In WA2 Q3(b) you showed that f is not continuous. Thus the existence of all directional derivatives does not guarantee continuity. However: if all the directional derivatives of a function g(x, y) exist and are continuous at (a, b), then g must be continuous at (a, b). Explain why.

Use a calculator to verify that σ(x) = 62, σ(x2) = 1034, σ(y) = 644, σ(y2) = 93,438, and σ(x y) = 9,622. compute r. (enter a number. round your answer to three decimal places.) as x increases from 3 to 22 months, does the value of r imply that y should tend to increase or decrease? explain your answer. given our value of r, y should tend to increase as x increases. given our value of r, we can not draw any conclusions for the behavior of y as x increases. given our value of r, y should tend to remain constant as x increases. given our value of r, y should tend to decrease as x increases.