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50 (1 point) The density of oil in a circular oil slick on the surface of...
(1 point) The density of oil in a circular oil slick on the surface of the ocean at a distance of r meters from the center of the slick is 50 given by S(r) kilograms per square meter. Find the exact value of the mass of the oil slick if the slick extends from r= 1+r2 to r = 11 meters. 0 Mass = Include units in your answer.
A circular oil slick is expanding with radius, r in yards, at time t in hours given by r=2t-0.1t^2, for t in hours, 0<t<10. find a formula for the area in square yards, A= F(t), as a function of time.
(1 point) A disk of radius 4 cm has density 14 g/cm2 at its center, density 0 at its edge, and its density is a linear function of the distance from the center. Find the mass of the disk. mass = (Include units.) (1 point) A disk of radius 4 cm has density 14 g/cm2 at its center, density 0 at its edge, and its density is a linear function of the distance from the center. Find the mass of...
4. Find the center of mass of a homogeneous solid right circular cone if the density varies as the square of the distance. (from apex) 5. Find the center of gravity of a very thin right circular conical shell of base-radius r and altitude h.
(1 point) A rod has length 5 meters. At a distance x meters from its left end, the density of the rod is given by S(x) = 1 + 3x g/m. (a) Complete the Riemann sum for the total mass of the rod (use Dx in place of Ax): mass = (b) Convert the Riemann sum to an integral and find the exact mass. OPP mass = (include units)
how is this done? urgent. (1 point) Find the center of mass (r, of the lamina which occupies the region if the density at any point is proportional to the distance from the origin x= 0 (1 point) Find the center of mass (r, of the lamina which occupies the region if the density at any point is proportional to the distance from the origin x= 0
Problem 18.87 Drops of an oil that has a mass density of 700 kg/m are released from a broken undersea oil pipe that is 1300 m below the ocean surface. Use 1000 kg/m for the mass density of ocean water Part A If the drops have an average diameter of 100 m, how long do they take to rise to the surface? Hint. The drops quickly reach terminal speed and experience a viscous drag force of magnitude F (0.0200 Pa...
Given a circular disk of charge with surface charge density ρs and radius a in the xy plane with the center located at the origin, see figure. Find the vector electric field at a point P (0,0,h) induced by the circular disk. Evaluate the vector electric field at P when a→∞
A solid right circular cone has radius 2 and height 4. Suppose the density of the cone above has a density that varies as the square of the distance from the base. Find the center of mass.
5. Using a surface integral calculation, find the current (in Amps) in a circular wire given a current density of)s 15(1-e-1000r)ez Amps/㎡ . That is, J has a magnitude of 15(1-e-1000r)as it is a function of distance r from the center to the outer surface. J points in the z direction. Draw the wire in a diagram with the cylindrical coordinate system and solve for I using a double integral. Hint- what is the surface area of the end of...