Use Stokes' Theorem to evaluate â«â«S^F · dS. F(x, y,z) = xyz i + xy j + x^2yz k S consists of the top and four sides (but not the bottom) of the cube with vertices (±4,±4,±4), oriented outward.

Suppose a triangle has two sides of length 32 and 35, and that the angle between these two sides is 120°. which equation should you solve to find the length of the third side of the triangle?

Examine the paragraph proof. which theorem does it offer proof for? prove jnm – nmi according to the given information in the image. jk | hi while jnm and lnk are vertical angles. jnm and lnk are congruent by the vertical angles theorem. because lnk and nmi are corresponding angles, they are congruent according to the corresponding angles theorem. finally, jnm is congruent to nmi by the transitive property of equality alternate interior angles theorem gorresponding angle theorem vertical angle theorem o same side interior angles theorem

Factor the following polynomial completely 514 + 2013 - 1052 oa. 5121 + 3)( - ) ob. 51%(1 - 3)(1 + 7) oc. 5198 - 3)(x + 7) od 51%(+ 3)(x - 7)