Differentiate $\displaystyle \ln((ax+b)^{m})$

Differentiate $\displaystyle e^{ax^{m} +bx^2+c}$

Differentiate $\displaystyle (ax^m+b)^{n}$.

Finding the coordinates and determining the nature of the stationary points on a polynomial function

A graph (of a cubic) is given. The question is to determine the number of roots and number of stationary points the graph has. Non-calculator. Advice is given.

Calculating gradients - polynomials

Differentiating exponentials and Logs

More work on differentiation with trigonometric functions

Simple derivatives

Rate of change problem involving velocity & acceleration

$x$ is given and (sin(x),cos(x)) is plotted on a unit circle.  Then the student is asked to determine sin(y) and cos(y), where y is closely related to x (e.g. y=-x, y=180+x, etc.) Also find values and sign of cos/tan/sin(x).

Solve a logarithmic equation

Finding the coordinates and determining the nature of the stationary points on a polynomial function

Cartesian form of a complex number.

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SIT190 - Module 1 - Quiz

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rebelmaths

A set of MCQ designed to help Level 2 Engineering students prepare/practice for the on-line GOLA test that is used to assess the C&G 2850, Level 2 Engineering, Unit 202: Engineering Principles.

Find the eigenfunctions of an irregular Sturm–Liouville problem and hence solve an inhomogeneous boundary value problem by writing the solution as an eigenfunction expansion.

Topics:
Algebra, Calculus, Trigonometeric Equations, Complex numbers & Partial Derivatives

Students must complete the exam within 2hrs 30mins (extra time (1)).

Questions have variables to produce randomised questions.

Questions on powers, the laws of indices, and exponential growth.

This question aims to test understanding and ability to use the laws of indices.

Given a number evaluate simple power, negative power, to one half.

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Modulus and argument of a single complex number $z=z_1/z_2$, where $\mathrm{Re}(z_1)=\mathrm{Im}(z_1)$ and $\mathrm{Re}(z_2)=-\mathrm{Im}(z_2)$.