Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. If a function is continuous at a point, then it is differentiable at that point. O True. O False. f(x) = |x - 2| is continuous, but not differentiable at x = 2. O False. f(x) = 1/x is continuous, but not differentiable at x = 1. O False. f(x) = x2 is continuous, but not differentiable at x = 0.Sketch the region whose area is given by the definite integral. x dx y 10 10 8X 8 6 6 4 4 2 X -2 2 4 6 8 10 2 4 6 8 10 O - 2 O 35 10 30 25 61 20 4 15 10 2 5 -2 2 6 8 10 -2 2 4 6 8 10 O - 2 Use a geometric formula to evaluate the integral.