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A lighthouse is located on a small island 2 km away from the nearest point P on a straight shoreline and its light makes four revolutions per minute. How fast is the beam of light moving along the shoreline when it is 1 km from P? (Round your answer to one decimal place.)
Find the volume using shell method? Rotate the region bounded by y=x and y=x^2 about the y-axis. The answer is 3pi/10. Please explain.
Use Method of undetermined coefficient to find a particular solution. Then write the general solution.
Give examples (either a graph or the system of equations) of the 3 types of solutions to a system of linear equations - one solution, no solution, infinitely many solutions.
Create a bar graph using two different colors to represent the male and female categories. Use age to categorize and graph the average height.
Why do we measure perimeter in ft, area in ft^2 (or feet squared), and volume in ft^3 (or feet cubed)? What does each mean within the strand of measurement?
Find the length of the field, to the nearest tenth, that will give the entire field a maximum area if 414 m of fencing is available.
What is the velocity of a liquid in a pipe that has a flow rate of 5ft3/s and a diameter of 6 inches ? please show the steps in detail ?
Another man bought one of each of the two types at a cost of $.98. Find the cost of each kind of apple.
Show that if R is a ring with identity element and x is an element in R, then Rx = {rx: r in R} is the principal left ideal generated by x. Similarly,
A forest consist of two types of trees: those that are 0-5 feet tall and those that are taller than 5 feet. Each year, 40% of all 0-5 feet tall trees die, 10% are sold for $20 each, 30% stay between 0-5 feet tall, and 20% grow to be more than 5 fe..
How many satellite radios of each model should be produced each day to maximize Soundex's profit? What is the maximum profit?
Explain Probability of drawing apples from a sample, There are 8 spoiled apples in a container of 27 apples set for inspection. A sample is drawn, for 4 apples at random
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