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consider the curve described by the equation: 4x2 - 3xy + y2 = 14 at any...

consider the curve described by the equation:

4x2 - 3xy + y2 = 14

at any given point on this curve, we have

dy/dx = -8x + 3y / -3x + 2y

your task is to find the points on the curve where the tangent line is parallel to the line y = x

What is the x-coordinae of the leftmost point on the curve where the tangent line is parallel to the line y= x

Solutions

Expert Solution

We have to equate the slopes of the tangent line and the line y=x to find out the points on the curve where these lines are parallel. For the second part, we will use the curve y=5x which we get from the first part in the given equation 4x2-3xy+y​​​​​​2​​​​​ =0.

milcah answered 2 years ago
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