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Mathematics Clinic => Calculus => Topic started by: NguyenJ on Jun 16, 2021

Title: If (a, b) is a critical point in the interior of the domain of f(x, y) and ifthen f has a local ...
Post by: NguyenJ on Jun 16, 2021

Question 1

Write an "area" word problem for which finding the solution would involve evaluating the double integral

 

Question 2

If (a, b) is a critical point in the interior of the domain of f(x, y) and if  then f has a local minimum at (a, b) if

 I.   D > 0 and fxx(a, b) > 0.
 II.  D > 0 and fxx(a, b) < 0.
 III. D < 0.
◦ I, II, and III are all incorrect.
◦ Only II is correct.
◦ Only I is correct.
◦ Only III is correct.

Title: If (a, b) is a critical point in the interior of the domain of f(x, y) and ifthen f has a local ...
Post by: angrybirds13579 on Jun 16, 2021

Answer 1

Find the area of the region bounded by the curve y = x2 and the lines 
      Find the area of the region bounded by the curve y = x2 and the lines   and x = 5.

Answer 2

Only I is correct.