A ladybug (who is very sensitive to temperature) is crawling on graph paper. She is at the point (3,7) and notices that if she moves in the i-direction, the temperature increases at a rate of 3 deg/cm. If she moves in the j-direction, she finds that her temperature decreases at a rate of 2 deg/cm. In what direction should the ladybug move if
(a) she wants to warm up most rapidly?
(b) she wants to cool off most rapidly?
(c) she desires her temperature not to change?
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