One of the fundamental themes of calculus is to nd the slope of the tangent line to a curve at a point. To see how this can be done, consider the point (2, 4) on the graph of the quadratic mction f (x) = x2. a) Find the slope m1 of the line joining (2, 4) and (3,9). Is the slope of the tangent line at (2, 4) greater than or less than the slope of the line through (2,4) and (3,9)? b) Find the slope m2 of the line joining (2, 4) and (1,1). Is the slope of the tangent line at (2, 4) greater than or less than the slope of the line through (2,4) and (1, 1)? c) Find the slope m3 of the line joining (2,4) and (21,441). Is the slope of the tangent line at (2, 4) greater than or less than the slope of the line through (2,4) and (2. 1, 4. 41)? (1) Find the slope m}, of the line joining (2, 4) and (2+h, f(2+h)) in terms of the nonzero number 11. e) Evaluate the slope formula om part (1) for h = 1,1 and 0.1 .Compare these values with these in part a) -c). i) What can you conclude the slope mm of the tangent line at (2, 4) to be? Explain your