# Mock 2017

• Created by: nicktovey
• Created on: 26-02-17 20:39
Intergrate (2x - 1/x)^2 .dx
4x - 4lnx - x^(-1) + K
1 of 5
Give the general formula for Exponential growth/decay
y(t) = a × e^(kt). [Where, a = value at the start, k = rate of growth/decay, t= time]
2 of 5
Show that the lines y= e^(2x) and y= 8e^(-x) intersect at the point where x= ln2
e^(2x) = 8e^(-x), ln(e^(2x)) = ln(8e^(-x)), ln(e^(2x))= ln(8) + ln(e^(-x)), ln(e^(2x))= ln(2^(3)) + ln([e^(x)]^(-1), 2x= 3ln2 - x, x= ln2
3 of 5
Give the general formula for the differentiation of y= ln(f(x))
dy/dx = f '(x) / f(x)
4 of 5
Draw graph of sin^(-1) and cosec(x) [cos and tan equivalents]
Correct graphs drawn (see pages 90 and 107 in textbook for details)
5 of 5

## Other cards in this set

### Card 2

#### Front

Give the general formula for Exponential growth/decay

#### Back

y(t) = a × e^(kt). [Where, a = value at the start, k = rate of growth/decay, t= time]

### Card 3

#### Front

Show that the lines y= e^(2x) and y= 8e^(-x) intersect at the point where x= ln2

#### Back ### Card 4

#### Front

Give the general formula for the differentiation of y= ln(f(x))

#### Back ### Card 5

#### Front

Draw graph of sin^(-1) and cosec(x) [cos and tan equivalents]

#### Back 