maths and comp sci

2 files changed, 94 insertions, 0 deletions

diff --git a/maths/hw/eq17/Makefile b/maths/hw/eq17/Makefile
new file mode 100644
index 0000000..6635264
--- /dev/null
+++ b/maths/hw/eq17/Makefile
@@ -0,0 +1,4 @@
+all: eq17 
+
+eq17: eq17.ms
+	groff -ms -Tps -e eq17.ms | ps2pdf - > eq17.pdf
diff --git a/maths/hw/eq17/eq17.ms b/maths/hw/eq17/eq17.ms
new file mode 100644
index 0000000..850bbdc
--- /dev/null
+++ b/maths/hw/eq17/eq17.ms
@@ -0,0 +1,90 @@
+.TL
+Exam Questions 17
+.AU
+Lucas Standen
+.AI
+QMC
+
+.PP
+1)a)
+
+.EQ
+dx over dt = 2cos(t)
+.EN
+
+.EQ
+dy over dt = 2sin(2t)
+.EN
+
+.EQ
+dy over dx = 2cos(t) over 2sin(2t)
+.EN
+
+.EQ
+"when " t = pi over 6
+.EN
+
+.EQ
+dy over dx = {2cos({pi over 6})} over {2sin(2({pi over 6}))}
+.EN
+
+.EQ
+dy over dx = 1
+.EN
+
+.PP
+1)b)
+
+.EQ
+x = 2sin(t) 
+.EN
+
+.EQ
+x over 2 = sin(t)
+.EN
+
+.EQ
+1 = cos(2t)
+.EN
+
+.EQ 
+1 = 1 - cos sup 2 (t)
+.EN
+
+.EQ 
+y = cos sup 2 (t)
+.EN
+
+.EQ
+({x over 2}) sup 2 + y sup 2 = 1
+.EN
+
+.EQ
+{x over 4} sup 2 + y sup 2 = 1
+.EN
+
+.EQ
+{x over 4} sup 2 - 1 = - y sup 2 
+.EN
+
+.EQ
+- {x over 4} sup 2 + 1 = y sup 2 
+.EN
+
+.EQ
+sqrt {- {x over 4} sup 2 + 1} = y sup 2 
+.EN
+
+.EQ
+-2 <= x <= 2 
+.EN
+
+.PP
+1)c)
+
+.EQ
+0 <= f(x) <= 1
+.EN
+
+
+