An island is 3 kilometers due north of its closest point along a straight shoreline. A visitor is staying in a tent that is 13kilometers east of that point. The visitor is planning to go from the tent to the island. Suppose the visitor runs at a rate of 8kmph and swims at a rate of 1 kmph. How far should the visitor run to minimize the time it takes to reach the island?

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A: We have to find the distance on shore to minimized travel time.

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A:

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A: Let they have to walk x miles before flying. We sketch the situation roughly.

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A: person in a boat is 24 km from a shore and wishes to reach a point 20 km down shore (from a point…

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A:

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A: Follow the procedure given below.

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A:

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A: Let the length be: l Let the width be: w

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A: Show that a projectile attains three-quarters of its maximum height in half the time it takes to…

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A: Use application of derivative to find dimensions of the cup to minimize construction cost.

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A: We can find the answer as below

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A:

Q: A boat on the ocean is 2 mi from the nearest point on a straight shoreline; that point is 9 mi from…

A: We have given the distance from the boat (considering point B) to nearest point (considering point…

Q: I need some help with this optimization problem

A:

Q: The upper right-hand corner of a piece of paper, 15 in. by 4 in., as in the figure, is folded over…

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Q: Mauritius  island  is  2  km  due  south  of  its  closest  point  along  a  straight  coastline.…

A:

Q: The upper right-hand corner of a piece of paper, 15 in. by 8 in., as in the figure, is folded over…

A: Concept used: If f''x>0 if and only if fx is the absolute minimum value, where f'x=0.…

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A:

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A: Here we have consider 3 lakes. i.e A,B and C.                               Volume of lake B=2650…

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A: Model the given problem as below.

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A: We have given the cost function C(x) = 800,000 + 340x + 0.0005x2

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A:

Q: 4. Mauritius island is 2 km due south of its closest point along a straight coastline. Gibril is…

A: Given data:-

Q: An island is 2 miles due north of its closest point along a straight shoreline. A visitor is staying…

A: An island is 2 miles due north of its closest point along a straight shoreline. A visitor is staying…

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A: A piece of wire of length 200in is to cut into at most two pieces & each piece is bent into the…

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A: Here we solve the given problem of calculus.

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A:

Q: A rock formation is 3 miles due north of its closest point along a straight shoreline. A visitor is…

A: To calculate the distance of running by visitor that minimize the time for that it takes to reach…

Q: A rock formation is 3 miles due north of its closest point along a straight shoreline. A visitor is…

A: Given A rock formation is 3 miles due north of its closest point along a straight shoreline. A…

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A:

Q: A conical water tank with vertex down has a radius of 13 feet at the top and is 30 feet high. If…

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Q: A boat is located 3 km in the ocean from a point, says P on a straight shoreline. That point is 5 km…

A:

Q: An oil refinery is located 1 km north of the north bank of a straight river that is 2 km wide. A…

A: Solution:

Q: 2. Suppose Kim can run at 8 miles per hour and swim at 2 miles per hour. As shown in the figure…

A:

Q: In the article "Do Dogs Know Calculus?" the author Timothy Pennings explained how he noticed that…

A: Given: Speed on the sand = 6.2 m/s Speed on the water = 0.94 m/s To find: The distance x from C so…

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A:

Q: The upper right-hand corner of a piece of paper, 12 in. by 8 in., as in the figure, is folded over…

A:

Q: A and B start toward each other at the same time from points 150 miles apart. If A went at the rate…

A: