WeBWorK Standalone Renderer

Values of $f(x,y)$ are shown in the table below.

	$x = 1$	$x = 1.1$	$x = 1.2$
$y = 3$	10	12	15
$y = 3.3$	12	14	18
$y = 3.6$	14	16	9

Let $R$ be the rectangle $1 \leq x \leq 1.2$ , $3 \leq y \leq 3.6$ . Find the values of Riemann sums which are reasonable over- and under-estimates for $\int_R f(x,y) \,dA$ with $\Delta x=0.1$ and $\Delta y=0.3$ .

over-estimate:
under-estimate:

You can earn partial credit on this problem.