Asked by Dakotah

Consider the curve in the xy-plane defined by (x^2) − ((y^2) / (5))=1. It is known that dy/dx=(5x)/y and d^2y/dx^2= −25/(y^3). What is true about the curve in Quadrant IV?



Is it concave up or down and why?

Answers

Answered by oobleck
well, first off you know that this is an ellipse with center at (0,0), which makes it concave up everywhere below the x-axis.
Since y" > 0 when y < 0, the same holds true.
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