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MarcLeclair
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Find the point on the graph of √(x+1) that lies closest to point ( 4,0).
 2 years ago
 2 years ago
MarcLeclair Group Title
Find the point on the graph of √(x+1) that lies closest to point ( 4,0).
 2 years ago
 2 years ago

This Question is Closed

galanh Group TitleBest ResponseYou've already chosen the best response.1
The 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
 2 years ago

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

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

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

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

MarcLeclair Group TitleBest 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 :/
 2 years ago

galanh Group TitleBest ResponseYou've already chosen the best response.1
I used this graph
 2 years ago

MarcLeclair Group TitleBest ResponseYou've already chosen the best response.0
thats 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
 2 years ago

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

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

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

MarcLeclair Group TitleBest ResponseYou've already chosen the best response.0
Errr thanks for the help :) i'll try to figure out the rest on my own haha
 2 years ago

galanh Group TitleBest ResponseYou've already chosen the best response.1
My pleasure!
 2 years ago
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