2. A bug is crawling along the surface defined by x3 + y?z – z³ = 5. The bug is currently at the point (2, –2, – 1). (a) If the bug moves along the surface by increasing its y-coordinate and keeping x = 2, then how quickly is its z-coordinate changing? (b) If, instead, the bug moved from (2, –2, –1) along the surface by increasing its z-coordinate, and keeping y = -2, then how quickly is its x-coordinate changing?

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