Solution 2.3:7a

From Förberedande kurs i matematik 1

(Difference between revisions)
Jump to: navigation, search
m (Lösning 2.3:7a moved to Solution 2.3:7a: Robot: moved page)
Line 1: Line 1:
-
{{NAVCONTENT_START}}
+
In the polynomial
-
<center> [[Image:2_3_7a.gif]] </center>
+
<math>1-x^{2}</math>, only the second term depends on
-
{{NAVCONTENT_STOP}}
+
<math>x</math>
 +
and, on account of the minus sign in front of that term, the whole expression is largest when the square
 +
<math>x^{2}</math>
 +
is least. The quadratic term
 +
<math>x^{2}</math>
 +
is least when
 +
<math>x=0</math>. The polynomial's largest value is equal to
 +
<math>1-0^{2}=1</math>.

Revision as of 11:07, 21 September 2008

In the polynomial \displaystyle 1-x^{2}, only the second term depends on \displaystyle x and, on account of the minus sign in front of that term, the whole expression is largest when the square \displaystyle x^{2} is least. The quadratic term \displaystyle x^{2} is least when \displaystyle x=0. The polynomial's largest value is equal to \displaystyle 1-0^{2}=1.

Retrieved from "http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-ImperialCollege/index.php/Solution_2.3:7a"