J'lfth 2412 - Final Exam Here's-w Problems 83. Use properties of limits to nd the indicated limit. lini(4I 8) .1''{) Select the correct choice below and ll in any answer blanks in your choice. 0 A. lingII 8) = .r'{) O B. The limit does not exist. 84. a. Find the slope of the tangent line to the graph of f(I) : GI + l at the point (2.16). I). Find the slopeintercept equation of the tangent line to the graph of f (I) : GI + 4 at the point (2.16). 85. Use properties of limits to nd the indicated limit. . I2 36 11111 , I46 1' ('1 Select the correct choice below and ll in any answer blanks in your choice. 2.f' OA.li111'r 3): r' I (i O B. The limit does not exist. 86. Determine for what numbers. if any. the given function is discontinuous. TI if I 6 Select the correct choice below and ll in any answer blanks in your choice. 0 A. The function I is discontinuous at O B. The function is continuous everywhere. 87. a. \"'hat is the derivative of KI)? b. \"'hat is the slope of the tangent line to the graph of f at the given Ivalues'.> f(I)=I21I+GEI= 31:3 88. Use properties of limits to nd the indicated limit. li111 .1'~36 I 36 Select the correct choice below and ll in any answer blanks in your choice. . 6 O A. 11111 , = 436 I 3b 0 B. The limit does not exist. Math 2412 - Final Exam Review Problems 89. A piecewise function is given. Use properties of limits to find the indicated limits, or state that a limit does not exist. 7-x if x 7 a. Select the correct choice below and fill in any answer blanks in your choice. O A. lim f(x) = X-7- O B. The limit does not exist. b. Select the correct choice below and fill in any answer blanks in your choice. O A. lim f(x) = I-+7+ O B. The limit does not exist. c. Select the correct choice below and fill in any answer blanks in your choice. O A. lim f (x) = x+7 O B. The limit does not exist. 90. An explosion causes debris to rise vertically with an initial velocity of 112 feet per second. The function s(t) = -16t2+112t describes the height of the debris above the ground, s(t), in feet, t seconds after the explosion. a. What is the instantaneous velocity of the debris 1 second after the explosion? 2 seconds after the explosion? b. What is the instantaneous velocity of the debris when it hits the ground? a. The instantaneous velocity of the debris 1 second after the explosion is feet per second. The instantaneous velocity of the debris 2 seconds after the explosion is feet per second. b. The instantaneous velocity of the debris when it hits the ground is feet per second