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1. Given parametric equations below, find dy/dx , equations of the tangent and normal line at...

1. Given parametric equations below, find dy/dx , equations of the tangent and normal line at the given point.

(a) x = t^2 , y = t^3−3t at t = 1

(b) x = cos(t), y = sin(2t) at t = π/4

2. ) Given parametric equations below, find d^2y/dx^2 and determine the intervals on which the graph of the curve is concave up or concave down.

(a) x = t^2 , y = t^3−3t

(b) x = cos(t), y = sin(2t)

Solutions

Expert Solution

milcah answered 2 years ago
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