Let S be the surface of the cylinder bounded by x2+y2=4 and the planes z=0 and z=3, with closed top and open bottom. Let F(x, y,z)=(x3+3xy2)i+(xz+arctanz)j+xz2k. Find ∬SF⋅dS, where S is oriented outward. [Hint: S is not a closed surface. Also consider the integral of F over the missing bottom of S (with downward orientation) and apply the Divergence Theorem.]

Can someone tell me if this is perpendicular? !

Fixed rate mortgage offer: purchase price: $170,000 down payment ($34k): 20% term: 30 years interest rate: 4.25% property tax (yearly): $1,500 homeowner’s insurance (yearly): $1,000 use this example from a fixed-rate mortgage calculator to you answer the questions. keep the page open after you complete this question. according to the calculator, the monthly payment demarco and tanya should anticipate paying for principal and interest is $208. $877. $669. $1,200.

Consider the equation  y−2=3(x+2).which option correctly identifies the point and slope from the equation and also provides the graph that correctly represents the equation?