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Take a piece of paper that is .75 mm high, and rip it in half. Place the two halves on top of each other in a rip that in half; place all four pieces on top of each other and rip that in half... and repeat this process a total of 50 times. If you stack all of those piece on top of each other, how high will the stack be? What Landmark will it reach?
Write expressions for the mass and center of mass of a thin wire shaped like a plane curve C, if the wire has linear density function (x,y). (e) How do you evaluate such integrals?
The bucket is filled with 40 pounds of water and is pulled up at a rate of 2.7 feet per second, but water leaks out of a hole in the bucket at a rate of 0.1 pounds per second. Find the work done pulling the bucket to the top of the well.
A rectangle is four times as long as it is wide. If its length were diminished by 6 meters and its width were increased by 6 meters, it would be a square. What are its dimensions?
explain and provide an example of the method used to solve a linear inequality in two variablesis it possible to use
A group of n married couples sits a round a circular table for a group discussion of marital problems. The counselor assigns each person to a seat at random. What is the probability that no husband and wife are side by side?
Next, suppose that interests are compounded continuously. Compute S(t) in that case by letting d tend to infinity in the previous equation
Do you think the Luddites were successful in their endeavors? What could they have done better to influence the role of technology in their lives?
Draw the graph of the following linear function and give the domain and range. Solve the inequality below and write the solutions in interval notation
Find the 95% confidence internal for the standard deviation
Let v(t)=3t^2-12t be the velocity of a particle moving along the x-axis for time t, t>(less than or equal to)0 When t=0 the particle is at x=-6.
describe what must be computed in order to update Gk
Region C sold 20% more than Region B. In the second quarter, sales increased by 15% for Region B, and Region A had 1.5 times as many sales as Region B. What were Region A's sales in the second quarter?
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