Determine whether the following statement is TRUE or FALSE. * 2 points Suppose f is a function of x and y whose domain is defined in an open region R, then we say that f is differentiable in R. O TRUE O FALSEDetermine whether the following statement is TRUE or FALSE. * 2 points TRUE or FALSE. If g and h are continuous functions of x and y and f (x, y) = g(x) h(y)' then f is continuous. O TRUE O FALSEDetermine whether the following statement is TRUE or FALSE. * 2 poi-v TRUE or FALSE. The function f(x,y) = i is discontinuous at every point x+y along y = :r. Determine whether the following statement is TRUE or FALSE. * 2 points TRUE or FALSE. The function f(x, y) = In(x2 + y2) is continuous everywhere. O TRUE O FALSE Determine whether the following statement is TRUE or FALSE. * 2 points TRUE or FALSE. A function f(x, y) is continuous at a point (a, b) if lim (x,y)-(a,b) f(x,y) = f(a, b). TRUE FALSEDetermine whether the following statement is TRUE or FALSE. * 2 p-oi"ts If f is a Function of x and y where fry and flu, are continuous on an open region R, then for every (x, y) in R, we have fxy = fyx. Determine whether the following statement is TRUE or FALSE. * 2 points The total differential for z = cosy - cos x is dz = sin x dx + sin y dy. O TRUE O FALSE Determine whether the following statement is TRUE or FALSE. * 2 points TRUE or FALSE. Suppose M, a, b E IR, then the lim (x, y) -(a,b) If (x, y)]'s = M's, provided that s is even whenever M > 0. TRUE FALSEDetermine whether the following statement is TRUE or FALSE. * 2 points The function g(x, y) = 5x + 10y -y3 is differentiable. O TRUE O FALSEDetermine whether the following statement is TRUE or FALSE. * 2 ports TRUE or FALSE. The limit of a polynomial function in two variables as it approaches a certain point is equal to its function value at the given point