Solution 2.3:10c - Revision history

Tek at 07:16, 30 September 2008

2008-09-30T07:16:22Z

←Older revision		Revision as of 07:16, 30 September 2008
Line 1:		Line 1:
-	The expression	+	The expression <math>1\ge x\ge y^{2}</math> means that we have a region which is defined by the two inequalities <math>1\ge x</math> and <math>x\ge y^{2}</math>. The first inequality gives us the region to the left of the line <math>x=1</math>. If the other inequality had been instead <math>y\ge x^{2}</math>, we would have a region above the parabola <math>y=x^{2}</math>, but in our case ''x'' and ''y'' have reversed roles, so the inequality <math>x\ge y^{2}</math> defines the same type of parabolic region, but with the ''x''- and ''y''-axes having changed place.
-	<math>~~\text{~~1}\ge x\ge ~~\text{ }~~y^~~{\text~~{2}}</math>	+
-	means that we have a region which is defined by the two inequalities	+
-	<math>~~\text{~~1}\ge x~~\text{ }~~</math>	+	{\| align="center"
-	and	+	\|align="center"\|[[Image:2_3_10_c1-1.gif\|center]]
-	<math>x\ge ~~\text{ }~~y^~~{\text~~{2}}</math>. The first inequality gives us the region to the left of the line	+	\|width="10px"\|
-	<math>x=~~\text{~~1}</math>. If the other inequality had been instead	+	\|align="center"\|[[Image:2_3_10_c1-2.gif\|center]]
-	<math>y=x^~~{\text~~{2}}</math>, we would have a region above the parabola	+	\|-
-	<math>y=x^~~{\text~~{2}}</math>, but in our case	+	\|align="center"\|<small>The region 1 ≥ ''x''</small>
-	~~<math>~~x~~</math>~~	+	\|\|
-	and	+	\|align="center"\|<small>The region ''x'' ≥ ''y''²</small>
-	~~<math>~~y~~</math>~~	+	\|}
-	have reversed roles, so the inequality	+
-	<math>x\ge ~~\text{ }~~y^~~{\text~~{2}}</math>	+
-	defines the same type of parabolic region, but with the	+
-	<~~math~~>x</~~math~~>	+
-	~~- and~~	+
-	<~~math~~>y</~~math~~>	+
-	~~-axes having changed place.~~	+

-	[[Image:2_3_10_c1.gif\|center]]
	Together, the inequalities define the region that is bordered on the left by the parabola and on the right by the line.		Together, the inequalities define the region that is bordered on the left by the parabola and on the right by the line.
-	[[Image:2_3_10_c2.gif\|center]]	+
		+
		+	{\| align="center"
		+	\|align="center"\|[[Image:2_3_10_c2.gif\|center]]
		+	\|-
		+	\|align="center"\|<small>The region 1 ≥ ''x'' ≥ ''y''²</small>
		+	\|}

Ian at 12:47, 21 September 2008

2008-09-21T12:47:18Z

←Older revision		Revision as of 12:47, 21 September 2008
Line 1:		Line 1:
-	{{~~NAVCONTENT_START~~}}	+	The expression
-	<~~center~~> ~~[[Image:2_3_10c-~~1(2).~~gif]]~~ </~~center~~>	+	<math>\text{1}\ge x\ge \text{ }y^{\text{2}}</math>
-	{{~~NAVCONTENT_STOP~~}}	+	means that we have a region which is defined by the two inequalities
-	{{~~NAVCONTENT_START~~}}	+	<math>\text{1}\ge x\text{ }</math>
-	<~~center~~> ~~[[Image:2_3_10c-2(2).gif]]~~ </~~center~~>	+	and
-	{{~~NAVCONTENT_STOP~~}}	+	<math>x\ge \text{ }y^{\text{2}}</math>. The first inequality gives us the region to the left of the line
		+	<math>x=\text{1}</math>. If the other inequality had been instead
		+	<math>y=x^{\text{2}}</math>, we would have a region above the parabola
		+	<math>y=x^{\text{2}}</math>, but in our case
		+	<math>x</math>
		+	and
		+	<math>y</math>
		+	have reversed roles, so the inequality
		+	<math>x\ge \text{ }y^{\text{2}}</math>
		+	defines the same type of parabolic region, but with the
		+	<math>x</math>
		+	- and
		+	<math>y</math>
		+	-axes having changed place.
		+
	[[Image:2_3_10_c1.gif\|center]]		[[Image:2_3_10_c1.gif\|center]]
		+	Together, the inequalities define the region that is bordered on the left by the parabola and on the right by the line.
	[[Image:2_3_10_c2.gif\|center]]		[[Image:2_3_10_c2.gif\|center]]

Tekbot: Lösning 2.3:10c moved to Solution 2.3:10c: Robot: moved page

2008-09-09T08:54:03Z

Lösning 2.3:10c moved to Solution 2.3:10c: Robot: moved page

←Older revision

Revision as of 08:54, 9 September 2008

Tekbot: Robot: Automated text replacement (-[[Bild: +[[Image:)

2008-08-21T06:44:09Z

Robot: Automated text replacement (-[[Bild: +[[Image:)

←Older revision		Revision as of 06:44, 21 August 2008
Line 1:		Line 1:
	{{NAVCONTENT_START}}		{{NAVCONTENT_START}}
-	<center> [[~~Bild~~:2_3_10c-1(2).gif]] </center>	+	<center> [[Image:2_3_10c-1(2).gif]] </center>
	{{NAVCONTENT_STOP}}		{{NAVCONTENT_STOP}}
	{{NAVCONTENT_START}}		{{NAVCONTENT_START}}
-	<center> [[~~Bild~~:2_3_10c-2(2).gif]] </center>	+	<center> [[Image:2_3_10c-2(2).gif]] </center>
	{{NAVCONTENT_STOP}}		{{NAVCONTENT_STOP}}
-	[[~~Bild~~:2_3_10_c1.gif\|center]]	+	[[Image:2_3_10_c1.gif\|center]]
-	[[~~Bild~~:2_3_10_c2.gif\|center]]	+	[[Image:2_3_10_c2.gif\|center]]

Madde at 11:55, 15 August 2008

2008-08-15T11:55:59Z

←Older revision		Revision as of 11:55, 15 August 2008
Line 6:		Line 6:
	{{NAVCONTENT_STOP}}		{{NAVCONTENT_STOP}}
	[[Bild:2_3_10_c1.gif\|center]]		[[Bild:2_3_10_c1.gif\|center]]
-	[[Bild:~~2_3_10c-2(2)~~.gif\|center]]	+	[[Bild:2_3_10_c2.gif\|center]]

Madde at 11:55, 15 August 2008

2008-08-15T11:55:04Z

←Older revision		Revision as of 11:55, 15 August 2008
Line 5:		Line 5:
	<center> [[Bild:2_3_10c-2(2).gif]] </center>		<center> [[Bild:2_3_10c-2(2).gif]] </center>
	{{NAVCONTENT_STOP}}		{{NAVCONTENT_STOP}}
		+	[[Bild:2_3_10_c1.gif\|center]]
		+	[[Bild:2_3_10c-2(2).gif\|center]]

Oskar at 10:58, 1 April 2008

2008-04-01T10:58:31Z

←Older revision		Revision as of 10:58, 1 April 2008
Line 1:		Line 1:
	{{NAVCONTENT_START}}		{{NAVCONTENT_START}}
-	<center> [[Bild:2_3_10c.gif]] </center>	+	<center> [[Bild:2_3_10c-1(2).gif]] </center>
		+	{{NAVCONTENT_STOP}}
		+	{{NAVCONTENT_START}}
		+	<center> [[Bild:2_3_10c-2(2).gif]] </center>
	{{NAVCONTENT_STOP}}		{{NAVCONTENT_STOP}}

Oskar: Ny sida: {{NAVCONTENT_START}} Bild:2_3_10c.gif {{NAVCONTENT_STOP}}

2008-04-01T10:58:08Z

Ny sida: {{NAVCONTENT_START}} <center> Bild:2_3_10c.gif </center> {{NAVCONTENT_STOP}}

New page

{{NAVCONTENT_START}}
<center> [[Bild:2_3_10c.gif]] </center>
{{NAVCONTENT_STOP}}