) Matching utility functions and indifference curve maps Consider the following 6 utility functions: a) For each, find the expressions for marginal utilities and the marginal rate of substitution, and

determine whether monotonicity and convexity are met. b) Next, try to picture what indifference curves will look like, and see if you can find a matching graph below. [Try not to rely too much on brute force calculations of utility values – what if the grid was not shown and you couldn't easily identify the coordinates at any given point?]