An island is 4 miles offshore in a large bay. A water pipeline is to be...
An island is 4 miles offshore in a large bay. A water pipeline is to be run from a water tank on the shore to the island, as in the figure. The pipeline costs 50 thousand dollars per mile in the ocean, and 30 thousand dollars per mile on the land. Find the layout that costs the least.
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An island is 4 miles offshore in a large bay. A water pipeline
is to be...
A docking facility 4 miles off shore stores large amounts of oil. It is to be...
A docking facility 4 miles off shore stores large amounts of
oil. It is to be connected by a pipe to a refinery onshore.. 8
miles down the shore line from facility as shown in the figure. If
underwater pipe cost $3,000 per mile and land-based pipe cost
$2,000 per mile, what solution of piping would minimize the cost of
connection? Show equations and determine solution with
calculator.
Docking Facility mi Shore line Refinery B 8 mu
An Oil Rig is located a = 11 miles from a straight coastline. An Oil Refinery...
An Oil Rig is located a = 11 miles from a straight coastline. An Oil Refinery is located 16 miles down the coastline. The cost of putting in a pipeline from the Oil Rig to the Oil Refinery depends on whether it is on land or in the water. Rather than coming directly to the shoreline and then turning at a Right Angle, suppose that the Oil Pipeline met the shore at a point b = 5 miles from the...
Homing pigeons avoid fying over large bodies of water, preferring to fy around them instead. Assume...
Homing pigeons avoid fying over large bodies of water, preferring to fy around them instead. Assume that a pigeon released from a boat 2 miles from the shore of a lake flies first to a point Pon the shore and then along the straight edge of the lake to reach its home at a point if Lis 4 miles from point A the point on the shore closest to the boat and if a pigeon needs ut of as much...
A water tank has the shape of an inverted cons of height 12 m with a...
A water tank has the shape of an inverted cons of height 12 m with a circular base of radius 3 m. It water is being pumped into the tank at 4 m®/min, how fast is the water levet rising when the water is 11 m doop. Round your answer to two decimal places. The water level is rising at a rate of Number Units A man in a boat is 2 miles from the nearest point on the shore....
4.4. A semi circular city with radius 5 miles borders the ocean. The center of the region is a se...
4.4. A semi circular city with radius 5 miles borders the ocean. The center of the region is a semi circular bay with radius 1 mile. (See figure) the price of housing at location Pin the a. Suppose city depends linearly on docet, the distance of P to the ocean (not the bay): at 5 miles housing costs $100 /sqft, while - ocean front property goes for $2000/sqft. Compute the average price of housing in the city. (Hint: Sketch price...
Aman in a boat is 2 miles from the nearest point on the shore. He needs...
Aman in a boat is 2 miles from the nearest point on the shore. He needs to get to a point 3 miles down the shore. It he can row at 4 miles per hour and run at 16 miles per hour, how far down the shore from where he starts out should he land in order to minimize the time it takes to reach his final destination? Enter the exact answer To enter Vā, type sqrt(a) He should land...
(1 point) An area near Onondaga Lake has become contaminated with phosphorus. A proposed treatment plan...
(1 point) An area near Onondaga Lake has become contaminated with phosphorus. A proposed treatment plan will reduce the contamination for a while, but then it will build up again. Specifically, the percent of phosphorus in the soil x months after the treatment begins is given by f(x) = x2 + 81 4x 1 < x < 12 When will the phosphorus be reduced to a minimum? After months. What is the minimum percent? (1 point) A cable company plans...
The shortest distance across the water from an island dock (point D) to a straight shoreline...
The shortest distance across the water from an island dock (point D) to a straight shoreline is 9 miles. Let the closest point on the shoreline be A. An amphibious vehicle makes a trip from a depot at a point B on the shoreline that is 20 miles away from A. Suppose that it travels 20 – x miles toward A along the shoreline (where 0 ≤ x ≤ 20) to a point C, then strikes out across the water...
A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular...
A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular window. (The diameter of the semicircle is equal to the width of the rectangle.) Find the dimensions of a Norman window if the perimeter of the window is 20 fot so that the maximum amount of light is admitted, Enter the exact answers Enclose numerators and denominators in parentheses. For example, (a - b)/(1+r). Length (in feet) Width (in feet): Hint Penalty Hint 0.0...
answer for part a) is 307 miles. 4. The costs of mining and transporting coal are...
answer for part a) is 307 miles.
4. The costs of mining and transporting coal are coal. Consider that the coal in the ground is valued at 50 cents/(million kJ), that mining costs are 8 dollars/(short-ton), and that transportation costs are 8 cents/(short-ton mile). If the price of other delivered coals is 160 cents/(million kJ), find: (a) the radius from the mine, in miles, that a coal of 32,560 kJ/kg can be delivered and sold for zero profit or loss;...
A docking facility 4 miles off shore stores large amounts of
oil. It is to be connected by a pipe to a refinery onshore.. 8
miles down the shore line from facility as shown in the figure. If
underwater pipe cost $3,000 per mile and land-based pipe cost
$2,000 per mile, what solution of piping would minimize the cost of
connection? Show equations and determine solution with
calculator.
Docking Facility mi Shore line Refinery B 8 mu
Homing pigeons avoid fying over large bodies of water, preferring to fy around them instead. Assume that a pigeon released from a boat 2 miles from the shore of a lake flies first to a point Pon the shore and then along the straight edge of the lake to reach its home at a point if Lis 4 miles from point A the point on the shore closest to the boat and if a pigeon needs ut of as much...
A water tank has the shape of an inverted cons of height 12 m with a circular base of radius 3 m. It water is being pumped into the tank at 4 m®/min, how fast is the water levet rising when the water is 11 m doop. Round your answer to two decimal places. The water level is rising at a rate of Number Units A man in a boat is 2 miles from the nearest point on the shore....
4.4. A semi circular city with radius 5 miles borders the ocean. The center of the region is a semi circular bay with radius 1 mile. (See figure) the price of housing at location Pin the a. Suppose city depends linearly on docet, the distance of P to the ocean (not the bay): at 5 miles housing costs $100 /sqft, while - ocean front property goes for $2000/sqft. Compute the average price of housing in the city. (Hint: Sketch price...
Aman in a boat is 2 miles from the nearest point on the shore. He needs to get to a point 3 miles down the shore. It he can row at 4 miles per hour and run at 16 miles per hour, how far down the shore from where he starts out should he land in order to minimize the time it takes to reach his final destination? Enter the exact answer To enter Vā, type sqrt(a) He should land...
(1 point) An area near Onondaga Lake has become contaminated with phosphorus. A proposed treatment plan will reduce the contamination for a while, but then it will build up again. Specifically, the percent of phosphorus in the soil x months after the treatment begins is given by f(x) = x2 + 81 4x 1 < x < 12 When will the phosphorus be reduced to a minimum? After months. What is the minimum percent? (1 point) A cable company plans...
A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular window. (The diameter of the semicircle is equal to the width of the rectangle.) Find the dimensions of a Norman window if the perimeter of the window is 20 fot so that the maximum amount of light is admitted, Enter the exact answers Enclose numerators and denominators in parentheses. For example, (a - b)/(1+r). Length (in feet) Width (in feet): Hint Penalty Hint 0.0...
answer for part a) is 307 miles.
4. The costs of mining and transporting coal are coal. Consider that the coal in the ground is valued at 50 cents/(million kJ), that mining costs are 8 dollars/(short-ton), and that transportation costs are 8 cents/(short-ton mile). If the price of other delivered coals is 160 cents/(million kJ), find: (a) the radius from the mine, in miles, that a coal of 32,560 kJ/kg can be delivered and sold for zero profit or loss;...
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