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Mathematics 14 Online
OpenStudy (anonymous):

I will give medal. Please help!

OpenStudy (anonymous):

My question is: Identify and sketch the curfvce given by the equation\[-x ^{2}-2x+4y ^{2}-8y-1=0\]

OpenStudy (tkhunny):

You must Complete the Square a couple of times. Go!

OpenStudy (anonymous):

then what will i get?

OpenStudy (tkhunny):

You will get a form and expression that, if it is familiar, will make it trivial to identify the graph and to draw the graph. Let's see it.

OpenStudy (anonymous):

is it a circle?

OpenStudy (tkhunny):

Maybe. If you complete the square for both x and y, you will know IF it is a circle and if so, where it is centered AND its radius!

OpenStudy (anonymous):

I have another question..

OpenStudy (anonymous):

OpenStudy (tkhunny):

Did you get the last one? For the trigonometric location, I might be tempted just to substitute t = 0, pi/6, pi/4, pi/3, pi/2, 2ip/3, etc -- and just see what pops out.

OpenStudy (anonymous):

yup

OpenStudy (anonymous):

how about part a and b?

OpenStudy (tkhunny):

You're not paying attention very well. The procedure I suggested will do all of A, B, and C. Go!

OpenStudy (anonymous):

@@......

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