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...Partial derivatives suggestedreferencematerial asyouworkthroughtheproblemslistedbelow youshouldreference chapter of the rec ommendedtextbook ortheequivalent in your alternative textbook online resource and lecture notes expectedskills be able to compute rst order second perform implicit dierentiation solve various word problems involving rates change which use practiceproblems a portion surface dened by z f x y is shown below tangent lines this gure calculate values at point for nd all exsiny excosy tan xcos cos xsin xysin p let w xz yz consider xy determine suppose sin such that simultaneously yx ln xx yy s find slope line curve intersection plane detailed solution here b set parametric equations whose you computed part there are many possible parameterizations one possibility t c d e an equation hint contains both from parts closed rectangular box instantaneous rate volume with respect width if length l height h held constant instant when andh area direction points zxsin xzsin laplac...