dw Find ду dw and dy at the point (w, x, y, z) = (4, - 1,1,1) if w = 4x²y² + 4yz – 4z° and x? +y? +z? = 3. dw ду (Simplify your answer.) dw dy (Simplify your answer.)

Q: Find a parametric equation for the line that passes through points A (3,-2,4) and B (5,6,-2). x = 3+…

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Q: Find u+v-2u. U= = (5, 3) and v = (-3,5) u+v-2u=

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Q: Find the angle between lines AB and AC where the point A(4,4,1), the point B(−4,7,7), and the point…

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Q: 6x Find -dA, where R is the parallelogram enclosed by the lines 4x – 3y 6x – y = 0, 6x – y = 9, – 4x…

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Q: Find an expression for the exact angle 0 between u and v when = (4,7) and v = (-5, 8). (3, –1, 1)…

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Q: Find u · v. u = (7, 12) v = (-4, 5) u v =

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Q: Sketch the vectors = (2, 3,-6) and w = (-1,1,1) and draw -U, v + w and 7 - w.

A: The given vectors are

Q: 3. If a = 3x - 5y and b=-2x+9y, write the vector 5a-8b in terms of x and y

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Q: Which of the following are true for A = {(1, 1), (1, 2), (1, 3), (1, 4), (2, 1), (2, 4), (3, 2), (4,…

A: The given set is .The aim is to justify .

Q: What are the coordinates of B' if triangle ABC is reflected over the y-axis? 3 C 54 -2 23 4 5 6x -1…

A: In the given triangle ABC, co-ordinates of A, B & C are- A1,4,B4,2,C1,2