Question 2,3,4 please

The Leer came y = RUE) proposes a simple theoretical relationship between a government's tax revenue RUE) and tax rate t: He) = we), where b(t) is the tax base for tax rate t that isE the total dollar amount of economic activity taxable at tax rate t. The dependence of Mt) on 15 comes from things like changes in people's spending habits or companies\" investment plans based on the tax rate. Because 1' represents a tax rate, it is restricted to be in the interval [0,1]. (For example= if you have a tax base of $20 billion and a tax rate of 4;, $5 billion goes to the government through taxes, and $15 billion remains with the economic actors.) I11 this assignment, you may use without proof the assumption that Mt) is continuous on the interval [0,1] and differentiable on the interval (0. 1). You may also look 11p terms and arguments online1 though it is certainly possible to get full marks on the assignment. without doing so. 2. (a) In a paragraph, explain why it is plausible that b'(t) 0 on the interval {0, 1)? Justify your answer ill one or two paragraphs. You may assume that (t)