Given a randomised log function select the possible ways of writing the domain of the function.

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

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Create a truth table for a logical expression of the form $a \operatorname{op} b$ where $a, \;b$ can be the Boolean variables $p,\;q,\;\neg p,\;\neg q$ and $\operatorname{op}$ one of $\lor,\;\land,\;\to$.

For example $\neg q \to \neg p$.

This is a Mathematics ability assessment for entry into the Bachelor of Engineering and Technology course at Chisholm Institute. The entire platform has bee developed by Numbas. There are 32 math questions and 6 instruction question regarding how to put answer in the answe rbox. Please practice the 'how to put answer' section first before starting to answer math questions.

You can seek help but it will reduce your marks.

Good luck!

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Create a truth table for a logical expression of the form $a \operatorname{op} b$ where $a, \;b$ can be the Boolean variables $p,\;q,\;\neg p,\;\neg q$ and $\operatorname{op}$ one of $\lor,\;\land,\;\to$.

Create a truth table for a logical expression of the form $((a \operatorname{op1} b) \operatorname{op2}(c \operatorname{op3} d))\operatorname{op4}(e \operatorname{op5} f) $ where each of $a, \;b,\;c,\;d,\;e,\;f$ can be one the Boolean variables $p,\;q,\;\neg p,\;\neg q$ and each of $\operatorname{op1},\;\operatorname{op2},\;\operatorname{op3},\;\operatorname{op4},\;\operatorname{op5}$ one of $\lor,\;\land,\;\to$.

For example: $((q \lor \neg p) \to (p \land \neg q)) \to (p \lor q)$

Given a sum of logs, all numbers are integers,

$\log_b(a_1)+\alpha\log_b(a_2)+\beta\log_b(a_3)$ write as $\log_b(a)$ for some fraction $a$.

Also calculate to 3 decimal places $\log_b(a)$. 

Rearrange some expressions involving logarithms by applying the relation $\log_b(a) = c \iff a = b^c$.

Practice using the log rules to add and subtract logarithms

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Create a truth table for a logical expression of the form $((a \operatorname{op1} b) \operatorname{op2}(c \operatorname{op3} d))\operatorname{op4}e $ where each of $a, \;b,\;c,\;d,\;e$ can be one the Boolean variables $p,\;q,\;\neg p,\;\neg q$ and each of $\operatorname{op1},\;\operatorname{op2},\;\operatorname{op3},\;\operatorname{op4}$ one of $\lor,\;\land,\;\to$.

For example: $((q \lor \neg p) \to (p \land \neg q)) \lor \neg q$

Differentiation of  polynomials, cos, sin, exp, log functions. Product, quotient and chain rules.

Missing: Application with bacteria, turning points, difficult chain rule

This question is to test if you know how to use your calculator correctly.

Differentiating the natural logarithm

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This is a Numbas test for parametric hypothesis tests with psychology content. To be used in the mathematics wiki page.

This exam covers some of the techniques seen in the Psychology page on the wiki.

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This exam uses a custom theme which provides a new logo image.

Shows how to enter a logarithm to an arbitrary base, in a mathematical expression part.

Rearrange some expressions involving logarithms by applying the relation $\log_b(a) = c \iff a = b^c$.

Find an interior angle and length of a diagonal of a random parallelogram.