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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
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