A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
MarcLeclair
 2 years ago
Find the point on the graph of √(x+1) that lies closest to point ( 4,0).
MarcLeclair
 2 years ago
Find the point on the graph of √(x+1) that lies closest to point ( 4,0).

This Question is Closed

galanh
 2 years ago
Best ResponseYou've already chosen the best response.1The distance between a point on the curve and the point (0,4) is: \[d= \sqrt{(x4)**2+x+1}=\sqrt{x**2 7x+17}\] \[d=\sqrt{(x3.5)**2 +4.75}\] d is minimum when x=3.5 and y=sqrt(3.5+1)=sqrt(4.5)=2.12

MarcLeclair
 2 years ago
Best ResponseYou've already chosen the best response.0Is that the formula for the distance of a curve to a point, the one they teach in grade 10 or something?

MarcLeclair
 2 years ago
Best ResponseYou've already chosen the best response.0we dont want the distance, we want the point closest, and the answer is wrong :/

galanh
 2 years ago
Best ResponseYou've already chosen the best response.1the closed point is (3.5,2.12)

MarcLeclair
 2 years ago
Best ResponseYou've already chosen the best response.0wait... is that a basic equation? it's for my calculus class and I didn't see you use any derivative or anything

MarcLeclair
 2 years ago
Best ResponseYou've already chosen the best response.0@galanh its odd my solution sheet has a different way, I'm just trying to understand the method sorry :/

MarcLeclair
 2 years ago
Best ResponseYou've already chosen the best response.0thats the solution using derivative, but I don't understand why we would set the first derivative to 0 to find the critical points, just seems odd to me

galanh
 2 years ago
Best ResponseYou've already chosen the best response.1Thanks for the solution with derivative.

MarcLeclair
 2 years ago
Best ResponseYou've already chosen the best response.0do you understand that solution? I don't understand it that was why i asked the question in the first place

galanh
 2 years ago
Best ResponseYou've already chosen the best response.1I am not good with derivatives! derivative of a function equal to zero, gives you the minimum of the function!

MarcLeclair
 2 years ago
Best ResponseYou've already chosen the best response.0Errr thanks for the help :) i'll try to figure out the rest on my own haha
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.