A square (say C) is formed through the vertices z= 0, z=1, z =1+i and z=i, then evaluate ze dz .

Q: Find S. Re z?dz clockwise around the boundary of the square with vertices 0,j, 1 + j,1

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Q: e+y dA, A:= triangle with vertices (0;0), (1;0), (1,2);

A: Solution:- We have to evaluate the following integrals over the region A. ∫∫Aex+ydA, A=triangle…

Q: Given: AABC with vertices A(-6,-2), B(2,8), and C(6,-2). AB has midpoint D, BC has midpoint E, and…

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Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(8, 7,…

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Q: The parallelogram (ABCD) has vertices at A(2, -1, 4), B(1,0,-1), C(1,2,3), and D, then اخترأحد…

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Q: 6. Show that the diagonals of the square with the given vertices are congruent perpendicular…

A: The formula for the midpoints of (x1,y1) and (x2,y2) is x2+x12,  y2+y12 and the formula for the…

Q: A, B, and C are collinear points: Cis between A and B. If AC = 2x + 1, CB = 3x - 1, and AB = 35,…

A: Given that: A,B,C are collinear points C lies in between A and B

Q: Find the perimeter of a quadrilateral with vertices at C (-2, 1), D (2, 4), E (5, 0), and F (1, -3).…

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Q: Find the area of a parallelogram having the vertices P(1, 1, -1), Q(4, 2, 1), and R(6,3,1) O √13 O…

A: To find the area of a parallelogram having the vertices P1, 1, -1, Q4, 2, 1 and R6, 3, 1.

Q: e of the parallelepiped with the given vertices A, B, C and

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Q: If the endpoints of MN have coordinates of M(2,7) and N(-3,1), then the length of MN is closest to…

A: Given that the line MN has endpoints M(2,7) and N(-3,1) then we have to find length of line MN…

Q: find the perimeter of ABC with the given vertices 2. A(-2,3) B(-2,-3) C(3,0)

A: Perimeter of a triangle is the sum of lengths of the three sides. The length of a side is the…

Q: Prove a quadrilateral with vertices G(1,1), H(5,3), I(4,5) and J(0,3) is a rectangle

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Q: et D be the triangle with vertices (0,0), (1,0) and (0, 2). Compute ffp (e2y + 1) dA.

A: Given is the triangle D with vertices 0,0,1,0,0,2 The objective is to evaluate the integral ∫∫D…

Q: Given A (6, 1), B = (1, 3), and C = (4, 3), find a lattice point P that makes CP perpendicular to…

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Q: If EF is the perpendicular bisector of CD, find x.

A: Given,          EF¯ is the perpendicular bisector of CD¯ .

Q: 2. Triangle ABC with vertices A(0, 7). B(7, 3). and C(1, 4): (x, y)→ (x- 3, y – 4)

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Q: 2. Show that the points A(2,2,2), B(2,0,1), C(4, 1, – 1) and D(4, 3,0) are coplanar and that they…

A: The solution are next step

Q: Let a = C(7, 4), b = C(7, 5), c = C(7, 6), and d = C(7, 7). If there are 7 points on the plane, no…

A: Solution

Q: If x, y, and z are lengths of the edges of a rectangular box, the common length of the box's…

A: Length of rectangular box =x Breadth of rectangular box =y Height of rectangular box =z

Q: -dA where R is the triangle of vertices (0,0), (1.0) and (0, 1). answer: 0

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Q: Vaughn Pang sketched trapezoid RUIZ on a coordinate plane. RUIZ has vertices located at R(1,4),…

A: Given:In trapezoid RUIZR≡1,4U≡-2,0I≡7,0Z≡3,4To find:Perimeter of RUIZ

Q: Let R be the interior of the parallelogram with vertices (-3, 1), (-1,0), (–1,2), and (1, 1).…

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Q: Find b and c so that y = la? + bx + c has vertex (3, – 6). %3D

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Q: Suppose that A, B, and C are vertices of a triangle and that a, b, and c are, respectively, the…

A: Given problem:- Suppose that A, B, and C are vertices of a triangle and that a, b, and c are,…

Q: The parallelogram (ABCD) has vertices at A(2,-1,4), B(1,0,-1), C(1, 2, 3), and D, then اخترأحد…

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Q: Suppose ABCD and AB'C'D' are two squares in the plane that a) have rertex A in common, b) have the…

A: Let we have small letter corresponding to each vertex denotes the corresponding complex number.…

Q: In(x + y) dA where R is the triangle with vertices (1,0), (1,1), (0, 1).

A: Let - I=∫∫Rln(x+y)dA Where R is triangle with vertices (1,0),(1,1),(0,1) Equation of line joining…

Q: 10 11 3 vertices at a parallelograni AaCD are shown in the appiet What are the coordinates of point…

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Q: Verify that the points A(0, 3, 2), B(1, 5, 5), C(6, 9, 5), D(5, 7, 2) are the vertices of a…

A: Given points are A(0,3,2), B(1,5,5), C(6,9,5), D(5,7,2).

Q: Consider the following quadrilateral with diagonals AC y DB that intersect at point E, furthermore,…

A: Using ASA criteria we can solve this

Q: Evaluate O ry*da + x°dy, where C is the rectangle with vertices (0,0), (1,0), (1,5), and (0,5)

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Q: Verify that the points A(2, −3, 1), B(6, 5, −1), C(7, 2, 2), D(3, −6, 4) are the vertices of a…

A: Given: The points A2,-3,1, B6,5,-1, C7,2,2, D3,-6,4.

Q: The middle points of the three diagonals of a complete quadrilateral are collinear. Let ABCD be the…

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Q: what is the area of ABC with vertices a (4, 1), b (2,-1), and c (-2, -1)?

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Q: Alicia believes the net below folds into a square prism.

A: To write that it is square prism or not

Q: Solve the following problems completely. If there are seven distinct points on a plane with no…

A: Given: Total number of points is, n=7. No three points are collinear. The objective is to find the…

Q: Find the coordinates of the orthocenter of a triangle with vertices at each set of points on a…

A: Given that: (1, 5), (6, 10), (0, 16)

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(7, 2,…

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Q: Let ABCD be a convex quadrilateral, and let M be the intersection of its diagonals AC and BD.…

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Q: (c) For a simple cubic lattice of side a, show that d? = .

A: Figure of an (hkl) plane at a distance d from another similar parallel plane passing through…

Q: A triangular frame, AXY, is leant against a wall as shown in the diagram. ZXAY= 90° and ZCAY= 0°,…

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Q: Show that the points E(2, 2, 2), F(2, 0, 1), G(4, 1, -1) and H(4, 3, 0) are coplanar and that they…

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Q: 3. Evaluate y dA, where D is the triangle with vertices (2,0), (1,2), and (0, 2).

A: The question is from Advanced Calculus

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(7, -3,…

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Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(2,…

A: Given points, A(1,1,3) B(2,7,1) C(4,10,-6) D(3,4,-4) Let a,b,c,d, are position vectors of point…

Q: A 4. Isosceles trapezoid ABCD has legs AB and CD, and base BC. If AB = 6y- 6, BC = 4y – 7, and CD =…

A: topic - quadrilaterals

Q: Find the Euler's theorem to find the number of vertices in each polyhedron .6 faces that are all…

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Q: Show that the quadrilateral with vertices P(1,2) Q(4,4), R(5,9), and S(2,7) is a parallellogram by…

A: The given vertices of the quadrilateral are: P(1,2) Q(4,4), R(5,9), and S(2,7) Since the diagonal of…

Q: Prove that if two pairs of opposite edges of a tetrahedron are perpendicular, then the third pair is…

A: Consider the tetrahedron  ABCD and let two pairs of opposite sides are perpendicular. Consider the…