It can be shown that
Use this result to evaluate
Calculus, EXT2 C1 2003 HSC 1d
- Find the real numbers
and such that
(2 marks)
--- 6 WORK AREA LINES (style=lined) ---
- Hence find
(2 marks)
--- 2 WORK AREA LINES (style=lined) ---
Calculus, EXT2 C1 2005 HSC 1b
- Find real numbers
and such that
(2 marks)
--- 6 WORK AREA LINES (style=lined) ---
- Hence find
(1 mark)
--- 2 WORK AREA LINES (style=lined) ---
Calculus, EXT2 C1 2018 HSC 11c
By writing
find
--- 8 WORK AREA LINES (style=lined) ---
Calculus, EXT2 C1 2017 HSC 14a
It is given that
- Find
and so that . (1 mark)
--- 5 WORK AREA LINES (style=lined) ---
- Hence, or otherwise, show that for any real number
. (2 marks)
--- 8 WORK AREA LINES (style=lined) ---
- Find the limiting value as
of
. (1 mark)
--- 3 WORK AREA LINES (style=lined) ---
Calculus, EXT2 C1 2007 HSC 1e
It can be shown that
Use this result to evaluate
Calculus, EXT2 C1 2006 HSC 1c
- Given that
can be written as
,
whereand are real numbers, find (3 marks)
--- 6 WORK AREA LINES (style=lined) ---
- Hence find
(2 marks)
--- 4 WORK AREA LINES (style=lined) ---
Calculus, EXT2 C1 2011 HSC 1c
- Find real numbers
and such that
(2 marks)
--- 5 WORK AREA LINES (style=lined) ---
- Hence, find
(2 marks)
--- 3 WORK AREA LINES (style=lined) ---