Add, subtract, multiply and divide algebraic fractions.

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given equation of locus in form |z-a|=bfind centre and radius. multiple choice question

given random circle on graph with centre in 2nd or 3rd quadrant. find loci in complex form

Given |z-a|=b multiple choice question to describe the locus

Used for LANTITE preparation (Australia). NA = Number & Algebra strand. Students are given the total cost, insurance fee and daily hire charge (all randomly generated). They need to calculate the number of days hired.

Used for LANTITE preparation (Australia). NA = Number & Algebra strand. Students are shown a personal income tax table and given a randomly generated taxable income. They are required to calculate the tax payable.

Used for LANTITE preparation (Australia). NA = Number & Algebra strand. The total amount raised and the number of participants is supplied (and both are randomly generated). Students must calculate the average per participant. 

Used for LANTITE preparation (Australia). NA = Number & Algebra strand. Students need to calculate the proportion of calls for one given emergency, after reading the number of calls, and total number of calls from the supplied infographic. There are 4 different versions of this question.

Used for LANTITE preparation (Australia). MG = Measurement & Geometry strand. Two people walk away from a central flagpole, in different directions. The multiple choice question asks for the angle between them. There are seven potential scenarios.

Used for LANTITE preparation (Australia). MG = Measurement & Geometry strand. The bus timetable is shown, and one multiple choice question asked. There are seven potential questions (scenarios).

Used for LANTITE preparation (Australia). MG = Measurement & Geometry strand. The width and length of each vege bed are given in cm (randomised) as well as the path width in mm (randomised). Students are asked to find the perimeter of the whole vege patch in metres.

Used for LANTITE preparation (Australia). MG = Measurement & Geometry strand. NC = Non Calculator. Students are asked to determine how many 5mL teaspoon measures would fill a container with volume given in litres There are seven different volumes.

Used for LANTITE preparation (Australia). MG = Measurement & Geometry strand. NC = Non Calculator. A diagram of a shape on a 5mm grid is shown, and students are asked the area in square centimetres. There are six different diagrams.

Used for LANTITE preparation (Australia). MG = Measurement & Geometry strand. A nutrition label is shown, and one multiple choice question asked. There are seven potential questions (scenarios).

Used for LANTITE preparation (Australia). MG = Measurement & Geometry strand. A diagram of a granny flat is shown, and one multiple choice question asked. There are six potential questions (scenarios).

Used for LANTITE preparation (Australia). MG = Measurement & Geometry strand. Students must calculate the area of the classroom excluding the storeroom. The length and width of the classroom and the area of the storeroom are randomly generated.

Applications of Derivatives 2

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Just what the title says, I guess.

Just what the title says, I guess.

Just what the title says, I guess.

Just what the title says, I guess. I couldn't find a 0^0 that didn't converge to 1 except things like x^(1/ln(x)) as x->0, but they just need the e^ln() transformation, not L'hopital's rule!

Find the first 3 terms in the Taylor series at $x=c$ for $f(x)=(a+bx)^{1/n}$ i.e. up to and including terms in $x^2$.

Find the first 3 terms in the MacLaurin series for $f(x)=(a+bx)^{1/n}$ i.e. up to and including terms in $x^2$.

Questions on integration using various methods such as parts, substitution, trig identities and partial fractions.

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