1) A graph that shows y increasing by 1 if x doubles.
2) The function g(2+h) = 9 * (3^h), which contains exponential functions.
6) The equation 8e^t = 15, where taking the natural log of both sides gives the solution t = Ln(15/8).
1. Answers only!
Assume that
The graph shown here
could be a graph of:
Solution
1) IF X DOUBLES THEN 'Y' INCREASES BY 1
2) g(2+h) = 3^(2+h) = 9 * (3^(h))
CANNOT ANSWER THE 3rd and 4th parts as THE PICTURE IS NOT VISIBLE
5) L = r * (theta)
2 = 5 * (theta)
(2/5) = theta
so (x,y) = (5* cos(2/5) , 5 * sin(2/5))
6) 8e^(t) = 15
e^(t) = 15/8
2. t = Ln(15/8) ===============> ANS
7) ALL THE 3 STATEMENTS I , II , III ARE TRUE
8) [ 0 , 1 ]
9) x = 2 and x = -2
10) ( G(m+5) - G(5)) / m
12) ln(t+2) = x
t = e^(x) - 2
THEREFORE f^(-1) t = e^(t) - 2