Mathematical Applications and Computations IV Honours
MATH 4009F

Fall 2016
(a) x =
x = 2 (A1)
1.
4
2
(M1)
OR
dy
dx = 4 2x (M1)
x=2
(A1)
(2, 7) or x = 2, y = 7
(C3)
Notes: Award (M1)(A1)(A0) for 2, 7 without parentheses.
(b)
(i)
(ii)
C labelled in correct position on graph
(C1)
(A1)
(A1)
2
3 = 3 + 4x x
(M1)
Note: Award (M1) for
Mathematical Applications and Computations IV Honours
MATH 4009F

Fall 2016
1.
(a)
1 2
x x
2 4
(A1) (C1)
Note: Accept an equivalent, unsimplified expression (i.e.
1
2 x).
4
(b)
1
(A1)
(c)
1
x=1
2
(M1)
x=2
(C1)
(A1)(ft)
Notes: Award (M1)(A0) for coordinate pair ( 2, 1) seen with
or without working.
Follow through from their answ
Mathematical Applications and Computations IV Honours
MATH 4009F

Fall 2016
1.
(a)
x=
4
2
(M1)
x=2
(A1)
OR
dy
= 4 2x
dx
x=2
(M1)
(A1)
(2, 7) or x = 2, y = 7
(A1) (C3)
Notes: Award (M1)(A1)(A0) for 2, 7 without parentheses.
(b)
(i)
C labelled in correct position on graph
(ii)
3 = 3 + 4x x
Note: Award (M1) for correct substitution