2014 A-level H1 Mathematics (8864) Question 3 Suggested Solutions

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

(i)

Graph for 3(i)

(ii)
\frac{dy}{dx}= -e^{1-2x}(-2) = 2 e^{1-2x}

Sub (1, 1- \frac{1}{e}), ~ \frac{dy}{dx} = \frac{2}{e}

Tangent: y - (1-\frac{1}{e}) = \frac{2}{e}(x-1)

\therefore,  y = \frac{2}{e}x - \frac{3}{e} +1

KS Comments

Students should be able to get the graph out comfortably using the GC. They need to learn to find the asymptote though.

Comments
    pingbacks / trackbacks

    Leave a Comment

    ten + seventeen =

    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

    Start typing and press Enter to search