Calculate matrix times vector.

Find the determinant of a $3 \times 3$ matrix.

A demonstration of the exam-level variable override feature. The student is shown the same question several times, but each instance is set up to suggest a different error in the process of computing the median of a sample. The first instance is very easy, and the last is pretty hard.

Linear combinations of $2 \times 2$ matrices. Three examples.

Multiplication of $2 \times 2$ matrices.

Find the determinant and inverse of three $2 \times 2$ invertible matrices.

Find the inverse of three $2 \times 2$ invertible matrices.

memory or shortcut skill

memory or shortcut skill

memory or shortcut skill

MECE3930U: Heat Transfer Assignment 5

Please follow the Numbas guidance first if you did not attend the Numbas session.

This assignment is only to allow a maximum of 5 attempts.

Time to complete: unlimited

All answers should be provided without the units, but attention must be paid to the unit instructions in each question. For example, if your answer is 100.3 W/m2K, type 100.3 only.

Important Note: You have to submit your assignment to receive a mark!

MECE3930U: Heat Transfer Assignment 4

Please follow the Numbas guidance first if you did not attend the Numbas session.

This assignment is only to allow a maximum of 5 attempts.

Time to complete: unlimited

All answers should be provided without the units, but attention must be paid to the unit instructions in each question. For example, if your answer is 100.3 W/m2K, type 100.3 only.

Important Note: You have to submit your assignment to receive a mark!

A weighted coin with given $P(H),\;P(T)$ is tossed 3 times. Let $X$ be the random variable which denotes the longest string of consecutive heads that occur during these tosses. Find the Probability Mass Function (PMF), expectation and variance of $X$.

Used for LANTITE preparation (Australia). NC = Non Calculator strand. NA = Number & Algebra strand. Students are given the total hours of work (randomised) and overtime (randomised) and asked to write an expression for the amount of pay earned.

MECE3930U: Heat Transfer Assignment 3

Please follow the Numbas guidance first if you did not attend the Numbas session.

Number of attempts = 5

Time to complete: unlimited

All answers should be provided without the units, but attention must be paid to the unit instructions in each question. For example, if your answer is 100.3 W/m2K, type 100.3 only.

All answers must be rounded to one digit, unless otherwise stated. For example, if your answer is 100.27, type 100.3.

A graph is drawn. A student is to identify the derivative of this graph from four other graphs. There are four such questions.

Multiplication of $2 \times 2$ matrices.

Find the determinant and inverse of three $2 \times 2$ invertible matrices.

Linear combinations of $2 \times 2$ matrices. Three examples.

Find the determinant and inverse of three $2 \times 2$ invertible matrices.

Multiplication of $2 \times 2$ matrices.

Linear combinations of $2 \times 2$ matrices. Three examples.

Customised for the Numbas demo exam

Motion under gravity. Object is projected vertically with initial velocity $V\;m/s$. Find time to maximum height and the maximum height. Now includes an interactive plot.

Customised for the Numbas demo exam

Motion under gravity. Object is projected vertically with initial velocity $V\;m/s$. Find time to maximum height and the maximum height. Now includes an interactive plot.

Customised for the Numbas demo exam

Motion under gravity. Object is projected vertically with initial velocity $V\;m/s$. Find time to maximum height and the maximum height. Now includes an interactive plot.

Customised for the Numbas demo exam

Motion under gravity. Object is projected vertically with initial velocity $V\;m/s$. Find time to maximum height and the maximum height. Now includes an interactive plot.

Customised for the Numbas demo exam

Motion under gravity. Object is projected vertically with initial velocity $V\;m/s$. Find time to maximum height and the maximum height. Now includes an interactive plot.

Given the original price of a smartphone and the rate at which it decreases, calculate its price after a given number of months. In the second part, calculate the time remaining until the price goes below a certain point.