At noon, ship A is 10 nautical miles due west of ship B. Ship A is...

At noon, ship A is 10 nautical miles due west of ship B. Ship A is sailing west at 16 knots and ship B is sailing north at 21 knots. How fast (in knots) is the distance between the ships changing at 4 PM? (Note: 1 knot is a speed of 1 nautical mile per hour.)?

The area of a healing wound is given by A=πr2A=πr2. The radius is decreasing at the rate of 4 millimeters per day at the moment when r=30r=30. How fast is the area decreasing at that moment?

Gravel is being dumped from a conveyor belt at a rate of 40 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 11 feet high?
Recall that the volume of a right circular cone with height h and radius of the base r is given by
V=13πr2hV=13πr2h

A spherical snowball is melting in such a way that its radius is decreasing at rate of 0.1 cm/min. At what rate is the volume of the snowball decreasing when the radius is 16 cm. (Note the answer is a positive number).

Expert Solution

milcah answered 2 years ago

At noon, ship A is 130 km west of ship B. Ship A is sailing east...

At noon, ship A is 130 km west of ship B. Ship A is sailing east at 30 km/h and ship B is sailing north at 15 km/h. How fast is the distance between the ships changing at 4:00 PM?

An airliner passes over an airport at noon traveling 510 mi divided by hr due west....

An airliner passes over an airport at noon traveling 510 mi divided by hr due west. At 1 : 00 p.m., another airliner passes over the same airport at the same elevation traveling due north at 570 mi divided by hr. Assuming both airliners maintain their (equal) elevations, how fast is the distance between them changing at 2 : 30 p.m.

Differential Calculus - [Related Rates] — At Noon, ship A is 200 km east of ship...

Differential Calculus - [Related Rates] — At Noon, ship A is 200 km east of ship B and ship A is sailing north at 30 km/h. ten mins later, ship B starts to sail south at 35 km/h. a) What is the distance between the two ships at 3pm? b) How fast (in km/h) are the ships moving apart at 3pm? — Source Material: Stewart, J. (2016). Single variable calculus: early transcendentals. [Chapter 3.9]

Ship A is traveling north at 6 mi/hr, and ship B is traveling west at 12 mi/hr

Ship A is traveling north at 6 mi/hr, and ship B is traveling west at 12 mi/hr. When ship A was dead ahead of ship B, it was 6 mi away. Use MuPAD to determine how close the ships come to each other.

Two ships leave the same port at noon. Ship A sails north at 14 mph, and...

Two ships leave the same port at noon. Ship A sails north at 14 mph, and ship B sails east at 17 mph. How fast is the distance between them changing at 1 p.m.? (Round your answer to one decimal place.)

Sarah leaves her house and walks 11 miles to the west and then 6 miles at...

Sarah leaves her house and walks 11 miles to the west and then 6 miles at an angle 30 degrees west of north. How far and in what direction does Sarah need to walk to get home? A picture and detailed show of work would be appreciated!

1) You leave your house and walk ten miles to the west, and then five miles...

1) You leave your house and walk ten miles to the west, and then five miles at an angle 60 degrees west of south. How far and in what direction do you need to walk to get home? 2) A car moving with a constant speed travels 160 m in 6.00 s. If it then breaks and comes to a stop in 6.00 s, how far it travels before stopping? What is the average speed over the 12.0 seconds? Please...

A train starting at noon, travels north at 40 miles per hour. Another train starting from...

A train starting at noon, travels north at 40 miles per hour. Another train starting from the same point at 2 PM travels east at 50 miles per hour. Find, to the nearest mile per hour, how fast the two trains are separating at 3 PM. How fast the trains are separating after long time?

Separated by more than 3,000 nautical miles and five time zones, money and foreign exchange markets...

Separated by more than 3,000 nautical miles and five time zones, money and foreign exchange markets in both London and New York are very efficient. The following information has been collected from the respective areas: London New York Spot exchange rate ($/€) 1.3266 1.3266 1-year Treasury bill rate 3.904 % 4.505 % Expected inflation rate Unknown 1.252 % -------------------------------------------------------------------------- a. What do the financial markets suggest for inflation in Europe next year? b. Estimate today's 1-year forward exchange rate between...

West Coast Containers manufactures a high quality container in which to ship electronic equipment. Actual production...

West Coast Containers manufactures a high quality container in which to ship electronic equipment. Actual production was 18,000 containers using 9,500 machine-hours. Actual variable costs were $20 per machine-hour. The current year operating budget is based on production of 20,000 containers with 0.8 machine-hour allowed per container. Variable manufacturing overhead is anticipated to be $220,000. Calculate the variable overhead rate and efficiency variances. Calculations s/b 2 decimal places.

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