Wednesday

March 4, 2015

March 4, 2015

Posted by **Manny** on Wednesday, December 9, 2009 at 3:54am.

Solution: We need to minimize the function

d = sqrt((x − (−3))^2 + (y − 1)^2)

= sqrt((x + 3)^2 + (y − 1) ^2 )

and, since the point (x, y) lies on the line 6x + y = 9, we can eliminate y from the formula for d:

d = (x + 3)^2 + (9 − 6x − 1) ^2

= (x + 3)^2 + (8 − 6x)^2

It will be easier to minimize the square of the function:

D = d2 = (x + 3)^2 + (8 − 6x)^2

Then,

D

- Calculus -
**MathMate**, Wednesday, December 9, 2009 at 8:18amYes, continue this way, find the derivative of D with respect to x.

Equate the derivative to zero and solve for x.

Substitute x back into the line equation to find y.

Post you answer for checking if you wish.

**Answer this Question**

**Related Questions**

Calculus - Find the point on the line 6x + y = 9 that is closest to the point (-...

Math - Find the point on the line 6x + y = 9 that is closest to the point (-3,1...

calculus - To find the equation of a line, we need the slope of the line and a ...

Calculus - Find the point P on the graph of the function y=\sqrt{x} closest to ...

Calculus - Find the point on the line 7x+5y−2=0 which is closest to the ...

Calculus - Find the point on the line 7x+5y−2=0 which is closest to the ...

Calculus I - Find the point on the curve y=x^2 closest to point (0,1) Here's ...

calculus - please anyone help me out Consider the following. Function Point f(x...

calculus - Find the point on the plane z = 6x + 9y + 1 closest to the point P...

Calculus - Sketch a graph of the parabola y=x^2+3. On the same graph, plot the ...