Question 14 1 pts Evaluate the double integral over the given region. xy sin x2 dA, R: ASXS, R 12 , 0 sys 1 O - 4/T O - 1/4 O TC/ 4 O - TU/ 4Question 13 1 pts Find the linear approximation of the function at the given point. f(x, v) = -3 sin x + 5 cos y at (0, O L(x, V) = -3x - 5y +7Question 15 1 pts Write an equivalent double integral with the order of integration reversed. 10 X dy dxQuestion 11 1 pts Provide an appropriate response. Find the direction in which the function is increasing most rapidly at the point Po. f( x, y) = xy2 - yx?, Po(-1, 2) it 8 189 O O (8 /89) i- (5 /89) j