Let E be the tetrahedron with vertices (0, 0,0), (1,0,0), (0, 1, 0) and (0,0, 1).

Q: Evaulate ∫C▒1/sinzdz , Where C is the rectangle with vertices at -1-i, 8-i,8+i and -1+i oriented…

A: Consider the provided question, The given rectangle with vertices is drawn as,

Q: Calculate E∫x3dx1dx2dx3, where E is the vertex tetrahedron (0, 0, 0), (1, 1, 0), (1, 0, 0),(1, 0,…

A: The solution is given as follows :

Q: If two vertices of a triangle are (8,4) and (−2,2) and the centroid (intersection of the medians) of…

A: Let (x1,y1) , (x2,y2) and (x3,y3) are three vertices of a triangle the the coordinates of the…

Q: 7. Find the centroid of a triangle whose vertices are (2, 3), (-4, 6) and (2, -6). В. (0, -1) A. (0,…

A:

Q: na piece of paper, sketch this square. et up double integrals to compute the area of this region in…

A:

Q: △ABC△ABC has vertices A(0,4), B(6,-1), and C(3,7). What are the coordinates of C' when the triangle…

A:

Q: he coordinates of the vertices of quadrilateral HIJK re H(1, 4), I(3, 2), J(-1, –4), and K(-3, -2).…

A:

Q: Find all values of x so that the triangle with vertices A-(4, 4, x), B-(7, 6, 0), and C=(5, 5, 2)…

A: Here we have to find values of x for which area of triangle is 1.

Q: Find b and c so that y = 8x² + bx + c has vertex (7,5). b C =

A: Here given that y=8x2+bx+c and has the vertex at the point (7,5) since the line of symmetry is the…

Q: Compute ∮c (ydx+zdy+xdz) where C is the triangle with vertices (3,0,0), (0,0,2), and (0,6,0)…

A: The given points can be plotted as A(3,0,0) B(0,0,2) C(0,6,0)

Q: The triangle with vertices A(0, 1, 2), B(-1,0,2) and C(1,-2,0) has area = (ii)

A: A(0,1,2) B(-1,0,2) C(1,-2,0)

Q: calculate S S, y³ dA where Ris the vertex of the triangle (0, 2), ( 1,1) and (3, 2)|

A: In this question we have to calculate the following integral.

Q: Find b and c that Y= 8x2 +bx+c has vertex (4,0) b= c=

A:

Q: Triangle ABC with vertices A(0, 7), B(7, 3), and C(1, 4): (x, y) → (x – 3, y – 4) A' (__, B’(__. C'…

A: