This uses an embedded Geogebra graph of a sine curve $y=a\sin (bx+c)+d$  with random coefficients set by NUMBAS.

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This uses an embedded Geogebra graph of a sine curve $y=a\sin (bx+c)+d$  with random coefficients set by NUMBAS.

Recovering original function given some information such as derivative and value at some point.

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

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

Given a data sheet with distances between cities and costs for different forms of transport, and some information about modes of transport used, fill in a form for a journey.

Bulk Deformation Question Based on Materials Lab Session

A collection of information and activities to introduce students to Numbas. There is some information on how Numbas works, information on how to write answers to mathematical expression and number entry parts, and a "test yourself" explore mode activity.

Note: This exam was written for students accessing Numbas exams through the Numbas LTI tool. Some of the information does not apply to exams accessed standalone or through a generic SCORM player.

sin vertically shifted Working 1_11_16

Using the given information to complete the equation $y= A \cos{ \left( \frac{2 \pi}{P} x  \right) }+V $ that describes an electromagnetic wave and calculating the smallest angle, $x$, for which $y=y_0$.

Used for LANTITE preparation (Australia). NA = Number & Algebra strand. Students are shown an infographic, and need to calculate a percentage from the information supplied. There are 7 different versions of this question.

Find $\displaystyle \int \frac{2ax + b}{ax ^ 2 + bx + c}\;dx$

Finding the transformation of a function with a modulus, from $f(x)=nx-m|x|$ to $af(x)$.

Finding the transformation of an exponential function $f(x)=e^{nx}$ to $af(x)$.

Finding the transformation of a function $f(x)=\frac{nx^2}{x+c}$ to $af(x)$.

Finding the transformation of a quadratic function $f(x)=ax^2+bx+c$ to $nf(x)$.

Finding the transformation of a linear function $f(x)=mx+c$ to $af(x)$.

Finding the transformation of a function with a modulus, from $f(x)=nx-m|x|$ to $f(x)+a$.

Finding the transformation of an exponential function $f(x)=e^{nx}$ to $f(x)+a$.

Finding the transformation of a function $f(x)=\frac{nx^2}{x+c}$ to $f(x)+a$.

Finding the transformation of a quadratic function $f(x)=ax^2+bx+c$ to $f(x)+n$.

Finding the transformation of a linear function $f(x)=mx+c$ to $f(x)+a$.

Finding the transformation of a function with a modulus, from $f(x)=nx-m|x|$ to $f(ax)$.

Finding the transformation of an exponential function $f(x)=e^{nx}$ to $f(ax)$.

Finding the transformation of a function $f(x)=\frac{nx^2}{x+c}$ to $f(ax)$.

Finding the transformation of a quadratic function $f(x)=ax^2+bx+c$ to $f(nx)$.

Finding the transformation of a linear function $f(x)=mx+c$ to $f(ax)$.

Finding the transformation of a function with a modulus, from $f(x)=nx-m|x|$ to $f(x+a)$.

Finding the transformation of an exponential function $f(x)=e^{nx}$ to $f(x+a)$.