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Q: At what point is the line of y equals x -4 tangent to the curve of x squared plus y squared equals 8?
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What is the value of k when y equals 3x plus 1 is a line tangent to the curve of x squared plus y squared equals k hence finding the point of contact of the line to the curve?

It is (-0.3, 0.1)


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A line tangent to a curve, at a point, is the closest linear approximation to how the curve is "behaving" near that point. The tangent line is used to estimate values of the curve, near that point.


How do you find the slope of an Indifference curve?

You find the tangent to the curve at the point of interest and then find the slope of the tangent.


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As a curve approaches a maximum point the slope will do what?

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In maths what is a tangent and what is a chord?

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