MAT 218 Midterm: MATH 218 Princeton 218 S Midterm 01 02

Find the component form of the unit vector obtained by rotating the vector (0, 1) 150 degree counter clockwise about the origin. Choose the correct answer below. ( 2/2, - 2/2) (1/2, 3/2) ( 2/2, 2/2) ( - 3/2, - 1/2) ( - 2/2, 2/2) ( - 1/2, - 3/2)

Find the degree 2 Taylor polynomial of f centered at x = 2 when f(x) = 5x In x. 10ln2 + 5(In2 + l)(x - 2) + 5/4(x - 2)2 10 + 2 1n5(x-2)+5/4(x-2)2 10 + 51n2(x-2) + 5/2(x-2 )2 10ln2+5(In2 + l)(x - 2) + 5/2 (x - 2)2 10 + 5(ln 2 + l)(x - 2) + 5/4(x-2)2 101n2 + 51n2(x-2) + 5/4 (x-2 ) 2

The stationary points of the function f(x, y) = xy2 + x2 + 2y2 - 8 are: (0, 0), (-2, -2), (2, -2) (0, 0), (2, 2), (-2, 2) (0, 0), (-2, 2), (-2, -2) (0, -4), (-2, -2), (-2, 2) none of the above