Please consider the questions below and use the tools you acquired from the mathematics for economics course to answer them. Show all the steps of your calculations.

2) Economic Application of Integrals.

a) given the marginal propensity to import M'(Y) = 0.1 and the information that M=20 when Y=0, find the import function M(Y).

b) given the marginal propensity to consume C'(Y) = 0.8 + 0.1Y ^-1/2 and the information that C=Y when Y=100, find the consumption function C(Y).