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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