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Compute the integral of f(x,y,z) =y2over the region within the cylinderx2+y2=4where0≤z≤y
derive the normal equation for fitting the trigonometric curve, p(x) = ao + a1 cos(x) +b1 sin(x)
Use the methods of this section to find an equation for the plane tangent to the surface defined by the equation 3xy + z2 - 4 = 0 at the point (1, 1, 1).
how long does it take to commute from home to work? it depends on several factors including route traffic and time of
A boat travels 3 km upstream and 3 km back. The time for the round trip is 8 hours. The speed of the stream is 2 km per hour. What is the speed of the boat in still water?
let s be the solid obtained by intersecting two cylinders of radius r whose axes intersect at an angle theta. find the volume of S as a function of r and theta.
Set up the double integral in polar coordinates that calculates the volume of the given solid. Do not evaluate the integral. Below the paraboloid z = 8 - 2x2 - 2y2 and above the xy-plane.
a company compiled information about the gender and working status of its 420 employees as shown belowmalenbsp - 210
From this information, we can determine the following information about the amount remaining in a toothpaste tube without invading anyone's privacy.
What is the volume of the smallest solid cube that can be made by stacking any number of these cuboids but each cuboid is stacked in same orientation?
1. A rock is thrown upward from the edge of a cliff. The rock follows the equation below.s = 36 + 64t - 16t^2What is the greatest height above the ground that this rock will go?
A cylindrical tank of radius 3ft and height 10ft is filled with 2ft of a liquid whose density is 40lb/ft3. Set up the intgeral for finding the work done in pumping all the liquid through a 2ft pipe sticking out of the top of the tank.
The electricity costs of a business increased from $15,000 one year and $16,000 the next. To the nearest whole percent, what was the rate increase?
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