1.Find the equation of the tangent line to ? = √3? + 1 at the point...
1.Find the equation of the tangent line to ? = √3? + 1 at the point ? = 1 in the form ? = ? + ??.
2. The owner of an apple orchard estimates that if 24 trees are planted per acre, then each mature tree will yield 600 apples per year. For each additional tree planted per acre, the number of apples produced by each tree decreases by 12 per year. How many trees should be planted per acre in order to obtain the most apples? Hint: Total Harvest Yield = (Number of trees)(Number of apples per tree)
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1.Find the equation of the tangent line to ? = √3? + 1 at the
point...
word prob
A peach orchard owner wants to maximize the amount of peaches produced by his orchard.He cannot simply plant as many trees as he can, since planting more trees will decrease the amount of fruit that each tree produces (the yield of each tree).He has found that the per-tree yield can be described by the equationY = 1200 - 15 x.Here Y is the yield per tree and x is the number of trees planted per acre.For example, if there were...
An apple farm yields an average of 38 bushels of apples per tree when 20 trees...
An apple farm yields an average of 38 bushels of apples per tree when 20 trees are planted on an acre of ground. Each time 1 more tree is planted per acre, the yield decreases by 1 bushel (bu) per tree as a result of crowding. How many trees should be planted on an acre in order to get the highest yield? In order to get the highest yield, trees should be planted on an acre.
Use the product rule to find the derivative of (8x? – 5x8) (9e" – 6) Use...
Use the product rule to find the derivative of (8x? – 5x8) (9e" – 6) Use e^x for e. You do not need to expand out your answer. Preview syntax error Get help: Video Use the chain rule to find the derivative of f(x) = 5e9x4 – 7z? f'(x) = Preview Get help: Video A farmer finds that if she plants 95 trees per acre, each tree will yield 80 bushels of fruit. She estimates that for each additional tree...
Appplications of differentiation If 30 apple trees are planted in a fixed area of land, each tree yields 400 apples on average. The yield will decrease about 10 apples per tree for each additional tre...
Appplications of differentiation If 30 apple trees are planted in a fixed area of land, each tree yields 400 apples on average. The yield will decrease about 10 apples per tree for each additional tree planted in the land. How many trees should be planted for maximum total yield? Justify your result.
A commercial cherry grower estimates from past records that if 25 trees are planted per acre,...
A commercial cherry grower estimates from past records that if 25 trees are planted per acre, then each tree will yield an average of 37 pounds of cherries per season. If, for each additional tree planted per acre (up to 22), the average yield per trae is reduced by 1 pound, how many trees should be planted per acre to obtain the maximum yield per acre? What is the maximum yield? pounds, trees should be planted per In order to...
Please answer all 3 will thumbs up. An apple grower finds that if she plants 40...
Please answer all 3 will thumbs up.
An apple grower finds that if she plants 40 trees per acre, each tree will yield 150 bushels of apples. She also estimates that for each additional tree that she plants per acre, the yield of each tree will decrease by 3 bushels. How many trees should she plant per acre to maximize her harvest? 5 Xtrees per acre Need Help? Submit Answer The demand function for beer is given below, where p...
4. What is the mass of Mr. Meeseeks if it weighs 825.0 N on the Earth?...
4. What is the mass of Mr. Meeseeks if it weighs 825.0 N on the Earth? 5. What is the tension force in a rope that is supporting Cronenberg Morty, if he has a mass of 75 kg? (Include a direction) 6. Birdperson is returning to Bird World. His rocket weighs 1.9 X 10' N, and its engines exert a force of 2.7 X 10' N at liftoff. a. What is the mass of the rocket? b. What is its...
A farmer has 70-acres on which to plant a pear orchard. Three neighboring farms with similar...
A farmer has 70-acres on which to plant a pear orchard. Three
neighboring farms with similar soil conditions already have
established orchards. One of these orchards has 250 trees planted
per acre yielding, on average, 525 pears per tree. Another has 280
trees per acre, yielding 480 pears per tree, while the third with
350 trees per acre yields only 375 pears per tree (see chart).
The average weight of a pear is approximately ½-pound. Perform
appropriate transformations so as...
If 2000 square centimeters of material is available to make a box with a square base...
If 2000 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box. Volume cubic centimeters. Question Help: Message instructor Submit Question Jump to Answer A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 11 - 2?. What are the dimensions of such a rectangle with the greatest possible area? Width = Height = Question...
A baseball team plays in a stadium that holds 62000 spectators. With the ticket price at...
A baseball team plays in a stadium that holds 62000 spectators. With the ticket price at $11 the average attendence has been 26000. When the price dropped to $9, the average attendence rose to 31000. Assume that attendence is linearly related to ticket price. What ticket price would maximize revenue? $ Question Help: Message instructor Submit Question Jump to Answer A farmer finds that if she plants 40 trees per acre, each tree will yield 20 bushels of fruit. She...
An apple farm yields an average of 38 bushels of apples per tree when 20 trees are planted on an acre of ground. Each time 1 more tree is planted per acre, the yield decreases by 1 bushel (bu) per tree as a result of crowding. How many trees should be planted on an acre in order to get the highest yield? In order to get the highest yield, trees should be planted on an acre.
Use the product rule to find the derivative of (8x? – 5x8) (9e" – 6) Use e^x for e. You do not need to expand out your answer. Preview syntax error Get help: Video Use the chain rule to find the derivative of f(x) = 5e9x4 – 7z? f'(x) = Preview Get help: Video A farmer finds that if she plants 95 trees per acre, each tree will yield 80 bushels of fruit. She estimates that for each additional tree...
A commercial cherry grower estimates from past records that if 25 trees are planted per acre, then each tree will yield an average of 37 pounds of cherries per season. If, for each additional tree planted per acre (up to 22), the average yield per trae is reduced by 1 pound, how many trees should be planted per acre to obtain the maximum yield per acre? What is the maximum yield? pounds, trees should be planted per In order to...
Please answer all 3 will thumbs up.
An apple grower finds that if she plants 40 trees per acre, each tree will yield 150 bushels of apples. She also estimates that for each additional tree that she plants per acre, the yield of each tree will decrease by 3 bushels. How many trees should she plant per acre to maximize her harvest? 5 Xtrees per acre Need Help? Submit Answer The demand function for beer is given below, where p...
4. What is the mass of Mr. Meeseeks if it weighs 825.0 N on the Earth? 5. What is the tension force in a rope that is supporting Cronenberg Morty, if he has a mass of 75 kg? (Include a direction) 6. Birdperson is returning to Bird World. His rocket weighs 1.9 X 10' N, and its engines exert a force of 2.7 X 10' N at liftoff. a. What is the mass of the rocket? b. What is its...
A farmer has 70-acres on which to plant a pear orchard. Three
neighboring farms with similar soil conditions already have
established orchards. One of these orchards has 250 trees planted
per acre yielding, on average, 525 pears per tree. Another has 280
trees per acre, yielding 480 pears per tree, while the third with
350 trees per acre yields only 375 pears per tree (see chart).
The average weight of a pear is approximately ½-pound. Perform
appropriate transformations so as...
If 2000 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box. Volume cubic centimeters. Question Help: Message instructor Submit Question Jump to Answer A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 11 - 2?. What are the dimensions of such a rectangle with the greatest possible area? Width = Height = Question...
A baseball team plays in a stadium that holds 62000 spectators. With the ticket price at $11 the average attendence has been 26000. When the price dropped to $9, the average attendence rose to 31000. Assume that attendence is linearly related to ticket price. What ticket price would maximize revenue? $ Question Help: Message instructor Submit Question Jump to Answer A farmer finds that if she plants 40 trees per acre, each tree will yield 20 bushels of fruit. She...
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