Calculus Optimization - Point on graph closest to given pointFind point closest to the given pointFind the...
Why did the Germans forbid the possession of pet pigeons in Rostov-on-Don in 1941?
I see my dog run
"which" command doesn't work / path of Safari?
least quadratic residue under GRH: an EXPLICIT bound
What typically incentivizes a professor to change jobs to a lower ranking university?
What would happen to a modern skyscraper if it rains micro blackholes?
Banach space and Hilbert space topology
How did the USSR manage to innovate in an environment characterized by government censorship and high bureaucracy?
Draw simple lines in Inkscape
My colleague's body is amazing
Prevent a directory in /tmp from being deleted
Should I join office cleaning event for free?
What is the white spray-pattern residue inside these Falcon Heavy nozzles?
How can the DM most effectively choose 1 out of an odd number of players to be targeted by an attack or effect?
How can bays and straits be determined in a procedurally generated map?
Example of a relative pronoun
Extreme, but not acceptable situation and I can't start the work tomorrow morning
I’m planning on buying a laser printer but concerned about the life cycle of toner in the machine
What makes Graph invariants so useful/important?
How does one intimidate enemies without having the capacity for violence?
Motorized valve interfering with button?
XeLaTeX and pdfLaTeX ignore hyphenation
How is this relation reflexive?
How to report a triplet of septets in NMR tabulation?
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 $y=sqrt{x}$ 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 18 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 18 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 18 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 18 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 18 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 18 mins ago
dmtri
1,7712521
edited 18 mins ago
dmtri
1,7712521
edited 18 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 57 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 57 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 57 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 57 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 57 mins ago
gt6989bgt6989b
35.6k22557
answered 57 mins ago
gt6989bgt6989b
35.6k22557
answered 57 mins ago
gt6989bgt6989b
35.6k22557
answered 57 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
