10.2 Minimizing the Area Between a Graph and Its Tangent Given a function f dened on [0, 1], for which of its nonvertical tangent lines T is the area between the graph of f and T minimal? Develop an answer for three different nonlinear functions of your own choosing. Choose no more than one function from a particular class of functions (i.e., polynomial, radical, rational, trigonometric, exponential, logarithmic). Carefully explain the reasoning leading to your conclusions. Looking back at your results, try to formulate and then verify any conjectures or generalizations they suggest. (Hint: Stick to functions Whose concavity doesn't change on [0,1].)