Paper 3 Flashcards
1
Q
find gdashedx
A
e^3xsec2x(3+2tan2x)
2
Q
derivative of sec2x
A
2sec2xtan2x
3
Q
x-coordinate of stationary point C
A
-0.49
4
Q
x cannot be
A
e^2
5
Q
explanation for > 0
A
- multiply numerator and denominator by x
- squared numbers have to be greater than 0
- x has to be greater than 0
- dividing one by a number greater than zero will always result in a number greater zero
6
Q
A co-ordinate
A
(-4,0)
7
Q
At B, t=
A
-2
8
Q
At intersection, t =
A
20/7
9
Q
At intersection, x =
A
-40/49
10
Q
A =
A
1
11
Q
B =
A
6
12
Q
C =
A
-15
13
Q
integral of x + 6 + (-15)/(x+2)
A
1/2x^2 + 6x - 15ln(x+2) + 15ln(2)
14
Q
final answer for ln(2) integral
A
54 - 30ln(2)
15
Q
integral of lnx/x^2
A
(-lnx -1)/x + c
