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C.A.P.E - PURE MATHEMATICS II EXAM SOLUTIONS
CAPE 2022
CAPE Unit 2 2022 - Question 1a (12:16)
CAPE Unit 2 2022 - Question 1b (2:42)
CAPE Unit 2 2022 - Question 1c (4:21)
CAPE Unit 2 2022 - Question 1d (4:45)
CAPE Unit 2 2022 - Question 2a (29:36)
CAPE Unit 2 2022 - Question 2b (11:49)
CAPE Unit 2 2022 - Question 3a (13:40)
CAPE Unit 2 2022 - Question 3b (9:52)
CAPE Unit 2 2022 - Question 3c (8:02)
CAPE Unit 2 2022 - Question 4a (6:12)
CAPE Unit 2 2022 - Question 4b (26:38)
CAPE Unit 2 2022 - Question 5a (11:25)
CAPE Unit 2 2022 - Question 5b (9:32)
CAPE Unit 2 2022 - Question 5c (4:38)
CAPE Unit 2 2022 - Question 6a (2:14)
CAPE Unit 2 2022 - Question 6b (3:06)
CAPE Unit 2 2022 - Question 6c (9:03)
CAPE 2021
Question 1a (13:36)
Question 1b (2:18)
Question 1c (7:49)
Question 1d (4:58)
Question 2a (13:17)
Question 2b (16:35)
Question 2c (6:55)
Question 3a (8:16)
Question 3a 2 (9:15)
Question 3b (12:05)
Question 3c (2:13)
Question 4(a)(b) (4:13)
Question 4c (7:44)
Question 4d (3:43)
Question 5a (3:00)
Question 5b i (6:34)
Question 5b ii (2:42)
Question 5c (9:33)
Question 6a (13:50)
Question 6b (6:12)
CAPE 2019
QUESTION 1a (10:30)
QUESTION 1b (9:39)
QUESTION 1c (5:44)
QUESTION 2a (8:03)
QUESTION 2b (6:46)
QUESTION 3a (1:18)
QUESTION 3b (8:17)
QUESTION 3c (6:18)
QUESTION 3d (3:04)
QUESTION 4a (9:53)
QUESTION 4b (11:51)
QUESTION 4c (5:58)
QUESTION 5a (10:42)
QUESTION 5b (10:52)
QUESTION 5c (2:43)
QUESTION 6a (4:09)
QUESTION 6b (8:07)
CAPE 2018
QUESTION 1 (a)
QUESTION 1 (a) - GUIDED SOLUTION
QUESTION 1 (a)- VIDEO SOLUTION (7:14)
QUESTION 1 (b)
QUESTION 1 (b) - GUIDED SOLUTION
QUESTION 1 (b) - VIDEO SOLUTION (3:27)
QUESTION 1 (c)
QUESTION 1 (c) - GUIDED SOLUTION
QUESTION 1 (c) - VIDEO SOLUTION (6:02)
QUESTION 1 (d)
QUESTION 1 (d) - GUIDED SOLUTION
QUESTION 1 (d) - VIDEO SOLUTION (7:44)
QUESTION 2 (a)
QUESTION 2 (a) - GUIDED SOLUTION
QUESTION 2 (a) - VIDEO SOLUTION (9:11)
QUESTION 2 (b)
QUESTION 2 (b) - GUIDED SOLUTION
QUESTION 2 (b) - VIDEO SOLUTION (9:09)
QUESTION 3 (a)
QUESTION 3 (a) - GUIDED SOLUTION
QUESTION 3 (a) - VIDEO SOLUTION (7:18)
QUESTION 3 (b)
QUESTION 3 (b) - GUIDED SOLUTION
QUESTION 3 (b) - VIDEO SOLUTION (8:43)
QUESTION 3 (c)
QUESTION 3 (c) - GUIDED SOLUTION
QUESTION 3 (c) - VIDEO SOLUTION (3:31)
QUESTION 4 (a)
QUESTION 4 (a) - GUIDED SOLUTION
QUESTION 4 (a) - VIDEO SOLUTION (3:09)
QUESTION 4 (b)
QUESTION 4 (b) - GUIDED SOLUTION
QUESTION 4 (b) - VIDEO SOLUTION (6:37)
QUESTION 4 (c)
QUESTION 4 (c) - GUIDED SOLUTION
QUESTION 4 (c) - VIDEO SOLUTION (13:43)
QUESTION 4 (d)
QUESTION 4 (d) - GUIDED SOLUTION
QUESTION 4 (d) - VIDEO SOLUTION (3:22)
QUESTION 5 (a)
QUESTION 5 (a) - GUIDED SOLUTION
QUESTION 5 (a) - VIDEO SOLUTION (2:31)
QUESTION 5 (b)
QUESTION 5 (b) - GUIDED SOLUTION
QUESTION 5 (b) - VIDEO SOLUTION (1:36)
QUESTION 5 (c)
QUESTION 5 (c) - GUIDED SOLUTION
QUESTION 5 (c) - VIDEO SOLUTION (3:05)
QUESTION 5 (d)
QUESTION 5 (d) - GUIDED SOLUTION
QUESTION 5 (d) - VIDEO SOLUTION (8:41)
QUESTION 6 (a)
QUESTION 6 (a) - GUIDED SOLUTION
QUESTION 6 (a) - VIDEO SOLUTION (6:31)
QUESTION 6 (b)
QUESTION 6 (b) - GUIDED SOLUTION
QUESTION 6 (b) - VIDEO SOLUTION (11:48)
CAPE 2017
CAPE UNIT 2 2017 QUESTION 1a (1:16)
CAPE UNIT 2 2017 QUESTION 1b (6:38)
CAPE UNIT 2 2017 QUESTION 1c (7:19)
CAPE UNIT 2 2017 QUESTION 2a (7:58)
CAPE UNIT 2 2017 QUESTION 2b (2:18)
CAPE UNIT 2 2017 QUESTION 2c (6:28)
CAPE UNIT 2 2017 QUESTION 3a (6:19)
CAPE UNIT 2 2017 QUESTION 3b (12:19)
CAPE UNIT 2 2017 QUESTION 4a (4:25)
CAPE UNIT 2 2017 QUESTION 4b (4:20)
CAPE UNIT 2 2017 QUESTION 4c (5:05)
CAPE UNIT 2 2017 QUESTION 4d (4:42)
CAPE UNIT 2 2017 QUESTION 5a (3:50)
CAPE UNIT 2 2017 QUESTION 5b (4:38)
CAPE UNIT 2 2017 QUESTION 5c (6:39)
CAPE UNIT 2 2017 QUESTION 6a (3:54)
CAPE UNIT 2 2017 QUESTION 6b (10:13)
CAPE 2016
CAPE UNIT 2 2016 QUESTION 1a (4:37)
CAPE UNIT 2 2016 QUESTION 1b (9:09)
CAPE UNIT 2 2016 QUESTION 1c (4:11)
CAPE UNIT 2 2016 QUESTION 2a (2:02)
CAPE UNIT 2 2016 QUESTION 2b (3:34)
CAPE UNIT 2 2016 QUESTION 2c (12:42)
CAPE UNIT 2 2016 QUESTION 3a (2:11)
CAPE UNIT 2 2016 QUESTION 3b (4:58)
CAPE UNIT 2 2016 QUESTION 3c (4:43)
CAPE UNIT 2 2016 QUESTION 4a (8:20)
CAPE UNIT 2 2016 QUESTION 4b (4:24)
CAPE UNIT 2 2016 QUESTION 4c (3:11)
CAPE UNIT 2 2016 QUESTION 5a (3:08)
CAPE UNIT 2 2016 QUESTION 5b (1:52)
CAPE UNIT 2 2016 QUESTION 5c (6:43)
CAPE UNIT 2 2016 QUESTION 6a (4:11)
CAPE UNIT 2 2016 QUESTION 6b (2:06)
CAPE UNIT 2 2016 QUESTION 6c (6:48)
CAPE 2015
CAPE UNIT 2 2016 QUESTION 1a (8:17)
CAPE UNIT 2 2015 QUESTION 1b (4:23)
CAPE UNIT 2 2015 QUESTION 1c (7:59)
CAPE UNIT 2 2015 QUESTION 2a (6:32)
CAPE UNIT 2 2015 QUESTION 2b (10:37)
CAPE UNIT 2 2015 QUESTION 2c (7:43)
CAPE UNIT 2 2015 QUESTION 3a (10:10)
CAPE UNIT 2 2015 QUESTION 3b (4:05)
CAPE UNIT 2 2015 QUESTION 3c (4:52)
CAPE UNIT 2 2015 QUESTION 4a (6:56)
CAPE UNIT 2 2015 QUESTION 4b (12:14)
CAPE UNIT 2 2015 QUESTION 4c (3:04)
CAPE UNIT 2 2015 QUESTION 5a (3:56)
CAPE UNIT 2 2015 QUESTION 5b (2:47)
CAPE UNIT 2 2015 QUESTION 5c (15:29)
CAPE UNIT 2 2015 QUESTION 6a (5:00)
CAPE UNIT 2 2015 QUESTION 6b (14:13)
CAPE 2014
CAPE UNIT 2 2014 QUESTION 1a (8:55)
CAPE UNIT 2 2014 QUESTION 1b (11:51)
CAPE UNIT 2 2014 QUESTION 2a (8:55)
CAPE UNIT 2 2014 QUESTION 2b (6:46)
CAPE UNIT 2 2014 QUESTION 3a (6:12)
CAPE UNIT 2 2014 QUESTION 3b (5:19)
CAPE UNIT 2 2014 QUESTION 4a (6:26)
CAPE UNIT 2 2014 QUESTION 4b (4:37)
CAPE UNIT 2 2014 QUESTION 5a (5:54)
CAPE UNIT 2 2014 QUESTION 5b (9:36)
CAPE UNIT 2 2014 QUESTION 6a (4:58)
CAPE UNIT 2 2014 QUESTION 6b (13:14)
CAPE 2013
CAPE UNIT 2 2013 QUESTION 1a (2:17)
CAPE UNIT 2 2013 QUESTION 1b (3:50)
CAPE UNIT 2 2013 QUESTION 1c (6:42)
CAPE UNIT 2 2013 QUESTION 1d (4:41)
CAPE UNIT 2 2013 QUESTION 2a (4:56)
CAPE UNIT 2 2013 QUESTION 2b (5:10)
CAPE UNIT 2 2013 QUESTION 2c (12:41)
CAPE UNIT 2 2013 QUESTION 3a (3:19)
CAPE UNIT 2 2013 QUESTION 3b (5:21)
CAPE UNIT 2 2013 QUESTION 3c (6:38)
CAPE UNIT 2 2013 QUESTION 4a (6:22)
CAPE UNIT 2 2013 QUESTION 4b (6:41)
CAPE UNIT 2 2013 QUESTION 4c (6:36)
CAPE UNIT 2 2013 QUESTION 5a (4:51)
CAPE UNIT 2 2013 QUESTION 5b (10:17)
CAPE UNIT 2 2013 QUESTION 5c (5:14)
CAPE UNIT 2 2013 QUESTION 6a (6:06)
CAPE UNIT 2 2013 QUESTION 6b (15:13)
CAPE 2012
CAPE 2012 Question 1a (7:38)
CAPE 2012 Question 1b (5:22)
CAPE 2012 Question 2a (7:09)
CAPE 2012 Question 2b (14:41)
CAPE 2012 Question 3a (4:56)
CAPE 2012 Question 3b (6:29)
CAPE 2012 Question 3c (8:28)
CAPE 2012 Question 4a (12:21)
CAPE 2012 Question 4b (9:21)
CAPE 2012 Question 5a (2:21)
CAPE 2012 Question 5b (5:02)
CAPE 2012 Question 5c (11:06)
CAPE 2012 Question 6a (6:29)
CAPE 2012 Question 6b (8:40)
CAPE 2012 Question 6c (5:13)
QUESTION 1 (a) - GUIDED SOLUTION
Question (a) (i)
At
Question (a) (ii)
using
,
and
when
- intercept is
when
- intercept is
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