Let E = (2xy²2, 2x²y, z² + 8). (a.) Let P = (1, 0, 0) and Q = (2, 3, 6) and R - (0, 0, 7). If T is the triangle formed by line-segments from P to Qto R then set-up and calculate E-dr by explicit calculation of the line-integrals from the definition. T (b.) Show that F is conservative on R³. (c.) Explain why the calculation from part (a.) makes good sense in view of (b.).

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