Determine and describe the extreme values of f(x,y) = -x2 - xy - 3y2
Answer : C
Determine which of the following statements are not true.
Answer : D
Determine the coefficient of x3 in the binomial expansion of (2 + x)5.
Answer : B
Calculate the sum of the following non-terminating progression:
2/10, 2/40, 2/160, 2/640,...
Answer : C
Identify the condition that fully describes the existence of independence between two events A and B.
Answer : C
Solve the following equation for x:
12x +10 = 3x - 8
Answer : B
For -3.14 x +3.14, the graph of the function, sin x, is show below.
Answer : A
A cat rescue centre keeps a record of how many kittens are born in each litter over a year.
The bar chart summarises the figures.
Consider the mean, mode and median of the number of kittens per litter.
Determine which one of the statements is true.
Answer : C
Consider the function f(x) = x2-6x+20. This function has a stationary point at x = 3.
Determine the nature of this stationary point and how do we know this to be true.
Answer : A
An individual purchases a share in a company at a price of 45. Six months later he sells the share for 39.
Calculate the percentage change in the value of the share over the six month period, correct to one decimal place.
Answer : B
Calculate the indefinite integral:
Answer : B
The variable s can take values between 2 and 6.
Identify which of the inequalities shown can be satisfied by at least one value of s.
Answer : D
1/5 of actuarial students like skiing.
2/5of actuarial students like snowboarding.
1/3 of actuarial students like skiing and snowboarding.
Calculate the proportion of actuarial students that like skiing or snowboarding.
A)
Answer : B
The particular solution of the second-order difference equation yn+2 - 6yn+1 + 8yn = 0 n 2 subject to the initial conditions y0 = 3 and y1 = 2 may be written in the form yn = A(2n) + B(4n) n 0.
Determine the values of (A, B).
Answer : D