Hard Topics - Hyperbolic Functions Test

Time Limit: 30 minutes

Number of questions: 5

Test topics:

Inverse hyperbolic functions
Solving hyperbolic equations using identities

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Hard Topics - Differentiation Test

Time Limit: 30 minutes

Number of questions: 5

Test topics:

Differentiating relations given parametrically
Maclaurin series of hyperbolic functions
Finding further derivatives

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Hard Topics - Matrices Test

Time Limit: 30 minutes

Number of questions: 5

Test topics:

Applications of the Caley-Hamilton theorem
Further eigenvectors of a 3 x 3 matrix

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Hard Topics - Integration Test 1

Time Limit: 30 minutes

Number of questions: 5

Test topics:

Integration using trigonometric identities
Integrating inverse hyperbolic functions
Further reduction formulae

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Hard Topics - Integration Test 2

Time Limit: 30 minutes

Number of questions: 5

Test topics:

Arc length of a curve
Surface area of a solid of revolution
Mixed problems involving solids of revolutions

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Hard Topics - Complex Numbers Test

Time Limit: 30 minutes

Number of questions: 5

Test topics:

Finding multiple angles using De Moivre's theorem
Solving equations using De Moivre's theorem
Proving results using De Moivre's theorem

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Normal Topics - Differential Equations

Time Limit: 30 minutes

Number of questions: 5

Test topics:

Further particular integrals of differential equations
Particular integrals with repeated roots
Transforming differential equations

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