Unoffical Mark scheme for C1 AQA 2016It would help if you could link answers to questions as i cant remember them Questions:
1) a)Asked to work out gradient of a tangent,
m= - 5/3 [2] b)Asked to find co-ordinates of B
B( - 3,4) [3] c)Asked to find K
K= - 30 [2]2) a) simplify (3√5)^2 =
45 [1] b) i cant remember the question but the answer was
75 - 32√5 [4]3) a)
y=(x-7/2)^2 - 41/4 b) min value =
-41/4c)
Translation of
(1/2 , 41/4)4) a) show that (x+3) was a factor of x^3 - 5x^2 -8x + 48,
p(-3) = 0, (x+3) is a factor of p(x). b) three linear factors of p(x) =
(x+3)(x-4)(x-4) c) find remainder when p(x) was divided by (x+2)
R=20 d) Factorise p(x) using (x+2)
R = (x-2)(x^2-3x-14) + 20 [3]5) a) asked to find equation of circle
(x-5)^2+(y+3)^2=65 (note 65 = r^2)
[3] b) asked to find co-ordinates of B (AB is diameter)
B ( 12, -7) [2] c) asked to find equation of tangent at A
7x-4y+18=0 [5] d) asked to find length of CT =
9 [2]6) a)
y=-32x-40 b)Q
(-5/4) [1]c)
upside down positive graph passing through y axis at 8 [2]d)
x = -1±√57) a) i think there was 4 parts to this question i cant remember part a and b
b)
c) definite integral =
=
81 /4 [5] d) area of shaded region =
=
45/4 [3]8) a) cant remember anything except the answers were
k>6 and k<-3/2Answers that need a question to be assigned to
-
k=4 and k=20- d^2y/dx^2= - 2x - 9x^2 sub in x-coord of p to get 45, 45>0 therefore minimum