Upload
nefta-baptiste
View
212
Download
0
Embed Size (px)
Citation preview
7/29/2019 Mathcad - CAPE - 2001 - Math Unit 2 - Paper 02
1/10
CAPE - 2001Pure Mathematics - Unit 2
Paper 02
Section A (Module 1)
1 a( ) The parametric equations of a curve are given by
x t3
et
tt
y t et.tt
i( ) Show thatdy
dx
t 1
t2
t 3( )
dy
dx
t
t t
[4 marks]
ii( ) Hence state the values of t for which the derivative of the curve is not defined
[3 marks]
iii( ) Determine the equation of the tangent at the stationary point on the curve
[3 marks]
b( ) Using the derivatives of sin x and cos x with respect to x show that the derivative oftan x with respect to x is
sec2
x [5 marks]
c( ) A curve has equation y tan x
6
. x where 0 x 1)
S4
1 R4
1.
R 1
41
beginning of fifth month: Amount 1000 R4 PR R
41.
R 1
41PR
d( ) 0 1000 Rn PR R
n1.
R 1R
nnPR R
n1. 1000 R
nR 1( )R
nn
P1000 R
nR 1( )
R Rn
1.
Rnn
P1000 R
n 1R 1( )
Rn
1
Rn 1n
10