diff --git a/source/calculus/source/03-AD/07.ptx b/source/calculus/source/03-AD/07.ptx
index 3853c1117..35e68469e 100644
--- a/source/calculus/source/03-AD/07.ptx
+++ b/source/calculus/source/03-AD/07.ptx
@@ -275,7 +275,7 @@ Note that some of the graphs below are definitely hard... might want to tell thi
f(x)=\frac{x^2-4}{x^2-9}
- Note that there is a horizontal asymptote at y=1.
+ Note that there is a horizontal asymptote at y=1.
x = var('x')
@@ -295,7 +295,7 @@ Note that some of the graphs below are definitely hard... might want to tell thi
f(x)=\frac{x^2+x-2}{x+3}
- Note that this graph has a slant asymptote of y=x.
+ Note that this graph has a slant asymptote of y=x.
x = var('x')
@@ -305,7 +305,7 @@ Note that some of the graphs below are definitely hard... might want to tell thi
f(x)=\frac{x}{\sqrt{x^2+2}}
- Note that this graph has horizontal asymptotes at y=\pm 1.
+ Note that this graph has horizontal asymptotes at y=\pm 1.
x = var('x')
diff --git a/source/precalculus/source/01-EQ/03.ptx b/source/precalculus/source/01-EQ/03.ptx
index d2009186e..5d424564f 100644
--- a/source/precalculus/source/01-EQ/03.ptx
+++ b/source/precalculus/source/01-EQ/03.ptx
@@ -32,7 +32,7 @@
- Point C should be at the point (2,2).
+ Point C should be at the point (2,2).
@@ -42,9 +42,9 @@
- AC is 4 units long.
- BC is 2 units long.
- Make sure students pay attention to the scale.
+ AC is 4 units long.
+ BC is 2 units long.
+ Make sure students pay attention to the scale.
@@ -54,7 +54,8 @@
- Students should see that they can use the Pythagorean Theorem to find the length of side AB (which is \sqrt{20} or approximately 4.5).
+ Students should see that they can use the Pythagorean Theorem to find the length of
+ side AB (which is \sqrt{20} or approximately 4.5).
@@ -76,7 +77,8 @@
- Students may need help in their drawing. Make sure the hypotenuse is the line segment that connects the two points.
+ Students may need help in their drawing. Make sure the hypotenuse is the line segment that
+ connects the two points.
@@ -86,7 +88,9 @@
- The lengths of the legs of the triangle should be y_{2}-y_{1} and x_{2}-x_{1} (or y_{1}-y_{2} and x_{1}-x_{2} depending on how students created their drawing).
+ The lengths of the legs of the triangle should be y_{2}-y_{1} and
+ x_{2}-x_{1} (or y_{1}-y_{2} and x_{1}-x_{2} depending on
+ how students created their drawing).
@@ -96,7 +100,10 @@
- Students should see the connection to the previous activity and apply the Pythagorean Theorem. They should get either \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2} or \sqrt{(x_{1}-x_{2})^2+(y_{1}-y_{2})^2} to represent the length of the side that connects the two points.
+ Students should see the connection to the previous activity and apply the Pythagorean
+ Theorem. They should get either \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2} or
+ \sqrt{(x_{1}-x_{2})^2+(y_{1}-y_{2})^2} to represent the length of the side
+ that connects the two points.
@@ -125,7 +132,7 @@
\sqrt{56}
- B and C
+ B and C
@@ -138,7 +145,7 @@
\sqrt{61}
- B and D
+ B and D
@@ -152,7 +159,7 @@
(-5,-5)
- B
+ B
@@ -193,7 +200,7 @@
(10,2)
- B
+ B
@@ -206,7 +213,7 @@
(5,2)
- D
+ D
@@ -219,7 +226,7 @@
(5,2)
- C
+ C
@@ -260,7 +267,7 @@
(1,4)
- B
+ B
@@ -273,7 +280,7 @@
(4,7)
- C
+ C
@@ -286,7 +293,7 @@
(8,6)
- D
+ D
@@ -304,7 +311,7 @@
- \sqrt{113} or 10.6
+ \sqrt{113} or 10.6
@@ -314,7 +321,7 @@
- (2,1.5)
+ (2,1.5)
diff --git a/source/precalculus/source/03-LF/03.ptx b/source/precalculus/source/03-LF/03.ptx
index b26278743..7c645a553 100644
--- a/source/precalculus/source/03-LF/03.ptx
+++ b/source/precalculus/source/03-LF/03.ptx
@@ -30,7 +30,7 @@
- Many answers possible.
+ Many answers possible.
@@ -65,7 +65,7 @@
- Just the one possible line.
+ Just the one possible line.
diff --git a/source/precalculus/source/03-LF/06.ptx b/source/precalculus/source/03-LF/06.ptx
index f9fc06bd0..ecc03cf4b 100644
--- a/source/precalculus/source/03-LF/06.ptx
+++ b/source/precalculus/source/03-LF/06.ptx
@@ -179,7 +179,7 @@
- The point of intersection is (1,1).
+ The point of intersection is (1,1).
@@ -229,7 +229,7 @@
- The point of intersection is not at a "nice" point, making it hard to see exactly where it is.
+ The point of intersection is not at a "nice" point, making it hard to see exactly where it is.
diff --git a/source/precalculus/source/05-EL/02.ptx b/source/precalculus/source/05-EL/02.ptx
index b8ef46085..836c53cab 100644
--- a/source/precalculus/source/05-EL/02.ptx
+++ b/source/precalculus/source/05-EL/02.ptx
@@ -105,7 +105,7 @@
- E
+ E
@@ -124,7 +124,7 @@
- C
+ C
@@ -332,7 +332,7 @@
- C
+ C
@@ -351,7 +351,7 @@
- E
+ E
diff --git a/source/precalculus/source/05-EL/04.ptx b/source/precalculus/source/05-EL/04.ptx
index 98725ab20..ffdf00986 100644
--- a/source/precalculus/source/05-EL/04.ptx
+++ b/source/precalculus/source/05-EL/04.ptx
@@ -134,7 +134,7 @@ p
- D
+ D
@@ -153,7 +153,7 @@ p
- E
+ E
@@ -171,7 +171,7 @@ p
- A
+ A
@@ -189,7 +189,7 @@ p
- D
+ D