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Questions on basic integration, including indefinite and definite.

Convert figures for car engine sizes between cc (cm^3), litres, and m^3.

Tension in bracket-truss.

Tension in a simple triangular truss.

Tension in simple triangular truss.

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Calculations involving elementary probability, and several questions designed to draw out misconceptions to do with probability.

Find $\displaystyle \int \frac{2ax + b}{ax ^ 2 + bx + c}\;dx$

Class Test covering

• Basic Probability
• Binomial Distribution
• Normal Distribution
• Confidece Intervals

JPO 126 Class test 7

Denominators with linear factors, repeated factors and non-factorisable quadratics.

Determinant of n x m matrix by Laplace Expansion across top row.

Given descriptions of  3 random variables, decide whether or not each is from a Poisson or Binomial distribution.

en test

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Topics: Trigonometeric equations and complex numbers
Students must complete the exam within 90 mins (standard time).
Questions have variables to produce randomised questions.

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Finding the modulus and argument (in radians) of four complex numbers; the arguments between $-\pi$ and $\pi$ and careful with quadrants!

Direct calculation of low positive and negative powers of complex numbers. Calculations involving a complex conjugate. Powers of $i$. Four parts.

Inverse and division of complex numbers.  Four parts.

Multiplication and addition of complex numbers. Four parts.

Elementary examples of multiplication and addition of complex numbers. Four parts.

Trigonometric equations with degrees

Simple trig equations with radians

Convert degrees to radians and radians to degrees.

Definite integation of basic functions.

Differentiate $\displaystyle (ax^m+b)^{n}$.