Numerical Analysis
10th Edition
ISBN: 9781305253667
Author: Richard L. Burden, J. Douglas Faires, Annette M. Burden
Publisher: Cengage Learning
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2. Assume that ƒ: R100 R² is linear and that for certain u, ER100
f(u) =
- (4)
and ƒ(v) = (2).
Explicitly compute with work the following:
(a).
(b)
(c)
f(u+v)
f(100)
Assume that W is a vector space and g,h: W → R are both
linear maps. Show that the function
k : W→ R², k(w) = (())
is linear.
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Which system is represented in the graph?
Oy > x²+4x-5
y>x+5
Oy x²+4x-5
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The functions f(x) = x² - 3 and g(x) = x² + 2 are shown on the graph.
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g(x) = x² + 2
If the equations were changed to the inequalities shown, explain how the graph would change.
y≤ x² - 3
y>-x²+2
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