Match the equivalence with the rule

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!

Students are supposed to use Excel (or similar) to find the answers (e.g., enter coordinates of two points then plot and add trendline).

Uses an embedded Geogebra graph of a line $y=mx+c$ with random coefficients set by NUMBAS.

Differentiation question with customised feedback to catch some common errors.

Parametric differentiation question with customised feedback to catch some common errors.

Implicit differentiation question with customised feedback to catch some common errors.

Logarithmic differentiation question with customised feedback to catch some common errors.

Product rule differentiation question with customised feedback to catch some common errors.

Parametric differentiation question with customised feedback to catch some common errors.

Logarithmic differentiation question with customised feedback to catch some common errors.

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 $X$.

A demo of the match choices with answers part and its options.

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.

Euler-Bernoulli simply supported beam bending example with point force and moment.

The student is asked to write a matrix with a certain property, or tick a box labelled "this is impossible" if it can't be done.

A custom marking algorithm on the gap-fill part first checks if the student ticked the box. If they did, their answer is marked correct if it really is impossible. If they didn't tick it, their matrix is checked against the required property.

Find a matrix whose associated linear map maps the unit square to the shown parallelogram. Match figures "of linear maps" with matrices.

Straightforward solving linear equations question.

Adapted from 'Simultaneous equations by elimination 1 with parts' by Joshua Boddy.

Guided induction proof of a divisibility statement (with moderate randomization).

Straightforward solving linear equations question

Asks to determine whether or not 6 statements are propositions or not i.e. we can determine a truth value or not.

Create a truth table with 3 logic variables to see if two logic expressions are equivalent.

Match the equivalence with the rule

Match the equivalence with the rule

Match the equivalence with the rule

Match the equivalence with the rule

Match the equivalence with the rule

Given a probability mass function $P(X=i)$ with outcomes $i \in \{0,1,2,\ldots 8\}$, find the expectation $E$ and $P(X \gt E)$.

There are copious comments in the definition of the function eqnline about the voodoo needed to have a JSXGraph diagram interact with the input box for a part.

There are copious comments in the definition of the function eqnline about the voodoo needed to have a JSXGraph diagram interact with the input box for a part.

There are copious comments in the definition of the function eqnline about the voodoo needed to have a JSXGraph diagram interact with the input box for a part.