In an oxygenation experiment, the oxygen concentration was determined in intervals of 120 seconds stated in the table below: Time (t) seconds C (g/m³) (Cs C)/(Cs- Co) log (Cs-C)/ (Cs - Co) 0 3.8 120 5.2 240 6.3 360 7.2 480 7.9 600 8.4 720 8.8 840 9.2 960 9.5 Assuming that the saturation concentration of oxygen under the laboratory conditions is C₂ = 10.5g/m³ i) Plot a graph of In[(Cs - C)/ (Cs - Co)] Vs time. ii) Estimate the value of K₂ from the graph. iii) Comment on the validity of your estimate.

Use the table of values you made in part 4 of the example to find the limiting value of the average rate of change in velocity.

In 1906, San Francisco experienced an intense earthquake with a magnitude of 7.8 on the Richter scale. In 1989, the Loma Prieta earthquake also affected the San Francisco area, and measured 6.9 on the Richter scale. Compare the intensities of the two earthquakes.

The population of a culture of bacteria is modeled by the logistic equation P(t)=14,2501+29e0.62t where t is in

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A group of researchers studied the effect of acid rain on wildlife and collected n = 12 samples from streams in different States. They recorded the pH (X) of the water (i.e. units above pH 7), and the BCI, a measure of biological diversity (Y). The data obtained is summarized below. DATA: Observation 1 2 3 4 5 6 7 8 9 10 11 12 pH above 7 (X) 0.67 0.70 0.93 0.95 1.09 1.01 1.29 1.24 1.41 1.56 1.73 1.80 Units of BCI (Y) 14.4 20.9 16.2 25.0 18.9 19.8 20.7 22.1 23.9 24.9 27.6 29.7 Find the correlation coefficient between pH and BCI (round to the nearest hundredth; place your answer in the box below)

The lifetime (in days) of a certain electronic component that operates in a high-temperature environment is lognormally distributed with μ = 1.9 and σ = 0.4.   Find the 90th percentile of the lifetimes. Round the answer to two decimal places.

An original count of a deer population in an Alberta forest determined that 238 deer were present. In a later study, this number increased to 431. Using this data, one could determine the the population. O growth rate of O per capita growth rate of deaths in O births in

A group of researchers studied the effect of acid rain on wildlife and collected n = 12 samples from streams in different States. They recorded the pH (X) of the water (i.e. units above pH 7), and the BCI, a measure of biological diversity (Y). The data obtained is summarized below. DATA: Observation 1 2 3 4 5 6 7 8 9 10 11 12 pH above 7 (X) 0.65 0.75 0.89 0.94 1.12 1.16 1.29 1.35 1.48 1.56 1.73 1.80 Units of BCI (Y) 16.0 18.9 15.6 21.1 23.6 24.9 26.1 29.2 19.3 30.7 33.7 29.4 Find the coefficient of determination between pH and BCI (round to the nearest hundredth; place your answer in the box below)

Time (secs) 0 30 60 90 120 150 180 Speed (mi/secs) 0.00 0.03 0.08 0.16 0.27 0.42 0.65 9. The table above gives the speeds, in miles per second, at various times for a test rocket that was fired upward from the surface of Earth. Use the values in the table to give a lower and upper estimate of the number of miles traveled during the first 180 seconds.