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The curve for x=sqrt(In(y)) for 1<=y<=4 is rotated around the y-axis to form a container. The container is filled with a fluid that weights 80ib/ft^3. Length unites for x and y are in feet.
(a) Set up a definite integral (with respect to y) for the work (in ft-lb) required to empty the container by pumping all of the fluid to the top of the container. (Note: Do not use the acceleration due to gravity; pounds are already a unit of force.)
Estimate the pulse rate for young males( less than 30 Years), a sample of pulse rates
If the water level is rising at a rate of 20 cm/min when the height of the water is 2 m, find the rate at which water is being pumped into the tank.
An object is thrown upward from the top of a 112-foot building with initial velocity of 96 feet per second.the height of h of the object after t seconds is given by the quadratic equation h =-16t^2+96t+112 when will the object hit the ground?
Evaluate critical points, end points, local extrema and global extrema - Evaluate f at its critical points and at the endpoints of the given interval. Identify local and global maxima and minima of f in the interval.
If 3 Senators are selected at random to head the committee, what is the probability that they will all be Republicans? What is the probability that they will all be Democrats? What is the probability that there will be 1 from each party, including..
A machinist can produce 114 parts in 6 minutes .At this rate , how many parts can the machinist produce in 15 minutes.
The 150 grams of uncooked pasta was added and then weighed after a given period of time by lifting the pasta from the pot via a built-in strainer. The results (in terms of weight in grams) for two replicates of each type of pasta and cooking time ..
An airplane can fly 650 miles with the wind in the same amount of time as it can fly 475 miles against the wind. If the wind speed is 40 mph, find the speed of the plane in still air.
A spherical weather balloon is being inflated. Beginning at 25 cm, the radius of the balloon is increasing at the rate of 4 cm per second. Express the surface area of the balloon as a function of time t.
A rocket is launched from atop a 95-foot cliff with an initial velocity of 119 ft/s.
Important information about Sets and Probability, A marble is drawn from a box containing 3 yellow, 4 white, and 8 blue marbles. Find the odds in favor of drawing the following.
A two factor analysis of variance produces SSA = 20, SSB = 40 and SSAxB = 90. For this analysis, what is the value for SSbetween treatments?
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