Show that these are homomorphisms. Are they inverse to each other? (a) d/dx: P3 P2 given
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(a) d/dx: P3 → P2 given by a0 + a1x + a2x2 + a3x3 maps to a1 + 2a2x + 3a3x2
(b) ∫ P2 → P3 given by b0 + b1x + b2x2 maps to b0x + (b1/2)x2 + (b2/3)x3
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