Consider the parabaloid given by z = 3+x2 + 5y². a. Assume that you are standing on this parabaloid at the point (3, -1, 17) , which direction should you travel for the steepest ascent? b. What is the rate of change at that point?

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Consider the parabaloid given by z = 3+x2 + 5y².
a. Assume that you are standing on this parabaloid at the point (3, -1, 17)
, which direction should you travel for the steepest ascent?
b. What is the rate of change at that point?
Transcribed Image Text:Consider the parabaloid given by z = 3+x2 + 5y². a. Assume that you are standing on this parabaloid at the point (3, -1, 17) , which direction should you travel for the steepest ascent? b. What is the rate of change at that point?
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