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UCB - MCD4490 Advanced Mathematics - Trimester 1 - 2025

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The graph of has

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If  and  then  is equal to:

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The following is a graph of

a function. In what domain is the function continuous?

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An ice block has the shape of a cube and has its volume decreasing at a rate of 2 cm3/min. The rate at which each of the sides are decreasing in cm/min, when the sides are 2 cm, is equal to:

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A particle travels in a straight line has a velocity given by  for , the acceleration of the particle is given by

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The equation of the normal to the curve y = cos (x/2) at the point x = π/3 is equal to:

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Using implicit differentiation, the derivative of is

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The derivative of equals

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Using differentiation by first principles to differentiate  the limit simplifies to

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