2011 A-level H2 Mathematics (9740) Paper 1 Question 5 Suggested Solutions

By KS Teng

All solutions here are SUGGESTED. Mr. Teng will hold no liability for any errors. Comments are entirely personal opinions.

(i)

Graph of 5(i)

Graph of 5(i)

(ii)
0 \le x \le 2

(iii)
\int_{-1}^1 f(|x|) dx = \int_1^a |f(x)| dx

2 \int_0^1 2-x dx = \int_1^2 2-x dx + \int_2^a -(2-x) dx

2[2x - \frac{x^2}{2}]\bigl|_0^1 = [2x - \frac{x^2}{2}]\bigl|_1^2 + [\frac{x^2}{2} - 2x]\bigl|_2^a

3 = \frac{1}{2} + \frac{a^2}{2} - 2a + 2

a = 2 \pm \sqrt{5}

\therefore a = 2 + \sqrt{5} since a > 2

KS Comments:

There are other alternative methods to solving the integration like using the area of trapezoid.

Comments
    pingbacks / trackbacks

    Leave a Comment

    Contact Us

    CONTACT US We would love to hear from you. Contact us, or simply hit our personal page for more contact information

    Not readable? Change text. captcha txt
    0

    Start typing and press Enter to search

    2011 A-level H2 Mathematics (9740) Paper 1 Question 3 Suggested SolutionsJC Mathematics
    2011 A-level H2 Mathematics (9740) Paper 1 Question 8 Suggested SolutionsJC Mathematics