📘 calculus, optimization
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Loss Curvature 9D9C92
1. **Problem Statement:** We analyze the quadratic loss function $$L(w) = aw^2 + bw + c$$ where $a$, $b$, and $c$ are constants.
2. **Find the first differential $dL$ and second di
Tangent Second Derivative Cost
1. Problem 07a: Find the slope of the parabola $y=\sqrt{x}$ and write the equation of the tangent line at $x=4$.
2. To find the slope of the tangent line, we need the derivative $\
Reservoir Optimization
1. **Problem Statement:**
We need to find the radius $r$ and cylindrical height $h$ of a reservoir composed of a right circular cylinder with a hemispherical top that maximizes the