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1.) use the shel method to find the volume of the solid generated when the region bounded by y= x^5, y=12 and x=0 is revolved about the x- axis?
2.)a tank on a water tower is a sphere of radius 20 meters. Determine the depth of the water when the tank is filled to two thirds of its total capacity
3.) find the center of mass of the lamina of uniform density (rho symbol)bounded by the graph of f (x)=4-x^2, and the x-axis
4.)find the centroid of the region bounded by the curves: y=2x-x^2, y=1,x=0.(Assume uniform density, rho.) This shape is called a parabolic spandrel.
ernie thayer hits a baseball and it travels 409.6 feet before it lands . when he hits the ball the ball is betweem 2
Find a counter example to the statement: The cube of a number added to the sum of three times the number and 3 is a prime number.
What is the slope of a line that is perpendicular to it?
Write the expression for K for the reaction for the folowing:Co2(CO3)3(s) 2 Co3+(aq) + 3 CO32-(aq)Cu(NH3)4+(aq) = Cu+2(aq) + 4 NH3(aq)
A package delivery company has determined that they can meet their schedules if they have 4 drivers for every 30 square miles of area they cover. If they want to offer service to a county of 75 square miles, how many drivers must they have?
it has been found that 50.3 of us households own stocks and mutual funds. a random sample of 300 heads of households
Find the x-coordinate of the points of inflection of f(x) = 47 + 13x + 18x^ 2 + 4x^ 3 - x^ 4
A random variable y has a Rayleigh distribution, if and only if its probability distribution is given by:f(y)=2(alpha)y^(-alpha y^2) , y>0 and alpha>0
A constant force F= -3i + 8j +10k moves an object along a straight line from point (-6, -5, -4) to point (-3, 1, -6). Find the work done if the distance is measured in meters and the magnitude of the force is measured in Newtons.
to find the rate of increment in the height of conical pile at a particular point using differentiation.sand is poured
Determine the survival function and force of mortality of this distribution and determine the actuarial present value of a payment of 1, 000 at the moment of death of (x) providing that (y) is still alive , using δ = .04.
A sample of 12 measurements has a mean of 24 and a standard deviation of 2.5. Suppose that the sample is enlarged to 14 measurements, by including two additional measurements having a common value of 24 each.
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