Question 1180307
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The point of tangency is (x(3),y(3)) = (45,30)<br>
The slope of the tangent is the derivative of the curve at t=3.<br>
{{{dy/dx=(dy/dt)/(dx/dt) = (10)/(10t) = 1/t}}}<br>
So at t=3 the slope is 1/3.<br>
Use basic algebra with a slope of 1/3 and a point (45,30) to confirm the correctness of the answer you show.<br>