66 Select the correct answer. 3 Approximate the integral | (sing *)@x using Trapezoidal rule, where n = 4. OA. 1.921 OB. 1.931 OC. 1.827 OD. 1.88467 Select the correct answer. 2 Which statement best describes why cix will converge or diverge? 1 (3x + 2) O A. It will converge because the corresponding limit does not exist. O B. It will diverge, because the corresponding limit does not exist. O C. It will converge, because the corresponding limit exists. O D. It will diverge because the corresponding limit exists.68 Select the correct answer. Which integral will converge? O A. dix O B. X Ox DL OC. OD. OX JX -369 Select the correct answer. A young kid watches a squirrel walk continuously along a branch ofa tree for 1 minute. The shape of the branch can be given by the 2 function {(3') =% . Find the length [in meters] traced by the squirrel along the tree. 0 A. 1.521 m 0 3. 1.040111 0 C. 1.092 m C) o. 1.624m 70 Select the correct answer. Find the length of the curve described by the function y = j where, OSX $1. 8 O A. 3.462 O B. 1.121 OC. 1.010 OD. 2.431' Select the correct answer. which of the following is the area of the surface obtained by rotating the curve x = \"'25 3/2 , U S y 5% , about the yams? GA. 5?? OH. 9;? QC. 153? On. 25:? 72 Select the correct answer. An engineering student wants to find the area of surface obtained by rotating the curve y= 3x- over the interval [0, 2], about the x-axis. Which of the following is the correct surface area? O A. 455.50 O B. 50.77 O C. 29.04 OD. 2,297.3013 Select the correct answer. Find the center of mass of the system of objects that have masses 1 , 1 and 1 at the point {-2.2}, {2.1 J and {3.3} respectively (I) A. {1. 2) C} a. {2, 6} C} C. {1. 61 O n. {3. 6] 74 Select the correct answer. The dye dilution method is used to estimate cardiac output using 7 mg of dye. The dye concentration is modeled by the function of = 214 - (). The dye concentration is expressed in mg/L and t is measured in seconds. Estimate the cardiac output for the time interval [0, 4]. O A. 21.33 O B. 27.43 O C. 129.33 O D. 0.328 Reset Next75 Select the correct answer. The demand function fortov planes sold by a leading store is given as aim = 36 - 3):: where XiS the product quantity. The supply function for the same is given as six} = 5X. For the given supply and demand functions, determine the equilibrium price. 0 A. $23 0 a. 524 O C. $26 0 D. s27 76 Select the correct answer. The marginal cost function for manufacturing perfume is given by ch} = ?x+ 28, where x is the product quantity. Find the change in the cost of perfume when the number of units sold changes from 2 to 10. O A. $56 0 a. $5? 0 c. $62 3'? Select the correct answer. The average lifetime of a light bulb is 6000 hours. What is probabilitythat the bull) will last for more than 3000 hours? x Note: Pie 5 X 5 f3.) = [big-Wax where u is the average value. 3 0 A. 0.3935 0 a. 0.5462 0 C. 06066 O I). 0.648? 78 Select the correct answer. For what constant k is A(x) = ke 5x*2) a probability density function on [0 1]? OA. 21.00 O B. 23.33 O C. 36.33 O D. 40.00