125 results for "series".

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• DC Series Generator
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• DC Series Motor
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Finding the resistive voltage in a simple series RL circuit.

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Finding the inductance in a simple series RL circuit.

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Finding the current in a simple series RL circuit.

• Exam (2 questions)

Find the first few terms of the Maclaurin and Taylor series of given functions.

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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 $x^2$.

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

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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 $x^2$.

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Multiple response question (4 correct out of 8) covering properties of convergent and divergent series and including questions on power series. Selection of questions from a pool.

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Minitab was used to fit an AR(1) model to a stationary time series. Given the output answer the following questions about the model and use the model to make forecasts.

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Minitab was used to fit both an AR(1) model and an AR(2) to a stationary series. A  table is given summarising the results obtained from Minitab. Choose the most appropriate model and make a forecast based on that model.

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Power series solution of $y''+axy'+by=0$ about $x=0$.

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

• Exam (2 questions)

Find the first few terms of the Maclaurin and Taylor series of given functions.

• Question

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 $x^2$.

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Differentiate between linear and quadratic sequences and arithmetic and geometric sequences through a series of multiple choice questions. Spot different patterns in sequences like the triangle sequence, square sequence and cubic sequence and then use this pattern to find the next three terms in each of the sequences.

• Fourier Series Step function.
Needs to be tested
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Calculating particular harmonic components of a Fourier series expansion.

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This question tests to see if students can recognise a geometric series and based on its common ratio determine if it is convergent or divergent.

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Often students need practice re-indexing series, these are three questions that give them that opportunity.