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Mathematics Methods
MTM415117
ASSESSMENT REPORT
Markers Report on Exam 2019
P - 12( ) = 0
y =a
(x - h)+ k
nC1= n
n
e14 = 2x + 2y x2y2 and xy( )2
y5
x2
x = e3 and y = e4 y
ex y
Mathematics Methods
MTM415117
x
yÎ 1,5
2
é
ëê
ù
ûú
180
p
sin x = cosp
2- x
æ
èçö
ø÷0 < x <
p
2
sin11p
15
æ
èçö
ø÷= sin
4p
15
æ
èçö
ø÷
sin4p
15
æ
èçö
ø÷= cos
p
2-
4p
15
æ
èçö
ø÷
tan x = -3
3 or tan x = -
1
3
x
2p
x
Mathematics Methods
MTM415117
y
e
ln(2)
f (x)
f '(x) with g '(x)
x
x y
5
4y = mx + c
y - y1= m x - x
1( )
m =y2 - y1
x2 - x1 instead of m =
y2- y
1
x2- x
1
pc
1
2
Mathematics Methods
MTM415117
x2
f (x)
f (3) - f (0)
c
x
e- x
e0 = 1
E X 2( ) E X( )
Pr(X =1) + Pr(X = 2) + Pr(X = 3) + Pr(X = 4) + Pr(X = 5)
1- Pr(X = 0)
Pr(X > 3)
Mathematics Methods
MTM415117
y x
-2 x +1( )2
+ 2
-2 x +1( )2
- 2
f (x)
y -2 x -1( )2
+ 2éëê
ùûú
= -2 x -1( )2
- 2
x -2 -x -1( )2
- 2 = -2 - x +1( )2( )- 2 = -2 x +1( )
2
- 2
x
g(x)
y = a x - h( )3
+ k
y = a x - b( )2
x - c( ) a
a
y = -2x3 + 6x + 4
6.4 = log10
I
S
æ
èçö
ø÷M
I I =1M = 7.0
Mathematics Methods
MTM415117
T (F(T ))
F(T (K))
F(T ) = T (K)
x y y
±±
x y y
f -1(x)
sin2q + cos2q =1
y = 3sinx
4
æ
èçö
ø÷
sinq = -0.7
q Î 0,50péë ùû q Î 50p ,51péë ùû
A(t)1
440
Mathematics Methods
MTM415117
N (t)
N (t)
H(t) = 25cos(20t) + 25
b2p
period
H (t) =75
2
run
rise
x = C to x®¥
x
L = x2 -5x + 9
xL x
L
Mathematics Methods
MTM415117
x
Area = f (x)dxA
B
ò - f (x)dxB
C
ò + f (x)dxC
D
ò
Area = Area Rectangle - x -11
5
ò dx
Mathematics Methods
MTM415117
z =1.28
k = -2 and k = 0 kk = -2 and k = 0
k =1
3
z