SOLUTION: A rectangle has one corner on the graph of y=36-x^2 another at the origin a 3rd on the positive y-axis, and the fourth on the positive x-axis. Express the area A of the rectangle a
Algebra.Com
Question 854501: A rectangle has one corner on the graph of y=36-x^2 another at the origin a 3rd on the positive y-axis, and the fourth on the positive x-axis. Express the area A of the rectangle as a function of x. What is the domain of A? For what value of x is A largest?
ANY HELP WOULD BE SOOOO WELCOME!! Thanks in advance I am super confused!
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
It's a good 1st step to draw the parabola
and also a horizontal line which represents
both the point on the y-axis ( 0, y ) and
also the intersection of this line with the
parabola ( x, y ).
Remember that the horizontal line can be
ANY horizontal line
-------------------------------------
So far, I have the points:
( 0, 0 )
( 0, y )
( x, y )
Now I can add the final point ( x1, 0 )
Both x and y are positive
---------------------------------
I can plot this on top of the previous plot
The domain is to
----------------------------
Are you in a calculus class? That's the only way I know to
find the peak of 3rd degree equation
( slope = 0 )
This is the value of for which is largest
----------------------------
and now find
-----------------
Hope this all makes sense- if you do it with a
non-calculus method, you should get the
same answer
RELATED QUESTIONS
a rectangle has a corner in quadrant 1 on the graph y=16-x^2, another at the origin, a... (answered by Theo)
A rectangle has one vertex in quadrant 1 on the graph of y=16-x^2, another at the origin, (answered by Fombitz)
A rectangle has one vertex in quadrant I on the graph of y=10-x^2, another at the origin, (answered by TimothyLamb,KMST)
A rectangle has one vertex on the line y = 8 – x (x > 0), another at the origin, one on... (answered by ikleyn)
a right traingle has one vertex on thr graph y=x^2 at (x,y), ANOTHER AT THE origin, and... (answered by Mathtut)
A right triangle has one vertex on the graph of y = 9 - x^2, x > 0 at (x,y) another at... (answered by ikleyn)
A right triangle has one vertex on the graph of y = 3 - x^2, x > 0, and (x, y), another... (answered by prince_abubu)
Find the area of the largest rectangle that has two sides on the positive x-axis and the... (answered by Fombitz)
A right triangle has one vertex on the graph of y=x^3, x>0, at (x,y), another at the... (answered by Fombitz)