Let B be the solid sphere of radius 1 centered at the origin;let T be the top half of

Chapter 16, Problem 39

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Let B be the solid sphere of radius 1 centered at the origin;let T be the top half of the sphere (z 0); let R bethe right half of the sphere (x 0).(a) Without calculation, decide which of the followingintegrals are zero. What are the signs of the others?(i) -B dV (ii) -T zdV (iii) -R zdV(b) Evaluate, numerically where necessary, any of thethree integrals that is not zero.

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