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2. Find a normal vector to the surface xyz = yz-1 at the point (7,3,2). Then find the equation of the tangent plane at
2. Find a normal vector to the surface xyz = yz-1 at the point (7,3,2). Then find the equation of the tangent plane at this point. 3. Let R be the region in the ry-plane bound by the lines + y = 2, y = 2, and y = 5. Set up a single f(x,y) dA using the order of integration dr dy or dy dr (whichever one is iterated double integral to compute R appropriate). Then compute the double integral using the function f(x, y) = x. 4. Reverse the order of integration and evaluate the integral: 3e(3) dx dy. 5. Consider the region R bound the line y = -x, the x-axis, and curve y = 25-2. (This is a "wedge" contained in the second quadrant.) Write R in set-builder notation using polar coordinates: R={(r,0) rs. _ and
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