# Should I plot them?

Calculus Level 5

Find the slope of the tangent to the curve $$y=\dfrac{1}{2x}+3$$ at the point where $$x=-1$$. Find the angle which this tangent makes with the curve $$y=2x^2+2$$, where $$x < 0$$. Submit your answer as the angle in degrees. You may use the fact that $$\arctan \left( \frac{1}{2} \right)\approx 26^\circ$$.

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