Question : 101) A) 1 B) π C) 0 D) π/2 102) f(x, : 1757191

101)

A) 1 B) π C) 0 D) π/2

102) f(x, y) = x²y + xy²/x² + y²

A) 1 B) 2 C) 0 D) No limit

103) f(x, y) = x + y/x² + y + y²

A) 2 B) 0 C) 1 D) No limit

104) f(x, y) = cos x²/x² + y²

A) 1 B) 0 C) π/2 D) No limit

105) f(x, y) =

A) 1 B) π C) 0 D) -1

106) f(x, y) =

A) 1 B) π C) π/2 D) No limit

107) f(x, y) =

A) 0 B) π C) 1 D) No limit

108) Define f(0,0) in a way that extends f(x, y) = x²y²/x² + y² to be continuous at the origin.

A) No definition makes f(x, y) continuous at the origin.

B) f(0, 0) = 0

C) f(0, 0) = 2

D) f(0, 0) = 1

109) Define f(0, 0) in a way that extends f(x, y) = 7x² - x²y + 7y²/x² + y² to be continuous at the origin.

A) f(0, 0) = 7 B) f(0, 0) = 2 C) f(0, 0) = 14 D) f(0, 0) = 0

110) f(x, y) = 10x - 3y² - 2

A) ∂f/∂x = 8; ∂f/∂y = -6y - 2 B) ∂f/∂x = -6y; ∂f/∂y = 10

C) ∂f/∂x = 10x; ∂f/∂y = -6y D) ∂f/∂x = 10; ∂f/∂y = -6y