5. The transformation T:(x, y) → (x + y, y) preserves areas of figures even though it does not preserve distances. Illustrate this by drawing a square with vertices A(2, 3), B(4, 3). C(4, 5), and D(2. 5) and its image A'B'C'D'. Find the area and perimeter of each figure.

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Q: 3. Rhombus JKLM with vertices J-4,7), K(0, 8), L(-1, 4), and M(-5, 3): (x, y) → (x+2, y- 2)

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Q: Evaluate O F.dT where +(3y %3D y + 1 and C is the triangle with vertices: (0,0), (6,0), (3, 5).

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Q: 52.The parallelogram A B C D is placed such that : A (5,2), B (9.5, 8), C = (xc, Yc), D (xd ,Yd).…

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Q: 1. If 4 = xy i+yzj+zxk, find curl4 and curl curl A at points (1,2, –3).

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Q: (y – 2)² Draw a contour map of z = r² + using k = 0, 1,2, 3, 4, then sketch its graph in 9 R³.

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Q: If C is the square with vertices (+1, ±1) oriented counter- clockwise, then -y dx + x dy =

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Q: tices of ΔA'B'C produced by T−3, 6 (ΔABC) = ΔA'B'C?   A. A′(0, 6), B′(0, 4), C′

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