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Evaluate the following integrals:
(a)
(b)
(c)
(d)
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- Let vectors A→ =(2,−4) and B→=(−3,1).Calculate the following: (A) A→ * B→ (B) what is the magnitude of A→ (C) what is the magnitude of B→ (D) what is the angle θAB between A→ and B→arrow_forwardFind the mass of the solid bounded by the planes x+z=1, x-z=-1, y=0, and the surface y=√z. The density of the solid is 20y + 19. The mass of the solid is. (Type an integer or a simplified fraction.)arrow_forward(b) Sphericals x=r sine coso y=r sine sino z=r cose Consider spherical coordinates as defined by their relationships to the Cartesian coordinates: x =r sin 8 cos p X2 =r sin 0 cos X3 =r cos 0 r2 = [xỉ + x3 + x e = tan-(x? + x3)x3 $ = tan-(x2/x1) orarrow_forward
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- Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning