SOLUTION: curve c is described by the equation 0.25x2+y2=9. determine the y coordinates of the points on curve c whose tangent lines have a slope equal to 1

Algebra ->  Linear-equations -> SOLUTION: curve c is described by the equation 0.25x2+y2=9. determine the y coordinates of the points on curve c whose tangent lines have a slope equal to 1       Log On


   

Question 635288: curve c is described by the equation 0.25x2+y2=9. determine the y coordinates of the points on curve c whose tangent lines have a slope equal to 1
Answer by solver91311(24713) About Me  (Show Source):
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Find such that

Differentiate implicitly:



So



But if , then , hence:



Substituting into the original equation:









But



so



And the two points are:





John

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