27 Select the correct answer. A spring has a natural length of .05 m. A force of 20 N is required to keep the spring stretched to a length of .'I m. Calculate the work that will be required to stretch the spring from .'i m to .2 m. OR. 4] 03. 5] 0C. 6] OD. 7] 23 Select the correct answer. Kayla i5 lifting a 2.1kg sandhag to a height of 'i .3 m above the ground. How much work i5 done? 0 A. 15.34] D B. 13.25] D E. 19.43] D 0. 26.?54] 29 Select the correct answer. Find the average value of the function f(x) = (X - 1)~ on the interval [0, 1]. OA. 2.5 OB. -1 OC. OD. 330 Select the correct answer. Determine csuch that ((c) is the average value of the function ((x) = 4x on the interval [0, 2]. O A . OB. 4 OC. 2 OD. 1.531 Select the correct answer. Which graph shows a function and its Inverse? OA Graph A Graph B A x OC Graph C OD. Graph D32 Select the correct answer. X What is the inverse of the function f(X) = ? X +5 OA F(X) = 5X 1 - X OB. f-1 ( X ) = 5 X - 1 OC fix)= X 1 - X OD. f-( X) = 5X X - 135 Select the correct answer. Evaluate the integral [In ge 2% OA. -2X 40 OB. -2X +0 OC. N - Ine -2X +0 OD . In e -2x 4036 Select the correct answer. Find the area under the curve y = 22x-3 from 0 to 2. 2X - 3 V = 2 6 -4 -3 -2 -1 1 2 3 4 X 5 O A. 1.082 O B. 1.262 O C. 1.305 OD. 1.35337 Select the correct answer. Find the x-coordinate of the critical point for the functionf (x) = log, (e* - x). OA. X=0 OB. X= 5 OC. x= In7 OD. X= In038 Select the correct answer. Find the derivative of the function f(x) = (x)"(*) using logarithmic differentiation. O A. 2x-Inx In x OB. 2xthanx OC. 2x-14 In X OD. 2x-14x + In x39 Select the correct answer. Evaluate the integral Ox x cos(In x ) O A. In [sec(In x) + tan(In x)] + C O B. sec(In x) + 0 O C. sec xtan x + C OD. + 0 sin (In x)