Calculus Optimization - Point on graph closest to given point
$begingroup$
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
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$endgroup$
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
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$begingroup$
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
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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.
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