1. Consider the following function: f (x) = x² + 8x cos y 2x + 10 cos y – 8 cos² y + 8 cos y, x = (x, y) E R². | Using the necessary and sufficient conditions, compute by hand all minima and maxima of f(x). Classify these minima and maxima. Hint: To classify the minima and maxima, use the identity x2 + 8xz - 2x + 10z – 8z² + 8z³ = 2z(2z – 3)² + (x + 4z – 1)² – 1.
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
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