Simplify (qx+a)/(rx+b) +/- (sx+c)/(rx+b)^2

x is a randomised variable. a,b,c,d,q,r are randomised integers.

Simplify (qx+a)/(rx+b) +/- (sx+c)/(tx+d)

x is a randomised variable. a,b,c,d,q,r,s,t are randomised integers. a,b,c,d run from -5 to 5, including 0. q,r,s,t run from -3 to 3, and can be 0 if the constant term is nonzero, but are mostly 1.

Simplify ax/b +/- cx/d, where x is a randomised variable, and a,b,c,d are randomised integers.

Add two algebraic fractions. Part of HELM Book 1.4.3.

6 Exercises from HELM Book 1.4 Part 2: Multiplication and Division of Algebraic Fractions.

Part of HELM Book 1.4.2

Shows how to switch to the 3D graphics view of a geogebra applet using an extension function.

Examples of the following custom part types: Yes/no, List of numbers, Give a numerical input for an expression, Number entry modulo.

This question shows a JSXGraph diagram above a mathematical expression input, containing a plot of the expression the student enters.

Directional derivative of a scalar field.

Basic fraction arithmetic, giving answers in lowest form.

Round random numbers to the closest whole number, 1, 2 or 3 decimals places.

Uke 7

Two known forces, and a third with known magnitude act on a rigid body.  Apply $\Sigma M = 0$ about a pin restraint to determine the direction of the third force.  The problem has two valid answers.

This demonstrates how to set xmin, ymin, xmax and ymax for an embedded geogebra diagram.

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Given three vectors, arrange them in a tip to tail arrangement using geogebra, then estimate the magnitude and direction of their resultant.

Add three vectors by determining their scalar components, summing them and then resolving the rectangular components to find the magnitude and direction of the resultant

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Two dimensional particle equilibrium problem.  Advice shows how to use how to use slope triangles to find sines and cosines, rather than finding the angle and using that.

Find multiple solutions of sin

Working 26_10_16

Find multiple solutions of cos

Working 26_10_16

Given the original formula the student enters the transformed formula

Working 26_10_16

Given the original formula the student enters the transformed formula

Turning points of a cubic function

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Obligatoriske oppgaver for uke 3

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