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UCB - MCD4490 Advanced Mathematics - Trimester 1 - 2025

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The region

enclosed by the graph of the function

 the y-axis, and the line  is rotated about the y-axis to form a solid of revolution.

The volume

generated in cubic units is

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The acceleration of a

particle is given by

.

Initially the particle has a velocity of

. How long does the particle take to slow to ?

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A particle is travelling in a straight line. Its acceleration is given by . The time taken, in seconds, for the velocity to decrease from  to  is given by: 

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Using a suitable substitution,  can be expressed as

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Evaluate 

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