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# Slope of a Tangent to a Parametric Curve

APCALC-HJNSJL

A particle moves along the path in the xy-plane according to $x( t ) =2\sin { ( 5t ) }$ and $y( t ) ={ -3t }^{ 2 }+4t-1$.

Find the slope of the line tangent to the curve at $t=0$.

A

$\cfrac{2}{5}$

B

$-\cfrac{2}{5}$

C

$2$

D

$-2$