Problem 5. Consider the function f(m, y) : 6'12'92 and assume that x:a:(s,t):s+t y:y(s,t): 2st. 1 PROBLEM SET 6: DUE Wa'DNaSDAY, NOVEMBER. 2ND 2 What is 85; at the point (5,73) : (1,1)? Problem 6. Let S be the surface given by the equation 233+x3yasey+3:0. Find the equation of the tangent plane to S at the point (1, 1, e 4). (Hint: write the equation of S as z : f(:r, y)) Problem 7. The length and width of a rectangle are measured as 30 cm and 24 cm, respectively, with an error in measurement of at most 0.1 cm in each. What is the maximum error in the calculated area of the rectangle? Problem 8. Consider the function 2 f(:1:, y, z) : 2731223 + arcsin($2\\/E) + 61212 . Find film