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A bug is in the center of spinning record player with a radius of 5 inches. the record spins 30 times per minute.(its a little slower than it should be. it needs to be turned.) the bug walks in a staight line along the record to the edge at a speed of 2 inches/second.
a) Using the parameter t, representing time in seconds, find the parametric equations, r(t) and theta(t), for the position of the bug
b) Eliminate the parameter from part a) to find the polar coordinate equation for the path the bug traveles as it walks.
c) Determine the distance the bug travels from the time it leaves the center until it recheas the edge.
d) Find the total distance traveled if the bugs speed is changed to 4inches/second. What effect does this have on the total distance traveled.
Mineral deposits have formed a uniform coating that is 4mm thick on the inside of a water pipe. The cross0sectional area of the pipe has decreased by 10% What was the original diameter of the pipe. (nearest tenth) of a millimeter.
Use the first derivative test to locate and identify all relative extrema"
A plane leaves an aircraft carrier and files due north at 500km/hr. the aircraft carrier proceeds 30 degree west of south at 35km/h. if the plane has enough fuel for 4h of flying, what is the maximum distance north it can fly,
Probability - independence of 2 events. Prove that if A and B are independent events in a probability space, then the events A^c and B^c are also independent.
the sunniest place in the world is yma in the american state of arizona. this small city basks in 4055 ours of
Suppose that a car normally sells for $16,500 and is now on sale for $14,000. What is the percent of discount? If necessary, round your answer to the nearest tenth.
A 180-lb person compresses a bathroom scale 0.060 in. If the scale obeys Hooke's law, how much work is done compressing the scale if a 90-lb person stands on it?
a room measures 16fy by 19 ft the ceiling is 9 ft above the floor a gallon of paint will cover 77.8 ft^2 how many gallons are needed to paint the room.
The stem-and-leaf plots compare the ages of 30 actors and actresses at the time they won an award.
Consider a particle moving in a circle at a fixed radius R from the origin. Determine the normal and tangential components of the acceleration vector a→ for the two cases below.
but water leaks out of a hole in the bucket at a rate of 0.25 lb/s. Find the work done W in pulling the bucket to the top of the well.
If R denotes the reaction of the body to some stimulus of strengths x, the \sensitivity S la defined to be the rate of change of ins reaction with respect to x. Find the sensitivity corresponding to x = 2.
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