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ESTION 2 Green's theorem is used to- yet answered rked out of 2 Flag astian Select one: O A. Transform surface integrals into line integrals. O B. Transform double integrals into triple integrals in a region R. C. Transform the line integral in the xy-plane to a surface integral in the same xy-plane. O D. None of the other choices.

UESTION 3 at yet answered If f(x, y) = x3 + y3 – 3x – 12y + 20,, then f has extreme value at .... arked out of 2 Flag estion Select one: O A. (1,1) O B. (0.0) O C. (1,2) O D. (2.1)

QUESTION 4 Not yet answered Marked out of 2 Find values of b such that the vectors < -11,6, 2 > and < 6,62,6 > are orthogonal (a) 0, 3, -3 (b) 0, 11, 3 (c) 0,-11, 2 (d) 0, 2, -2 (a) 0, 11, 2 Flag question Select one: O a. <<< O b.«<< OC << O d. < O e. «

TION 5 4 answered d out of 2 Flag on Let F = x²yê + xy-. Then ScF. d f along the curve x = y from the point A(0,0) to B(1,1) is (A) (B) (C) – 37 (D) 33 Select one: O A <<< O B. <<< о C. <<< OD <<<

Let 'A' be the area of the plane region R bounded by closed curve C. Then by Green's theorem 2A= (A) Ž Sc(-y dy+« dx) (B) fc(x dy – y dx) (C) $c(y dy + « dx) (D) į $c(-y dx + x dy) Select one: OA <<< O B. <<< O C. << O D. <<