(i) What is the value of exists, and if it does, find its value. lim /(x) 1. limit - 1. limit = -1 2. limit = 2. limit does not exist 3. limit = 1 3. limit = 3 4. limit = 1 4. limit does not exist 5. limit = -3 5. limit = 016 (part 2 of 3) 10.0 points (ii) What is the value of 6. limit = lim /(x)? 019 10.0 points 1. limit = -1 Determine if the limit Ar +3 2. limit = 1 lim 3. limit = -3 exists, and if it does, find its value. 4. limit does not exist 1. limit doesn't exist 5. limit = 3 2. limit = 017 (part 3 of 3) 10.0 points (ili) What is the value of 3. limit = -1 lim / (x)? 4. limit = 3 1. limit = -3 5. limit = $ 2. limit = 1 6. limit = 0 3. limit does not exist 4. limit = 3 020 10.0 points Find the value of 5. limit = -1 lim f(e) 018 10.0 points Determine if when 37 - 5r - 3 lim 2r + 3r + 1 20121. limit = 2 6. limit = 0 2. limit = co 023 10.0 points 3. limit = -00 Find the value of 4. not enough information given 1 - c06(3.r) lim 4sin (2x) 5. limit = 1 6. limit = 4 1. limit does not exist 021 10.0 points 2. limit - Determine if 5 lim 3. limit = In(x - 4) exists, and if it does, find its value. 4. limit = 11 1. limit = 5. limit = 2. limit = -00 024 10.0 points 3. none of the other answers Determine the value of 4. limit = 5 lim VI' + 8 5. limit = 0 6. limit = +oo 1. limit = co 2. limit = 2 022 10.0 points Find the value of 3. limit = 0 In(213 + 2x - 3) lim 472 -4 4. limit = 4 5. limit = 1 1. limit = 6. limit = 2. limit does not exist 7. limit = 3. limit = 2 025 10.0 points 4. limit = Determine 91 - 5. limit lim1. limit = 43 5. temp = 145"F 2. limit = 028 10.0 points If 3. limit doesn't exist F(@) = - U+1 4. limit = 81 10 then by linear approximation we get F(1.2) = 5. limit = 1. 026 10.0 points Use linear approximation with a = 25 to estimate 2. 191 - the number :/ 24.3 as a fraction. 66 3. 1. V243 4 70 2. V243 2 4# 4. 11 3. V243 # 45 5. 915 4. V243 =49 029 10.0 points 5. V243 2 47 A function y = /(x) is known to have the following properties 027 10.0 points (1) f(0) = 0, Richard removes a turkey from the oven after it reaches a temperature of 178"F and (ii) f changes concavity at : = 0, places on a table in his dining room where the temperature is 60"F. After 10 minutes (iii) f" 0 on (3, co). the temperature of the turkey is 162 F, while after 20 minutes it is 152"F. Use linear ap- Which of the following could be the graph of f when dashed lines indicate asymptotes? proximation to predict the temperature of the turkey after half an hour. 1. 1. temp = 142'F 2. temp = 144'F 3. temp = 143'F -2 4. temp = 141'F2. -2 -2- decide which of the following could be the graph of f. 3. 1. -2 -2 2 2. 21 -2. -4 -2 2 -24 5. 3. 030 10.0 points If f is a function on (-4, 4) having exactly three critical points and the sign of f', f" are given in4. I and II only 5. I only 032 10.0 points A rectangular dog pound with three kennels as shown in the figure 5. consists of a rectangular fenced area divided by two partitions. Determine the maximum possible area of this pound if 56 yards of chain link fencing is available for its construction. 1. max area = 96 sq.yards 2. max area = 95 sq.yards 2 2 3. max area = 98 sq.yards +2 4. max area = 99 sq.yards 5. max area = 97 sq.yards 033 10.0 points 031 10.0 points Let f be a function that is differentiable on the The rectangle in the figure open interval (1,10). If /(2) = -5, f(5) = 5, and f(9) = -5, which of the following must be true? I) f has at least 2 zeros. II) The graph of f has at least one horizon- tal tangent. III) For anmer, 7 6 + 35, J() = 3 1. None of these 2. I and III only 3. 1, II, III onlyis formed with adjacent sides on the coordi- nate axes and one corner on the graph of 16 Find the maximum possible area of this rect- angle. 1. max area = 8 sq. units. 2. max area = 48q. units. 3. max area = 5 sq. units. 4. max area = 6 8q. units. 5. max area = 7 sq. units. 034 10.0 points A homeowner wants to build a fence to enclose a 500 square yard rectangular area in his backyard. Along one side the fence is to be made of heavy-duty material costing $9 per yard, while the material along the remaining three sides costs $1 per yard. Determine the least cost to the homeowner. 1. least cost = $190 2. least cost = $205 3. least cost = $195 4. least cost = $185 5. least cost = $200