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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §2.3 The Slope and the Tangent Line, #23 · Calculus · Derivatives

### *24 If the parabolas … and … come closest at …

Draw two curves bending away from each other. Mark the points $P$ and $Q$ where the curves are closest. At those points, the tangent lines are ____ and the normal lines are ____.

### *24
If the parabolas $y = x^{2} + 1$ and $y = x - c^{2}$ come closest at $(a, a^{2} + 1)$ and $(c, c - c^{2})$ , set up two equations for $a$ and $c$ .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §2.3 The Slope and the Tangent Line, #23

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