Consider a function f which has three variables, x1, x2 and x3.
Identify which of the following gives a correct definition of a partial derivative of the function f.
Options
Discussion
No comments yet. Be the first to comment.
Be respectful. No spam.
Correct Answer:
B
Q: 2
Determine which of the following is the Maclaurin expansion (up to the second order term) of: e2x
A)
B)
C)
D)
Options
Discussion
No comments yet. Be the first to comment.
Be respectful. No spam.
Correct Answer:
D
Q: 3
Calculate which of the following is a simplification of (1 + x)2 - x2 + ln(e3x).
Options
Discussion
No comments yet. Be the first to comment.
Be respectful. No spam.
Correct Answer:
C
Q: 4
Consider the function:
Calculate the partial derivative
.
A)
B)
C)
D)
Options
Discussion
No comments yet. Be the first to comment.
Be respectful. No spam.
Correct Answer:
A
Q: 5
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.
Options
Discussion
No comments yet. Be the first to comment.
Be respectful. No spam.
Correct Answer:
D
Q: 6
Identify which of the following involves weak inequality.
A)
B)
C)
D)
Options
Discussion
No comments yet. Be the first to comment.
Be respectful. No spam.
Correct Answer:
B
Q: 7
Determine which of the options is equal to log(3) - 2log(x+1).
A)
B)
C)
D)
Options
Discussion
No comments yet. Be the first to comment.
Be respectful. No spam.
Correct Answer:
D
Q: 8
A boy is asked to estimate the height of his sister. He estimates that she is 1.60 metres tall. He then
measures his sister and finds that her true height is 1.40 metres.
Identify the absolute error of his estimate of her height.
Options
Discussion
No comments yet. Be the first to comment.
Be respectful. No spam.
Correct Answer:
B
Q: 9
Define the standard deviation of a finite data set.
Options
Discussion
No comments yet. Be the first to comment.
Be respectful. No spam.
Correct Answer:
D
Q: 10
Calculate the second order derivative of y with respect to x, where:
y = 3x2 + ex
Options
Discussion
No comments yet. Be the first to comment.
Be respectful. No spam.
Correct Answer:
A
Q: 11
Assuming the position of the first quartile of an appropriately ordered dataset is given by
and the position of the third quartile of an appropriately ordered dataset is given by
Calculate the range and interquartile range of the above dataset.
Options
Discussion
No comments yet. Be the first to comment.
Be respectful. No spam.
Correct Answer:
B
Q: 12
State what the limit of a function with input variable x represents.
Options
Discussion
No comments yet. Be the first to comment.
Be respectful. No spam.
Correct Answer:
B
Q: 13
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)
B)
C)
D)
Options
Discussion
No comments yet. Be the first to comment.
Be respectful. No spam.
Correct Answer:
B
Q: 14
If
Calculate the partial derivative
A)
B)
C)
D)
Options
Discussion
No comments yet. Be the first to comment.
Be respectful. No spam.
Correct Answer:
C
Q: 15
A function f(x) is known for two values:
f(2) = 8 and f(5) = 14.
Using linear interpolation estimate f(3).
A)
B)
C)
D)
B)
C)
D)
Calculate the partial derivative
.
A)
B)
C)
D)
B)
C)
D)
B)
C)
D)
Assuming the position of the first quartile of an appropriately ordered dataset is given by
and the position of the third quartile of an appropriately ordered dataset is given by
Calculate the range and interquartile range of the above dataset.
B)
C)
D)
Calculate the partial derivative
A)
B)
C)
D)
B)
C)
D)
