Find the point P on the line y 3x that is closest to the point (50,0). To solve this problem, we use the distance formula, d = / (#1 – x2)² + (y1 – 42)². - In this case, we are seeking a point P = (x, y) on the line y 3x which minimizes d = / (x – 50)² + (y – 0)? - Which of the following derivative expressions is suitable when solving this problem? 20x+100 2/20x+100 20х —100 2/10x2 –100x+2500 O d' 2/10x2+2500 20x d' = 10a2 - 100x + 2500 + 20x – 100

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 17E: Find the constant of proportionality. y is directly proportional to x. If x=30, then y=15.
icon
Related questions
icon
Concept explainers
Topic Video
Question

Easy Calculus question, I will rate and like! Thank you for your work!

Find the point P on the line y
3x that is closest to the point (50,0).
To solve this problem, we use the distance formula,
d = / (x1 – a2)° + (y1 – 42)*.
In this case, we are seeking a point P = (x, y) on the line y
3x which minimizes
d = V (2 – 50)? + (y – 0)?
Which of the following derivative expressions is suitable when solving this problem?
20x+100
2/20x+100
20х —100
2/10x2 –100æ+2500
20x
2/10x2+2500
d'
10x2
100x + 2500 + 20x – 100
Transcribed Image Text:Find the point P on the line y 3x that is closest to the point (50,0). To solve this problem, we use the distance formula, d = / (x1 – a2)° + (y1 – 42)*. In this case, we are seeking a point P = (x, y) on the line y 3x which minimizes d = V (2 – 50)? + (y – 0)? Which of the following derivative expressions is suitable when solving this problem? 20x+100 2/20x+100 20х —100 2/10x2 –100æ+2500 20x 2/10x2+2500 d' 10x2 100x + 2500 + 20x – 100
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning