TOPIC 1 (SL)
The lengths of the four sides of a quadrilateral are 5.278 cm, 4.812 cm, 4.118 cm and 3.756 cm respectively. The lengths of all four sides are estimated by rounding off, correct to 1 decimal place.
Write down the upper bound and the lower bound of the error interval of the estimate of the longest side.
upper bound = 5.35. cm
lower bound = 5.25 cm
write 3 + 2log5 - 2log2
log6250
A function is defined on the domain x>_ 7 by the equation f(x) = 3x-1.
(a) Find the range of f.
(b) Find f-1 (35)
(a) f(x) >_20
(b) 12
Let f(x) = 2x+3 and g(x) = x3
(a) Find fg(x)
(b) Solve the equation fg(x) = 0
(a) 2x3+3
(b) -1.14
A geometric sequence has first term 15 and common ratio 1.2. One term of the sequence equals 231, correct to the nearest integer. Which term is it?
16
M = 7 2
2 4
Find the eigenvalues of M.
𝜆=7 or−2
(a) Given that 2m = 8 and 2n = 16, write down the value of m and of n.
(b) Hence or otherwise solve 82x+1 = 162x-3
(a) n = 4
(b) x = 7.5
Solve z + |z| = 18 + 12i
x = 5
y = 12
z = 5 + 12i