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- Find the tangent plane to surface 8x2 + y2 + 4z2 = 25 at the point ( 1, -1, 2 ).We have to find parametric equation for a line that is tangent (intersection) of the two fields below: −2x + 3y + 7z = −2 and x + 2y - 3z = −5.Find the area of the rotating surface that occurs by turning circle x2+y2=4 around line x=2 .
- Find the points on the hyperbolic cylinder x2 - z2 -1 =0 that are closest to the origin. please show all workingAbove xy planeA bee was flying upward along the curve that is the intersection of z = x⁴+xy³+12 with the plane x=1. At the point (1,–2,5), itu event off on the tangent line. Where do the bee hit the xz-plane?
- Evaluate This Integral if curve C consists of curve C₁ which is a parabola y=x² from point (0,0) to point (2,4) and curve C₂ which is a vertical line segment from point (2,4) to point (2,6) if a and b are each constant.Find the moment of inertia of the area of the loop y2=x2(1-x), with respect to y-axisHow do I find the bounds in which I integrate a curve that is rotated about an axis?