Advanced level 2023 northwest regional mock further mathematics 1
Advanced level 2023 northwest regional mock further mathematics 1
I. / sinh2xdx= is the 8 is eotriplexcuberootofunify (|)e^ie 0f
A. -(sinbiZx 4- 2x)4- C
4
B. -f
^lnhlx — 2x) 4- C
DC.^(cosh2x+ 2x)4- C
^(sinh2x 4- x) 4- C
2. fhe polar equation r = —8cos;e
A. a circle
B. ahyperbola
C. • a parabola
D. an ellipse
3. The values of u for which
6 — u 0 1
-1 -6-u -2 _ A
u
_ 0 are
represents -.
A
* V ft. ?. V – 3
B.I
C.
3
^or*-Ttan 7Jltefbfiwiringis “1 notcorrect—? ____
B. contmu ty.mP|;.es continuity
^
the 0^then^the ^lower __ 2lnn and , for upper all bounds naturalnumbers are
12
5 0
A. -1,-5,-6
B. 1, — 5, 6
C. -1, 5,-6
0. 1, 5, —6 Un
n,n&
respectively
A. 0 and !
B. 1 and 2
C. 0 and ln2
D. 1 and ln2
}. If a particle moves along a straightline OX such that
its displacement x meters from O at time t seconds is
given by the differential equation-—
N cLx”^
its period of motion is
71
d2y
x
— 0, then
A.
14. The type of curve represented by the equation x2+
xy+y2 — 1= 0 is:
32
/r
B.
\/3
A. an ellipse
B.c hyperbola
C. a parabola
D. ^acircle
15> A’sequence is defined recursively as
dl’ ~~ &2 — 1*d’Yl ^71—1 &Ti—2t ^ The,
seventh term is:
A. 8
B. 21
C. 5
16. Given the equation of a hyperbola as h2x2 — a2yl ~
ci2b2
,thentheequationsofthe asymptotesare:
A. y-±-x
„B. y —±J-x
nC. x=±. ry 8
71
C.
2
n. 2n
4 Tiie distance between the planes X+y — z — 3-and
x+y — z=-—6 is
A. is concave downwards
B. is monotone increasing
C. has a turning point
D. is monotone decreasing • ~
-r; A group H has a subgroup {X,y},{x,y, W,U,v} and
[x,w}. The identity element of H is:
Wlt1COnstant angular velocity a)
