Find the projection of v onto u. 1 -AHD V = 1 proj (v) = U = Draw a sketch. O -4 8

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Q: Prove that (Z O Z)(a, 0)) × {(0, b))) is isomorphic to Z, O Z,.

A: To Prove: Z⊕Z/a, 0×0, b is isomorphic to Za⊕Zb.

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Q: 5. Solve the following equations (a) Log(2²-1) = (b) e²= + e² + 1 = 0; (c) z+1-i = 0 (here z denotes…

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A: Given: G is a finite group with more than one element. To Show: G has an element of prime order.

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Q: Sketch the graph of the function. f(x, y) = sin(x) ۱۲۲۰۱ ۲۲

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Q: [3.7] Consider the following linear programming problem: Maximize 2x₁ + subject to 2x₁ + XI X1, x2…

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Q: (c) 2ry'y-y²+²=0.

A: 2xy'y-y2+x2=0⇒2xyy'=y2-x2

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