Advanced level 2023 south west regional mock further mathematics 1
Advanced level 2023 south west regional mock further mathematics 1
educes at a rate equal to twice the number ( 0 , 0 )
present at time t. The differential equation
.
dx
describing this situation Is — –
C
D a’!>
18. The negation of the statement ~p and q is
p or ~ q
p and ~q
p or ~ q
~p or q
A -2
B 2 A
C -lx B
D 2x C
D
dzx
13. The equation
represents oscillatory motion when
k 2 > n2
k 2 < n2
k 2 = n2
4k 2 > n2
+2k^ + n1x = 0 , 19. The velocities of a sphere before and after
impact are —3i + 4j – k and l + j + yk.
If after the impact the sphere moves at right
angles to its direction before the Impact,
then the value of y is
dt
ABCD
A 2
B 1
14. If g( x ) = 1- 2x + x 2, then the equation
g ( x ) = 0 has a solution in the interval
C -1
D -2
A 1-2.-1]
B l-i. o] 20. If y = \ x + 1| – |x| + 2 ,
c 10.1] then for —1< x < 0 , y =
D [1.2] A -1
2x + 3
—2x + 1
B
15. Given that /(x) = *in , x * 0 C
D 1
k , x = 0,
is continuous at x = 0, the value of the
IJ
r dx
/ constant A 0 k , is 2i.;Vl+9*2
sinh-1( 3x) + k
^tanh sinh-1-1(3(3xx))++kk
^ tanh-1(3x) + k
A
l
B 3 B
C 1 c
0 3
D
16. A force F = (2i- j + 2k ) N acts on a particle,
moving it from a point A( 1, 2 , -1) to a point
B( 3, -3 , 0 ) . The work done by F, in joules is
22. Let forces Fi,F2,F3, …. Fn act at points with
position vectors ri,r2,r3
the system of forces reduces to a couple,
then
, rn, respectively. If
A 11
B 1
E(F) = 0, a n d Z(r x F) = 0
£(F) ^ 0,and £(r xf) = 0
£(F) = 0, and £(** xF) ^ 0
S(F) qt 0 and £(r xF) ^ 0
A
C -11
B
D V
CD
17. The center of symmetry of the curve
x
y = , is
( 0 , 1 )
( 1 , 0 )
A
