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 $(1, 2)$.
Circuitry of TV splitters
Non-Jewish family in an Orthodox Jewish Wedding
Why did the Germans forbid the possession of pet pigeons in Rostov-on-Don in 1941?
What do you call a Matrix-like slowdown and camera movement effect?
Why has Russell's definition of numbers using equivalence classes been finally abandoned? ( If it has actually been abandoned).
Is there a minimum number of transactions in a block?
Accidentally leaked the solution to an assignment, what to do now? (I'm the prof)
A function which translates a sentence to title-case
Are tax years 2016 & 2017 back taxes deductible for tax year 2018?
Can a German sentence have two subjects?
What is the white spray-pattern residue inside these Falcon Heavy nozzles?
Can town administrative "code" overule state laws like those forbidding trespassing?
When blogging recipes, how can I support both readers who want the narrative/journey and ones who want the printer-friendly recipe?
How do I create uniquely male characters?
Why was the small council so happy for Tyrion to become the Master of Coin?
Is Social Media Science Fiction?
Why Is Death Allowed In the Matrix?
Prevent a directory in /tmp from being deleted
Is there a familial term for apples and pears?
Can an x86 CPU running in real mode be considered to be basically an 8086 CPU?
"which" command doesn't work / path of Safari?
Email Account under attack (really) - anything I can do?
XeLaTeX and pdfLaTeX ignore hyphenation
The use of multiple foreign keys on same column in SQL Server
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 2 hours ago
dmtri
1,7712521
asked 3 hours ago
Julian CallegariJulian Callegari
161
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 2 hours ago
dmtri
1,7712521
asked 3 hours ago
Julian CallegariJulian Callegari
161
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 2 hours ago
dmtri
1,7712521
asked 3 hours ago
Julian CallegariJulian Callegari
161
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 2 hours ago
dmtri
1,7712521
asked 3 hours ago
Julian CallegariJulian Callegari
161
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 2 hours ago
dmtri
1,7712521
asked 3 hours ago
Julian CallegariJulian Callegari
161
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 2 hours ago
dmtri
1,7712521
edited 2 hours ago
dmtri
1,7712521
edited 2 hours ago
dmtri
1,7712521
1,7712521
asked 3 hours ago
Julian CallegariJulian Callegari
161
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 3 hours ago
Julian CallegariJulian Callegari
161
asked 3 hours ago
Julian CallegariJulian Callegari
161
161
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 3 hours 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 3 hours 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 3 hours 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 3 hours 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 3 hours ago
gt6989bgt6989b
35.6k22557
answered 3 hours ago
gt6989bgt6989b
35.6k22557
answered 3 hours ago
gt6989bgt6989b
35.6k22557
answered 3 hours 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
