-8 UT If g(x)dx = -4 and g(x)dx =6 , what is g(x)dx ? 2 52. -8 A. 10 B. 2 C. -2 D. -10Which of the following differential equations has x2 - 4y2 = 8 as a solution? 58. A. = 4xy B. dy = dx dx C. dy dy y dx D. dx If ey = 3x2 and y(1) = 2, then the particular solution y(x) is 59. A. y = In x3 + 2 B. y = 2ex3-1 C. y = In (x3 + e2 - 1) D. y = x3 + e2 - 1 60. If a substance decomposes at a rate proportional to the amount of the substance present, and the amount decreases from 60 ounces to 15 ounces in 2 hours, find the constant of proportionality. A. - In 2 B. N | + C. In- D. 61. If the average value of the function fon the interval [a, b] is 15, then Sa f(x) dx = A. 15 B. f(a) + f(b) b - a 15 C. 15b - 15a D. f(a) + f(b) 30