Consider the following parametric curve. Use the information to answer parts ​(a) and ​(b).   x=cost​, y=2sint​; t=π/2   ​(a). Determine dydx in terms of t and evaluate it at the given value of t. (b). Make a sketch of the curve showing the tangent line at the point corresponding to the given value of t.

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Consider the following parametric curve. Use the information to answer parts ​(a) and
​(b).
 
x=cost​, y=2sint​; t=π/2
 
​(a). Determine dydx in terms of t and evaluate it at the given value of t.
(b). Make a sketch of the curve showing the tangent line at the point corresponding to the given value of t.
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