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1) x = t^3 + 1 , y = t^2 - t , Find an equation...

1) x = t^3 + 1 , y = t^2 - t , Find an equation of the tangent to the curve at the point corresponding to t = 1

2) x = t^2 + 1 , y = 3t^2 + t ,Find

a) dy/dx ,

b) (d^2)y / dx^2

c) For which values of t is the curve concave upward?

3) sketch the curve: r = 1 - 3cos θ

4)A demand curve is given by p = 450/(x + 8). Find the consumer surplus when the selling price is $15. Round the final answer to nearest cents.

Math   Calculus   
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