4 Select the correct answer. Which of the following integrals can be used to find the length of the curve described by the function y _ dy? , where 0 s x $ 2? O A. J V1+ ( 14x ' Jax D OB. 1 1 +(14X 2 ) Ox OC. 1 1 +(14x 2 | dx OD.9 Select the correct answer. The dye dilution method is used to estimate cardiac output using 15 mg of dye. The dye concentration is modeled by the function of = 64(5 - q). The dye concentration is expressed in mg/L and tis measured in seconds. Estimate the cardiac output for the time interval [0, 3]. O A. 0.436 L/sec. O B. 0.185 L/sec. O C. 0.134 L/sec. O D. 0.252 L/sec.10 Select the correct answer. Consider an aquarium of width 2 ft, length 4 ft, and height 2 ft. Find the force on the longer side of the aquarium? O A. 1000 lb OB. 1125 1b OC. 335 lb O D. 500 lb13 Select the correct answer. Ron is studying the income of people in a particular state. He finds out that the Lorenz curve for that state can be given as ( (0) = 3 . Find the gini coefficient. O A. 0.364 O B. 0.355 O C. 0.256 OD. 0.14315 Select the correct answer. Jonathan is studying the income of people in state A. He finds out that the Lorenz curve for state A can be given as 1 (0) = 4 . Find the gini coefficient. O A. 0.2727 OB. 0.2881 OC. 0.3183 O D. 0.390018 Select the correct answer. A geologist finds out that a radioactive substance A that he found in the caves of Africa decays at a rate of 0.03 percent every year. What is the probability that an atom of this substance chosen at random will decay in the next 70 years? O A. 0.0208 O B. 0.0265 O C. 0.0421 O D. 0.046520 Select the correct answer. For what constant k is ((x) = ke *1a probability density function on [0,1]? O A. 0.632 O B. 1.5819 OC. 1.9312 OD. 2.2241