Write the equation for the line tangent to the circle x2 + y2 = 29 at the point (2, 5).
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OpenStudy (anonymous):
Can someone help me?
OpenStudy (campbell_st):
ok... rewrite the equation of the circle with y as the subject... leave you answer in index form.
doing this will allow you to find the 1st derivative.
OpenStudy (anonymous):
would it be y-2=-2/5x-5
OpenStudy (campbell_st):
nope how about
\[y = (29 - x^2)^{\frac{1}{2}}\]
so can you find the 1st derivative of the equation..?
OpenStudy (anonymous):
I dont understand it at all then.
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OpenStudy (campbell_st):
ok... so are you doing calculus at the moment...?
OpenStudy (anonymous):
nope algerbra 2
OpenStudy (campbell_st):
ok... well for me... this is a calculus question, have you done any calculus...?
OpenStudy (anonymous):
nope not at all do you want me to give you the choices i was told?
OpenStudy (campbell_st):
yep go on...
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OpenStudy (anonymous):
y-5=-2/5x+2
y-2=-2/5x+1
y-5=-2/5(x-2)
OpenStudy (anonymous):
and then the one i posted earlier
OpenStudy (campbell_st):
its the last choice.... I hope they give you solutions.... so you can see how it was done...
OpenStudy (anonymous):
so the bottom one of the three i posted together?
OpenStudy (campbell_st):
yep.... thats the solution.
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