base on the -axis and its other two vertices above the -axis and lying on the parabola
We know that, Area of rectangle
Let be the base length and be the breadth of rectangle.
Now, Substituting the values of length and breadth of rectangle in the formula for the area of a rectangle, we get:
Substituting the values of in equation , we get: