2The volume of the container, V cm3, is given by = (8ℎ2 − 1 ℎ3) where h 3

cm is the height of the container.

(a)The container is heated up and its height increases from 4 cm to 4.1 cm. By using differentiation, find the approximate change in the volume of the

container. [3 marks]

(b)(i) Find the height of the container when the volume is maximum. [2 marks]

(ii) Hence, calculate the maximum volume of the container. Give your answer

in terms if . [2 marks]

Bruce is getting materials for a chemistry experiment his teacher gives him a container that has 0.25 liter of liquid in it. bruce need to use 0.4 of this liquid for the experiment. how much liquid will bruce use?

Need now max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a) the median of max’s data is 250 b) more than half of the data points max recorded were 177 centimeters. c) a data point chosen at random is as likely to be above the mean as it is to be below the mean. d) every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.

Identify the expression equivalent to 4(x + x + 7) − 2x + 8 − 4 by substituting x = 1 and x = 2.