Question
$3-14$ Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given constraint.$f(x, y, z, t)=x+y+z+t ; \quad x^{2}+y^{2}+z^{2}+t^{2}=1$
Step 1
The gradient of $f$ is $\nabla f = (1, 1, 1, 1)$ and the gradient of $g$ is $\nabla g = (2x, 2y, 2z, 2t)$. Show more…
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