(a) Indicate whether each of the following statements is TRUE or FALSE. Simply circle your answer. You do not need to justify your answer. (i) Consider the level curve given by the equation: 3 = x3 + y3 . Suppose that the point ((1,1)) is a point on the level curve. TRUE or FALSE: The vector is perpendicular to the line tangent to this level curve at (a,b). TRUE FALSE (ii) Suppose f is continuous on a closed, bounded set D in R2 . TRUE or FALSE: It must be the case that f attains an absolute maximum value at some point or points in D. TRUE FALSE (iii) TRUE or FALSE: The absolute minimum value of the function given by f(x,y)=4+x2 +y2 is 4. TRUE FALSE (iV)TRUE or FALSE: If R is a rectangular region in the xy-plane, then (disregarding units) the number to which H (M is equal is the area of the rectangle R. R TRUE FALSE