Suppose that v1,..., Um is linearly independent in V and wE V. Prove that dim span(v1 + w,..., Vm + w) >m – 1.

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Q: x, + 2x, + 2x, + 2x, = 2 2x, + 4x, +8x, +6x, = 5 3x, + 6x, +10x, + cx, =7 %3D

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Q: Write the integral that would be used to find the area bounded by y = x2 + 1, y = x - 2, x = -2 and…

A: Given that, the equations are y=x2+1,y=x-2,x=-2 and x=2. x2+1=x-2x2-x+3=0x=1±11i2     ∉ℝ Therefore,…