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Evaluate the coordinate of centroid using multiple integral method
Let T be the region inside the sphere x2 + y2 + z2 = 1 for x ≥0, y≥0 and z≥0. Note that T is an eight of a sphere. The volume of T is π/6. Find the z- coordinate of the centroid of T.
Define a random variable to model the earning of taking a case of this type.
Describe two real-life examples where exponents are used either at home or on the job. For ideas, look in the textbook or online. Look around at home and at work to see what strikes you as being similar in your own life. What examples do you see?
Which is the most econmical purchase?
A lighthouse is fixed 190 feet from a straight shoreline. A spotlight revolves at a rate of 12 revolutions per minute, (24 rad/min ), shining a spot along the shoreline as it spins. At what rate is the spot moving when it is along the shoreline 11..
A soup bowl can be modeled as a solid of revolution formed by revolving the graph of y=(x/2)^0.5+1,0≤x≤4,about the x-axis. Use this model, where x and y are measured in inches, to find the volume of the soup bowl.
Mary works due north of home. her husband Ray works due east. They leave for work at the same time. By the time Mary is 3 miles from home, the distance between them is one mile more than Rays's distance from home. How far from home is Ray?
Guy wires 80 feet long supporrt a 65-foot tall telephone pole. To the nearest degree, what angle will the wires make with the ground.
How far will the ball travel before it comes to rest on the ground?
Find the volume of a triangle with sides y = 2, y = x+1, y = 11-x. The vertices are (5, 6), (1, 2) and (9, 2). Find the volume by rotating about y-axis:
Using the SOA illustrative life table, with interest rate at 9.18% per year, calculate the expected present value of this benefit.
Find the long-term probability. D. The population can double, halve or stay the same. Find the probability of each of these events after a long time, and compute the geometric mean growth rate. Why does your answer make sense?
Calculate the probability that the rent of a randomly selected unit.
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