consider surtace S with paramtrization. Gcu,v) = cu,V,uv) , tuts of s also compute the surface areu
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A: Let us consider the parallelepiped with adjacent edgesu = 3i + 2j + kv = i + j + 2kw = i + 3j + 3k…
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A: The given equations are, u=9i+6j+k v=i+j+7k w=i+6j+6k.
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Q: Consider the parallelepiped with adjacent edges u = 9i + 5j + k v = i+j+ 3k w =i+ 6j + 4k Find the…
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Q: Consider the parallelepiped with adjacent edges u = 4i + 7j + k v = i+j+ 6k w = i+ 4j + 9k Find the…
A: The adjacent edges of the parallelepipedu=4i+7j+kv=i+j+6kw=i+4j+9k
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- Which of the following conditions do not have to be met to prove two solids have equal volumes using Cavalieri's principle?sketch, set up and solve the area of the portion of R(u,v) = <2u − v,u,3v> traced by points (u,v) satisfying u^2 + v^2 ≤ 4.The centroid of an obtuse triangle is outside the triangle. true or false?
- Compute (see picture), where vector f = <x2+y, 3x - y2> and C is the (piece-wise smooth) positively oriented boundary curve of a region D with area 6.Are ABCD and JKLM congruent? If so, describe a composition of rigid motions that maps ABCDto JKLM. If not, explain.apply the green theorem to calculate the integral: C: the triangle bounded by x = 0, x + y = 1, y = 0
- Evaluate the line integral ∫Cx^3z ds, where C is the line segment from (0,3,8) to (8,4,6).A triangle is bounded by the lines y = x, y = -x, and y = 1 When setting up an intergral to find mass or inertia or whatever, why can I not set it up as integral(1, -1) integral(1, x) dydx and instead need to set it up as integral(1, 0) integral(y, -y) dxdyProve that a contant ,x ,x^2 are integrable on [a,b]
- 19. A research facility is located at the centroid of the triangle made by highways connecting three towns as displayed.Use the method of disks to rotate a circle of radius r around the x axis and prove that a sphere of radius r has volume equal to (4/3)(pi)(r^3).If the path defined by z(x) from points C to W were rotated about the x-axis, what would be the volume of the corresponding solid of revolution created? Be sure to show all work.