Find a regression equation given 12 months data on temperature and sales of a drink. 

Here you will find task for the 1. to 7. grade.

Here you will find task for the 5. to 10. grade.

Here you will find task for the 8. to 13. grade.

Finding the stationary points of a cubic with two turning points

Find a regression equation.

Here you will find exercises from classes 8 to 13.

Finding the stationary points of a cubic with two turning points

Students enter equation and turning point

Find $\displaystyle \int x\sin(cx+d)\;dx,\;\;\int x\cos(cx+d)\;dx $ and hence $\displaystyle \int ax\sin(cx+d)+bx\cos(cx+d)\;dx$

Given a set in predicate form i.e. $A=\{x|P(x)\}$, find and input the elements of the set.

Finding the stationary points of a cubic with two turning points

Multiple solutions of sin(x) = ....   $-360 \leqslant x \leqslant 360$

Applying trigonometry to find heughts and lengths.

Finding the stationary points of a cubic with two turning points

A graphical approach to aiding students in writing down a formal proof of discontinuity of a function at a given point.

Uses JSXgraph to sketch the graphs and involves some interaction/experimentation by students in finding appropriate intervals.

Finding the stationary points of a cubic with two turning points

Modular arithmetic. Find the following numbers modulo the given number $n$. Three examples to do. Courtesy of Newcastle University

Finding the stationary points of a cubic with two turning points

Finding the stationary points of a cubic with two turning points

Finding the stationary points of a cubic with two turning points

Finding the stationary points of a cubic with two turning points

Given the cost priceand profit margin, find the selling price

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A mass is resting on a rough plane. Given the angle of the plane and the mass of the object, find the normal reaction force and hence the coefficient of friction.

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Given a random variable $X$  normally distributed as $\operatorname{N}(m,\sigma^2)$ find probabilities $P(X \gt a),\; a \gt m;\;\;P(X \lt b),\;b \lt m$.

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Given a random variable $X$ normally distributed as $\operatorname{N}(m,\sigma^2)$ find probabilities $P(X \gt a),\; a \gt m;\;\;P(X \lt b),\;b \lt m$.

Find the exVAT price

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Given the cost and profit, find the selling price

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Rotate $y=a(\cos(x)+b)$ by $2\pi$ radians about the $x$-axis between $x=c\pi$ and $x=(c+2)\pi$. Find the volume of revolution.

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Finding areas under graphs using definite integration.

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