SOLUTION: For which point (x,y) on the curve y=1-x^2 is the sum x+y a maximum? I have no idea how to do this problem. Please help!

Algebra.Com
Question 806230: For which point (x,y) on the curve y=1-x^2 is the sum x+y a maximum?
I have no idea how to do this problem. Please help!

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Create the function which is to say

Now use whatever means you have at your disposal to find the coordinate of the vertex of . That gives you the coordinate of the desired point. Then evaluate at this value to get the desired -coordinate.

John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism


RELATED QUESTIONS

Can someone please help me solve this equation? Thank You!!!! Find the maximum Y-value (answered by jim_thompson5910)
A. Construct a table of values for y < -x². Use -2 ≤ x ≤ 2 I have made... (answered by lynnlo)
y^2=x+1. Find the vertex, x and y intercepts, and sketch the graph. Please help, I have... (answered by stanbon)
One focus is at (-3.66,-3).Find the other focus for the ellipse defined by this equation... (answered by lwsshak3)
I have no idea on how to do this problem any help would be greatly appreciated Find... (answered by richwmiller)
Using graph paper, graph the question and plot the given ordered pair. Then construct a... (answered by Edwin McCravy)
My problem is m=7,(4,1) I tied to solve a similar one which was m=8,(7,5) and here is (answered by Alan3354)
I am graphing a parabola and I have all of my points done but I'm having a problem... (answered by solver91311,checkley71)
Please help me whith this i have a test and i have no idea how to do this Solve the... (answered by rothauserc)