SOLUTION: Consider the conic {{{2x^2+y^2=8}}}. Answer the following without graphing:
Does it pass through the origin?why?
What is the maximum value of y?Justify.
For what values of x is
Algebra.Com
Question 473985: Consider the conic . Answer the following without graphing:
Does it pass through the origin?why?
What is the maximum value of y?Justify.
For what values of x is y defined?Justify.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Consider the conic 2x^2+y^2=8. Answer the following without graphing:
Does it pass through the origin?why?
What is the maximum value of y?Justify.
For what values of x is y defined?Justify
**
2x^2+y^2=8
divide by 8
x^2/4+y^2/8=1
This is an ellipse with vertical major axis and of the standard form: (x-h)^2/b^2+(y-k)^2/a^2=1
..
Does it pass through the origin?
Given equation does not show h or k which means they are equal to zero which in turn means the center of the ellipse is at the origin. Curve itself does not pass thru origin.
..
What is the maximum value of y?
a^2=8
a=√8
length of vertical major axis=2a=2√8
maximum value of y=top end point of vertical major axis=√8
..
For what values of x is y defined?
b^2=4
b=2
length of minor axis=2b=4
Domain: [-2,2]
RELATED QUESTIONS
what conic section does the following equation represent:... (answered by Edwin McCravy)
y < -3 does this pass through the origin is it a negative y-intercept and what kind of... (answered by stanbon,rfer)
Range of function sqrt(x^2-2x+5). Why is the range ≥2?, without... (answered by stanbon,Theo)
What is the conic... (answered by solver91311)
What conic does the equation y=x^2... (answered by Alan3354)
What conic does the equation y=x^2... (answered by richard1234)
could you explane to me why i got this marked wrong and how i can correct it?
here's... (answered by fractalier)
Graph the equation x=y. Does this line pass through the origin (0,0) of the x-y graph.... (answered by solver91311,dfrazzetto)
I am stumped.
Determine the type of conic without graphing:
y + xy - y^2 - x^2 = 5x + (answered by solver91311)