16 Nov 2021
Problem 49
Page 308
Section 4.6: Optimization Problems
Chapter 4: Applications of Differentiation
Textbook ExpertVerified Tutor
16 Nov 2021
Given information
Given :- The line segment that is cut off by the first quadrant and passes through the point (a,b) if a and b positive number.
To find :- Find the length of the shortest line segment that is cut off by the first quadrant and passes through the point (a,b).
Step-by-step explanation
Step 1.
As per the given problem
Draw the diagram of a line segment that is cut off by the first quadrant and passes through the point (a,b) if a and b positive numbers,
Point-Slope form of the equation of a line is,
Where m is the slope and (a,b) is the point on the line
Substitute x=0 in equation (1) to get y-intercept