Let f'(c)=0. If f'(x) exists and is increasing on an interval containing c, then what type...
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Let f'(c)=0. If f'(x) exists and is increasing on an interval containing c, then what type of critical point is located at x= =c? Question 12 (2 points) A rectangle of perimeter 100 cm is rotated about one of its sides so as to generate a circular cylinder. I What is the largest possible volume for that cylinder? Leave answer in fraction form with pi include if necessary. e.g. 500pi/3 cm^3 A Question 13 (2 points) If f'(x1): = 0 and f(x1) > 0 then f has a A at x. If f'(x2) = 0 and fll(x) < 0, then f has a A at x2. Question 14 (3 points) An electrical line coming from a solar farm costs $500,000 per km over land and $745,000 per km underwater. This solar farm which is owned by a small indigenous community in rural Quebec is located in a big open field on their land on the east bank of a 2 km wide river. The electrical line needs to be connected to their community located 10 km south of the solar farm on the west bank of the river. What is the minimum cost to make this happen? Round answer to the nearest cent. Part marks will be given if answer is within +$1000 Answer format example: $8,014,090.23 km community Solar Farm Question 15 (5 points) Match each of the following conditions with an equation. fll(x) = 3x - 5 f(x)=6x-4 f1(0) = f(0) fill(x) = 24 fll(0) = f1(0) = f(0) f(x) = 4 = = 0 0 1. f(x) < 0 on interval (-1/13, 1) 2. f(x) < 0 on interval (-, 0) 3. Point of Inflection at x = 4. Local Min at x = 3 4P - x (x 5 - 1) 5. Local Max at x = 0 y = (x 1) (x + 1) - 50/30 33 Let f'(c)=0. If f'(x) exists and is increasing on an interval containing c, then what type of critical point is located at x= =c? Question 12 (2 points) A rectangle of perimeter 100 cm is rotated about one of its sides so as to generate a circular cylinder. I What is the largest possible volume for that cylinder? Leave answer in fraction form with pi include if necessary. e.g. 500pi/3 cm^3 A Question 13 (2 points) If f'(x1): = 0 and f(x1) > 0 then f has a A at x. If f'(x2) = 0 and fll(x) < 0, then f has a A at x2. Question 14 (3 points) An electrical line coming from a solar farm costs $500,000 per km over land and $745,000 per km underwater. This solar farm which is owned by a small indigenous community in rural Quebec is located in a big open field on their land on the east bank of a 2 km wide river. The electrical line needs to be connected to their community located 10 km south of the solar farm on the west bank of the river. What is the minimum cost to make this happen? Round answer to the nearest cent. Part marks will be given if answer is within +$1000 Answer format example: $8,014,090.23 km community Solar Farm Question 15 (5 points) Match each of the following conditions with an equation. fll(x) = 3x - 5 f(x)=6x-4 f1(0) = f(0) fill(x) = 24 fll(0) = f1(0) = f(0) f(x) = 4 = = 0 0 1. f(x) < 0 on interval (-1/13, 1) 2. f(x) < 0 on interval (-, 0) 3. Point of Inflection at x = 4. Local Min at x = 3 4P - x (x 5 - 1) 5. Local Max at x = 0 y = (x 1) (x + 1) - 50/30 33
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