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The following two waves are sent in opposite directions on a horizontal string so as to create a standing wave in a vertical plane: y1(x, t) = (6.00 mm) sin (4.00px - 400pt) y2 (x, t) = (6.00 mm) sin (4.00px + 400pt), with x in meters and t in seconds. An anti node is located at point A. In the time interval that point takes to move from maximum upward displacement to maximum downward displacement, how far does each wave move along the string?
an open-top box is to be made by cutting small congruent squares from corners of a 30 x 30 sheet and bending it up to the sides. how large should the squares cut from the corners to make the box hold as much as possible?
A car moving at a speed of v mph achieves 24 + 0.1v mpg (miles per gallon) for v between 20 and 60 mph. Your speed as a function of time, t, in hours, is given by v=50(t/t+1). Write an integral that will give the total number of gallons of gas con..
suppose that for a certain company c(x)=45x+500,000 represents the total cost function, and R(x)=55x represents the total revenue function. Find the total-profit function and break-even point.
In order to control costs, a company wishes to study the amount of money its sales force spends entertaining clients. The following is a random sample of six entertainment expenses (dinner costs for four people) from expenses reports submitted by ..
The following data summarizes the historical demand for a pr, Month Actual demand, March 20, April 25
question 1 a saleswoman is working on a 3 commission basis. if she wants to make 3000 in one month how much must she
The car can be ordered in any one of seven exterior colors. How many different cars can be ordered?
the graph of the circle of the equation below is a circle. What is the length of the radius of the circle?
find the rate at which the water is leaking out if the water level is falling at the rate of 0.1 meter per hour.
Modelling the Rules of a Game. Alex and Mark are playing a game. The goal is to get to 100. The first player picks a whole number from 1 to 10, inclusive, and then the second player picks a whole number from 1 to 10 and adds it to the score so far..
Different ways to schedule appearances of 4 performers. There are 4 performers who will present their comedy this weekend at a comedy club
a plane flies 400 miles with the wind and 320 miles against the wind in the same length of time. If the speed of the wind is 29 mph, what is the speed of the plane in still air?
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