Need help with problems 57-67. Answers only is fine if you would like. I'll give helpful rating if most are correct :)

57 Select the correct answer. x3 2x2 Identify the local minimum value for the function f(x) = 5x , using the first derivative test. OA. x=-3 OB X=-166 OC. x=3 58 Select the correct answer. (x2 -1) X Which describes the concavity of the function x) = ,-2.5 O A. concave upward in (-2.5, 1) and concave downward in (1, 2.5) O B. concave downward in (-2.5, 1) and concave upward in (1, 2.5) O C. concave upward in (-2.5, 0.27) and concave downward in (0.27, 2.5) O D. concave downward in (-2.5, 0.27) and concave upward in (0.27, 2.5) 59 Select the correct answer. For the function f(x) = ex sin(x), what are the points of inflection or extrema. O A. Inflection at x = 1.57 and x = 0.79, maximum at x = -0.79, and minimum at x = 2.36 O B. Inflection at x = 1.57 and x= -1.57, maximum at x = 2.36, and minimum at x = -0.79 O C. Inflection at x = 0 and x = 0.5, maximum at x = -0.79, and minimum at x = 2.36 O D. Inflection at x = 0, maximum at x = 2.36, and minimum at x = -0.7960 Select the correct answer. 9x3 - 5x2 -3x-1 Determine the vertical asymptote for the function f(X) = X - 8 O A. X=-3 OB. X=-1 OC. x= 0 OD. X= 861 Select the correct answer. 1 1x2 - 9x - 3 Find the horizontal asymptote for the function f(X) = X O A. No horizontal asymptote. OB. y= 0 OC. y= 11 OD. y= 062 Select the correct answer. Which function does this graph represent? -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 OA. X14+X OB. (4- x) X OC. x14-X OD. ( 4 +x) vx63 Select the correct answer. Which statement is correct about the maxima and minima of the function iix) = COS (2 yrx) + m over the interval (0, 1)? O A. The maximum is at X= 1 and the minimum is at x= 0.5. O B. The maximum is at x= 0.5 and the minimum is at X: 1. O C. The maximum is at X= 0.416 and the minimum at x= 0.083. O D. The maximum is at x= 0.083 and the minimum is at x= 0.416. 64 Select the correct answer. According to Boyle's Law, PV= Cat constant temperature, where Pis the pressure, Vis the volume, and Cis a constant. At time t, the volume is 700 cm3 and the pressure is 210 kPa. If the pressure increases at the rate of 30 kPa/min, what is the rate at which the volume is changing at that instant? O A. -100 cm3/min O B. 9 cm3/min O C. 4,900 cm3/min O D. 6,300 cm3/min65 Select the correct answer. An inverted square pyramid 20 ft high with a square base having 8-foot sides is lled with oil at the rate of2 cubic ft/s. How fast is the oil rising when it is at 4 ft deep? Volume of square pyramid: V = grill? , where A = area of the base, h = height. 0 A. 0.313 ft/S O B. 0.625 ft/s O C. 0.78 ft/s O D. 1.25 ft/s 66 Select the correct answer. Use Newton's method to find the third approximation of the function x) = x2 +10X+ 17, where X1 = -2. O A. -2.1751 0 B. -2.1715 0 C. 2.1666 0 D. 2.1715 67 Select the correct answer. Use Newton's method to find 3 5 correct to 4 decimal places. 0 A. 1.7099 0 B. 1.7108 0 C. 1.7501 0 D. 1.7909