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Separable equation for integration.

First order integral.

First order integral.

Taylor Approximation ofr $\cos(2x)$

Calculating the angle between a vector and the positive $x$-axis.

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power series expansions for sine

Various question on power series 

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.

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

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 $x^2$.

Calculate the time taken for a certain distance to be travelled given the average speed and the distance travelled.

Small, simple question.

It is estimated that 30% of all CIT students cycle to college. If a random sample of eight CIT students is chosen, calculate the probability that...

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Solving first order differentials by separation of variables.

Apply the factor and remainder theorems to manipulate polynomial expressions

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Practice question solving linear homogeneous second order differentials using the auxiliary equation method.

Practice question simplifying fractions for integration by using partial fractions.

Multiple choice question. Given a randomised polynomial select the possibe ways of writing the domain of the function.

First assessment in 2021/22 for Foundation Mathematics, counts 5% towards the module total.

Series Homework 2

question involving caomparison test and absolute convergence

Multiple choice question. Given a randomised polynomial select the possible ways of writing the domain of the function.