February 22, 2017

Homework Help: Calculus

Posted by Chelsea on Sunday, October 31, 2010 at 9:17pm.

a)The curve with equation: 2y^3 + y^2 - y^5 = x^4 - 2x^3 + x^2 has been linked to a bouncing wagon. Use a computer algebra system to graph this curve and discover why.
b)At how many points does this curve have horizontal tangent lines? Find the x-coordinates of these points.

I used MAPLE to graph the equation, but I do not understand what they mean. The graph has a closed odd shape at the top and two lines that extend from slightly below the origin, one going to the left and one to the right. Please help?

For part b, the curve appears to have horizontal tangent lines at 3 points??? I used implicit differentiation on the equation and then solved for the values of x, which I got (0, 1, and 0.5)?

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