\f13 Select the correct answer. Find the x-coordinate of the critical point for the functionf (X ) = In(e* - 2x) . OA. X= 2 OB. x= Ing OC. x=In5 OD. x= In214 Select the correct answer. Find the derivative of the functionf(x) = log, (3x +4)3. O A. 3 (4+ 3x )In 2 OB. (4+3x)In 2 OC. 9In 2 (4+3x ) OD. 3 (4x +3)In215 Select the correct answer. Find the derivative of the functionf(x) = (x + 2)* using logarithmic differentiation. O A. (2+X)*[ X +In( 2+ x)] 2+X O B. X (2+ X)[- + In(2+ X )] 2+X OC. X + In( 2+ X )] 2+ X OD. (2+X)[(2+x)* +In(2+X)]16 Select the correct answer. Find the x-coordinate of the inflection points for the functionf(x) = In(x] +4). O A. x= -2 and x = 2 O B. x= In 8 and x = In 2 O C. x= 5 and x= 3 O D. x= 9 and x=417 Select the correct answer. Find the area under the curve y = from 1 to 2. X O A. 0.095 O B. 1.008 OC. 2.883 OD. 5.97518 Select the correct answer. Evaluate the integral | sec(3x + 1)dx . O A. 3 Insec( 3x + 1) + tan(3x + 1)+ C O B. 3Insec(3x + 1) + tan(3x + 1)+ C OC. 1 Insec 3x + tan3x + C CO O D. 3In sec(3x + 1) tan(3x + 1) + C19 Select the correct answer. Evaluate the integral [ Secz x ox - tan x O A. In tan x] + C O B. In | sec x| + c OC. In x +C O D. In | sec xtan x| + C20 Select the correct answer. An archaeologist finds a barren land with a large number of fossils of Dinosaurs. The number My of fossils that can be found per cubic meter ON 5000 after t years can be determined by solving the equation: Assuming that the initial number of fossils is 100, estimate the number of 6 +51 fossils after 10 years. O A. 2098.24 OB. 2333.59 O C. 4580.64 O D. 4719.8621 Select the correct answer. The population of Brazil was 10.112 million in 1855 and 12.51 million in 1860. Estimate the population of Brazil in 1870. O A. 11.82 million O B. 12.81 million OC. 19.15 million O D. 20.00 million22 Select the correct answer. Hot custard in heated at a temperature at 194F. It is then allowed to cool in the refrigerator at a temperature of 41F. The custard cools to 140F in 20 minutes. What will be the temperature of the custard after 80 minutes? 0 A. 51.33F O B. 56.3?\"F O C. 55.41F O D. SISTF