Grade 11 - More exercises.
Parabola.
1.1.
a = 0
b = 1,8
c = 1
d = 1,2
e = 1,6
f = 28,8
g = 2,6
h = 3
1.2.1.1
1,4 s
1.2.1.2
2,83 s
1.2.2.1
20 m
1.2.2.2
28,8 m
1.3
34 m
; 33,8 m - the answers compare well.
1.4
It has
a parabolic form.
distance
1.5
No.
The rate --------------- does not remain constant
- The graph is not a straight line.
time
2.1.
The stone
that is thrown because it has the greater speed and therefore
it will
moves farther in the same time.
2.2
ff -
it moved the smallest distance in the same time.
2.3
1,2 seconds
for the stone that is thrown; at point B
and 1,4 seconds
for the stone that falls : at point A
2.4
16,2 m for
the stone that falls free, at point C and 19,8 m for the stone that is thrown,
at point D.
2.5
The stone that
is thrown - 2,6 seconds.
distance
2.6
No.
The rate --------------- does not remain constant
- The graph is not a straight line.
time
3.1
a = 0,75
b = 3
c = 2,4
d = 3
e = 9,72
f = 4
3.2
No.
Area is directly proportional
to the
diameter squared.
3.3
The graph
will have a parabolic form
because
area = cons X diameter squared
and cons = constant = pi/4 = 0,785398....
3.4
See the accompanying
graph.
3.5
Yes
3.6.1
12 ; A
3.6.2
1,8 ; B
3.6.3
7,68 ; C
3.6.4
2,4 ; Q
3.6.5
1,69 ; P
3.7
The read
off values compare well to the calculated values.
4.1.1
0,75
4.1.2
0,31
4.1.3
3,2
4.2
Use the formula
4.3
See
the accompanying graph.
4.4.1
0,8
4.4.2
1,6
4.4.3
0,6 and 1,0
4.4.4
0,4
4.4.5
0,1 and 1,5
5.1.1
C(-2 ; -5)
and D(2 ; -5)
5.2.1.1
A(-3 ; 0)
and B(3 ; 0)
5.2.1.2
C(-2 ; -5)
and D(2 ; -5)
5.3.1
AO = 3
5.3.2
OM = 5
5.3.3
AB = 6
5.3.4
PQ = 8,72
5.3.5
MN = 15
5.3.6
NQ = 4,36
5.4
y = 10
6.1
(-2 ; 0)
and (2 ; 0)
6.2
x = -2
and x = 2
6.3
x = -2
and x = 2
6.4.1
x = -2
and x = 2
6.4.2
x < -2
or x > 2
6.4.3
x = -2
and x = 2
6.5
-2 < x < 2
6.6.1
x = -2
and x = 2
6.6.2
-2 < x < 2
6.6.3
x < -2
or x > 2
7.1
A(0 ; 2)
B(-2 ; 6) C(4 ; 18)
7.2
BS = 2
PT = 3 PQ = 6
7.3
PTS
y = 11
7.4
V(0 ; 18)
T(0 ; 11) S(0 ; 6)
7.5
AS = 4
TS = 5 VA = 16
7.6
PS = 5,831
QA = 9,487
7.7
no
solution because the graph does not intersect the x-axis, i.e. y can not be equal to 0.
8.1
A(-5 ; 0)
B(5 ; 0) C(0 ; 25)
8.2
L(0 ; 8,19)
LD = 4,1
8.3
G(2,828 ; 17)
MG = 2,828
8.4
E(-6,5 ; -17,25)
F(6,5 ; -17,25) LD = 4,1
8.5
CO = 25
ML = 8,81 CN = 42,25 MN = 34,25
8.6
AN = 17,960
LG = 9,253
8.7
x = -5
en x = 5
8.8.1
x = -5
en x = 5
8.8.2
x = -6,5 en x = 6,5
8.8.3
x = -6,5 en x = 6,5
8.9.1
-5 < x < 5
8.9.2
-6,5 < x < 6,5
8.9.3
x < -4,1
of x > 4,1