Calculus Optimization - Point on graph closest to given pointFind point closest to the given pointFind the point on graph of $xy=12$ that is closest to the point $(5,0)$Optimization question/ calculusOptimization, point on parabola closest to another pointOptimization Calculus QuestionFinding the points on a curve, closest to a specific pointnth closest point with integer coordinates to a given pointFind the points on the graph of the function that are closest to the given point.Which point of the graph of $y=sqrtx$ is closest to the point $(1,0)$?Optimization problem: Find the point on the line $−x + 2y − 1 = 0$ that is closest to the point $(1, 2)$.
Multi tool use
If Manufacturer spice model and Datasheet give different values which should I use?
Chess with symmetric move-square
What do you call a Matrix-like slowdown and camera movement effect?
Calculus Optimization - Point on graph closest to given point
A newer friend of my brother's gave him a load of baseball cards that are supposedly extremely valuable. Is this a scam?
Download, install and reboot computer at night if needed
When blogging recipes, how can I support both readers who want the narrative/journey and ones who want the printer-friendly recipe?
How to calculate implied correlation via observed market price (Margrabe option)
N.B. ligature in Latex
Do airline pilots ever risk not hearing communication directed to them specifically, from traffic controllers?
Is it possible to do 50 km distance without any previous training?
Why has Russell's definition of numbers using equivalence classes been finally abandoned? ( If it has actually been abandoned).
Draw simple lines in Inkscape
How do we improve the relationship with a client software team that performs poorly and is becoming less collaborative?
How to report a triplet of septets in NMR tabulation?
Copenhagen passport control - US citizen
Email Account under attack (really) - anything I can do?
Can I make popcorn with any corn?
Are tax years 2016 & 2017 back taxes deductible for tax year 2018?
I probably found a bug with the sudo apt install function
Why was the small council so happy for Tyrion to become the Master of Coin?
New order #4: World
Could a US political party gain complete control over the government by removing checks & balances?
DOS, create pipe for stdin/stdout of command.com(or 4dos.com) in C or Batch?
Calculus Optimization - Point on graph closest to given point
Find point closest to the given pointFind the point on graph of $xy=12$ that is closest to the point $(5,0)$Optimization question/ calculusOptimization, point on parabola closest to another pointOptimization Calculus QuestionFinding the points on a curve, closest to a specific pointnth closest point with integer coordinates to a given pointFind the points on the graph of the function that are closest to the given point.Which point of the graph of $y=sqrtx$ is closest to the point $(1,0)$?Optimization problem: Find the point on the line $−x + 2y − 1 = 0$ that is closest to the point $(1, 2)$.
$begingroup$
Which point on the graph of $ y=7-x^2$ is closest to the point $(0,4)$ ?
calculus optimization
edited 19 mins ago
dmtri
1,7712521
asked 1 hour ago
Julian CallegariJulian Callegari
111
New contributor
Julian Callegari is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
add a comment |
$begingroup$
Which point on the graph of $ y=7-x^2$ is closest to the point $(0,4)$ ?
calculus optimization
edited 19 mins ago
dmtri
1,7712521
asked 1 hour ago
Julian CallegariJulian Callegari
111
New contributor
Julian Callegari is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
add a comment |
$begingroup$
Which point on the graph of $ y=7-x^2$ is closest to the point $(0,4)$ ?
calculus optimization
edited 19 mins ago
dmtri
1,7712521
asked 1 hour ago
Julian CallegariJulian Callegari
111
New contributor
Julian Callegari is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
$endgroup$
Which point on the graph of $ y=7-x^2$ is closest to the point $(0,4)$ ?
calculus optimization
calculus optimization
edited 19 mins ago
dmtri
1,7712521
asked 1 hour ago
Julian CallegariJulian Callegari
111
New contributor
Julian Callegari is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited 19 mins ago
dmtri
1,7712521
asked 1 hour ago
Julian CallegariJulian Callegari
111
New contributor
Julian Callegari is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited 19 mins ago
dmtri
1,7712521
edited 19 mins ago
dmtri
1,7712521
edited 19 mins ago
dmtri
1,7712521
1,7712521
asked 1 hour ago
Julian CallegariJulian Callegari
111
New contributor
Julian Callegari is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 1 hour ago
Julian CallegariJulian Callegari
111
asked 1 hour ago
Julian CallegariJulian Callegari
111
111
New contributor
Julian Callegari is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
Julian Callegari is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
Julian Callegari is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
add a comment |
add a comment |
1 Answer
1
active
oldest
votes
$begingroup$
HINT
If a point is on the specified graph, it looks like $p_x = left(x,7-x^2right)$. So the square $D$ of the distance $d$ of $p_x$ to $(0,4)$ is given by
$$
D(x) = d^2(x) = (x-0)^2 + (7-x^2-4)^2
$$
Can you simplify and minimize $D(x)$?
answered 58 mins ago
gt6989bgt6989b
35.6k22557
$endgroup$
add a comment |
Your Answer
StackExchange.ifUsing("editor", function ()
return StackExchange.using("mathjaxEditing", function ()
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix)
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
);
);
, "mathjax-editing");
StackExchange.ready(function()
var channelOptions =
tags: "".split(" "),
id: "69"
;
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function()
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled)
StackExchange.using("snippets", function()
createEditor();
);
else
createEditor();
);
function createEditor()
StackExchange.prepareEditor(
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader:
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
,
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
);
);
Julian Callegari is a new contributor. Be nice, and check out our Code of Conduct.
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3179059%2fcalculus-optimization-point-on-graph-closest-to-given-point%23new-answer', 'question_page');
);
Post as a guest
Required, but never shown
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
$begingroup$
HINT
If a point is on the specified graph, it looks like $p_x = left(x,7-x^2right)$. So the square $D$ of the distance $d$ of $p_x$ to $(0,4)$ is given by
$$
D(x) = d^2(x) = (x-0)^2 + (7-x^2-4)^2
$$
Can you simplify and minimize $D(x)$?
answered 58 mins ago
gt6989bgt6989b
35.6k22557
$endgroup$
add a comment |
$begingroup$
HINT
If a point is on the specified graph, it looks like $p_x = left(x,7-x^2right)$. So the square $D$ of the distance $d$ of $p_x$ to $(0,4)$ is given by
$$
D(x) = d^2(x) = (x-0)^2 + (7-x^2-4)^2
$$
Can you simplify and minimize $D(x)$?
answered 58 mins ago
gt6989bgt6989b
35.6k22557
$endgroup$
add a comment |
$begingroup$
HINT
If a point is on the specified graph, it looks like $p_x = left(x,7-x^2right)$. So the square $D$ of the distance $d$ of $p_x$ to $(0,4)$ is given by
$$
D(x) = d^2(x) = (x-0)^2 + (7-x^2-4)^2
$$
Can you simplify and minimize $D(x)$?
answered 58 mins ago
gt6989bgt6989b
35.6k22557
$endgroup$
HINT
If a point is on the specified graph, it looks like $p_x = left(x,7-x^2right)$. So the square $D$ of the distance $d$ of $p_x$ to $(0,4)$ is given by
$$
D(x) = d^2(x) = (x-0)^2 + (7-x^2-4)^2
$$
Can you simplify and minimize $D(x)$?
answered 58 mins ago
gt6989bgt6989b
35.6k22557
answered 58 mins ago
gt6989bgt6989b
35.6k22557
answered 58 mins ago
gt6989bgt6989b
35.6k22557
answered 58 mins ago
gt6989bgt6989b
35.6k22557
35.6k22557
add a comment |
add a comment |
Julian Callegari is a new contributor. Be nice, and check out our Code of Conduct.
Julian Callegari is a new contributor. Be nice, and check out our Code of Conduct.
Julian Callegari is a new contributor. Be nice, and check out our Code of Conduct.
Julian Callegari is a new contributor. Be nice, and check out our Code of Conduct.
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3179059%2fcalculus-optimization-point-on-graph-closest-to-given-point%23new-answer', 'question_page');
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Dp5 r8U8bhBrxxF8bV4BhnyhxS gvV76,8smNcROQW67CLrN5i4W vfTJAW eNgdCRdu ACr5834,MfC2uqR
