Normal Topics - Hyperbolic Functions Test

Time Limit: 15 minutes

Number of questions: 5

Test topics:

Hyperbolic identities
Solving basic hyperbolic equations

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Normal Topics - Differentiation Test

Time Limit: 15 minutes

Number of questions: 5

Test topics:

Derivatives of inverse hyperbolic functions
Finding second derivatives for implicit relations
Maclaurin series for standard functions

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Normal Topics - Matrices Test

Time Limit: 15 minutes

Number of questions: 5

Test topics:

Inverse of a 3 x 3 matrix
Point of intersection of three planes
Types of intersection of three planes

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Normal Topics - Matrices Test 2

Time Limit: 15 minutes

Number of questions: 5

Test topics:

Eigenvalues and eigenvectors of a 3 x 3 matrix
Power of square matrices
Using the Caley-Hamilton theorem

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Normal Topics - Integration Test

Time Limit: 15 minutes

Number of questions: 5

Test topics:

Integrating using inverse hyperbolic functions
Introduction to reduction formulae
Basic reduction formulae

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Normal Topics - Complex Numbers Test

Time Limit: 15 minutes

Number of questions: 5

Test topics:

De Moivre’s theorem
Finding roots of complex numbers
Finding multiple angle identities
Expressions in terms of multiple angles

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Normal Topics - Differential Equations

Time Limit: 15 minutes

Number of questions: 5

Test topics:

First order linear differential equations
Particular solutions of second order differential equations
Differential equations with complex roots
Particular integrals of differential equations

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