,
,
, 2
Do not write
outside the
Answer all questions in the spaces provided. box
tyrionpapers.com
1 Express cosh 2 x in terms of sinh x
Circle your answer.
[1 mark]
1 + sinh 2 x 1 – sinh 2 x sinh 2 x – 1 –1 – sinh 2 x
2 The function f is defined by
f (x) = 2 x + 3 0 ≤ x ≤ 5
The region R is enclosed by y = f (x), x = 5, the x-axis and the y-axis.
The region R is rotated through 2 π radians about the x-axis.
Give an expression for the volume of the solid formed.
Tick () one box.
[1 mark]
5
∫
π (2 x + 3) dx
0
5
∫
π (2 x + 3) 2 dx
0
5
2π
∫ (2x + 3) dx
0
5
∫ (2x + 3) dx
2π 2
0
(02)
G/Jun24/7366/1
,
, 2
Do not write
outside the
Answer all questions in the spaces provided. box
tyrionpapers.com
1 Express cosh 2 x in terms of sinh x
Circle your answer.
[1 mark]
1 + sinh 2 x 1 – sinh 2 x sinh 2 x – 1 –1 – sinh 2 x
2 The function f is defined by
f (x) = 2 x + 3 0 ≤ x ≤ 5
The region R is enclosed by y = f (x), x = 5, the x-axis and the y-axis.
The region R is rotated through 2 π radians about the x-axis.
Give an expression for the volume of the solid formed.
Tick () one box.
[1 mark]
5
∫
π (2 x + 3) dx
0
5
∫
π (2 x + 3) 2 dx
0
5
2π
∫ (2x + 3) dx
0
5
∫ (2x + 3) dx
2π 2
0
(02)
G/Jun24/7366/1
