MediumLagrange multipliers

Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §13.7 Constraints and Lagrange Multipliers, #22 · Multivariable Calculus · Lagrange multipliers

Minimize … on the plane … one constraint and one multiplier

Minimize $f = x^{2} + y^{2} + z^{2}$ on the plane $a x + b y + cz = d =$ one constraint and one multiplier. Compare $f_{m i n}$ with the distance formula $∣ d ∣/ a^{2} + b^{2} + c^{2}$ in Section 11.2.

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §13.7 Constraints and Lagrange Multipliers, #22

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