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OpenStudy (anonymous):
find the equation of the line tangent to 9x^2+16y^2=52 through (2,-1)
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OpenStudy (anonymous):
take the derivative wrt x and get \[18x+32yy'=0\] solve for \(y'\) and get \[y'=-\frac{18x}{32y}=-\frac{9x}{16y}\] replace x by 2 and y by -1 to get the slope, then use the point - slope formula
OpenStudy (anonymous):
ohhh gotcha. thanks
OpenStudy (anonymous):
yw
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