Answered: (a) k : R³→ R defined by: k (x) = x" Ax… | bartleby

Intermediate Algebra

Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter9: Quadratic Equations And Functions

Section9.6: Graph Quadratic Functions Using Properties

Problem 9.104TI: A path of a toy rocket thrown upward from the ground at a rate of 208 ft/sec is modeled by the...

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Question

Find and classify the stationary point(s) of the following functions:
(a) k : R³→ R defined by:
k (x) = x" Ax + b,
where:
3
-1
1
A =
-1 3
1
1
1
-3
and b= 2. Is k (x) a quadratic form?
(b) l : R²→ R defined by:
1(x) = x1e¬#1(x; – 4.x2).
Are any of the stationary points of l(x) global extrema? Why/why not?

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