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Let F=(2x,2y,2z) . Use Stokes' theorem to evaluate the integral of F around the curve consisting of the straight lines joining the points (1,0,1), (0,1,0) and (0,0,1). In particular, compute the unit normal vector and the curl of as well as the value of the integral
Either use the p-value approach to hypothesis testing or use the significance level approach with α = .05.
Superman, The Flash, The Green Lantern, Batman, and Wonder Woman went out to lunch. Wonder Woman went to the ladies room just before the meal was brought out by the waiter.
Also, suppose the obstruction is a square, 1m on a side, and is parallel to the screen. Express the area of the shadow as a function of the distance from the light to the obstruction.
If you are 22 years old, deposit $7,825 each year into a traditional IRA for 48 years at 11% interest compounded annually, and retire at age 70, how much money will be in the account upon retirement?
Find the firing angle in degrees of a projectile fired at an initial velocity of 100 feet per second so that it strikes the ground 312.5 feet from the firing point.
Let S be the part of the plane 3x + 1y + z = 4 which lies in the first octant, oriented upward. Find the flux of the vector field F = 1I + 2J + 2K across the surface S.
A metal storage tank with a mximum volume of 1200 m^3 is to be constructed in the shape of a right circular sylinder surmounted by a hemisphere. What radial and height dimensions will require the least amount of material?
After the plane travels three miles along this flight path, how high (in feet) is it above the ground?
a company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 60ft^3. what dimensions yield the minimum surface area?
a bowl is shaped like a hemisphere with diameter 30 sm. A ball with diameter 10 cm is placed in the bowl and water is poured into the bowl to a depth of h centimeters. Find the volume of water in the bowl.
An overnight delivery service accepts packages of up to 165 inches in length and girth combined. (Girth is the distance around the package.) A package has a fixed girth of 53 inches. Determine (in terms of an inequality) those lengths for which a ..
If the wages per hour are $10, $15, and $18 for low, medium, and high skilled, respectively, how many of each type should be hired to minimize total hourly wages?
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