id with vertices (0,0,0), (0,1,0), (11,0), Evaluate /sin(y3) dV where S is the pyram (1,1, 1)...
Evaluate the triple integral SSST x2dv, where T is the solid tetrahedron with vertices (0,0,0), (1,0,0), (0,1,0), and (0,0,1)
2. Let S be the interior of the triangle with vertices (0,0,0), (1,0,0) and (0,1,0). a) Given F(x, y, z)=(x+1)i +(y+1)] +(2+1)k, calculate the flux of through S without using an integral b) F(x, y, z) = (z+1)7 +(y+1) 7+(x+1)k , set up an iterated integral in dx dy or dy dx to calculate the flux of F through S. You do not need to evaluate your integral
sin()ddy, where the boundary of R is the trapezoid 2. Evaluate with vertices (1,1), (2,2), (4,0), (2,0). Use change of variables u y-x, vy+x.
sin()ddy, where the boundary of R is the trapezoid 2. Evaluate with vertices (1,1), (2,2), (4,0), (2,0). Use change of variables u y-x, vy+x.
Let S CR be the tetrahedron having vertices (0,0,0), (0,1,1), (1, 2, 3), and (-1,0,1). Let f: R3 R be the function defined by f(x,y, x) = x - 2y + 3z. Using the change of variables theorem, rewrite Ssf as an integral over a 3-rectangle, then use Fubini's theorem to evaluate the integral
Let S CR be the tetrahedron having vertices (0,0,0), (0,1,1), (1,2,3), and (-1,0,1). Let f : R3 +R be the function defined by f(x, y, z) = 1 - 2y + 3z. Using the change of variables theorem, rewrite Is f as an integral over a 3-rectangle, then use Fubini's theorem to evaluate the integral
Let S CR be the tetrahedron having vertices (0,0,0), (0,1,1), (1,2,3), and (-1,0,1). Let f: R3 → R be the function defined by f(x, y, z) = 1 - 2y + 32. Using the change of variables theorem, rewrite Ss f as an integral over a 3-rectangle, then use Fubini's theorem to evaluate the integral (8 points).
Evaluate the triple integral ∭ExydV∭ExydV where EE is the solid tetrahedon with vertices (0,0,0),(10,0,0),(0,10,0),(0,0,3)(0,0,0),(10,0,0),(0,10,0),(0,0,3).
Evaluate the triple integral. JJJr Oya, where is the solid tetrahedron with vertices (0,0,0), (1,0,0), (1,1,0), and (1,0,4).
Don't give the same solution.
Let S CR be the tetrahedron having vertices (0,0,0), (0,1,1), (1,2,3), and (-1,0,1). Let f: R3 +R be the function defined by f(x, y, z) = 2 - 2y + 3z. Using the change of variables theorem, rewrite Js f as an integral over a 3-rectangle, then use Fubini's theorem to evaluate the integral
I can't follow the answer please explain.
7. (a) Consider the rectangle S in R3 with vertices (0,0,0), (1, 1,o), (a.1,2), and (0,0,2). Give a parameterization of S of the form r(u, v) where 0susland 0s v s1. (2 points) 2 1,2) 刁ㄚ r(u, u) = , u
7. (a) Consider the rectangle S in R3 with vertices (0,0,0), (1, 1,o), (a.1,2), and (0,0,2). Give a parameterization of S of the form r(u, v) where 0susland 0s v s1. (2...