Math 153 Concept Check 01 Problem 1) A student knows the following theorem: Theorem A: If f(x) is differentiable, then f(x) is continuous. This student is then asked the following question: Question: \"Decide whether or not the function f(x) = le is continuous, and explain your reasoning.\" The student answers: Student Answer: "The function f(x) is not differentiable at x = 0 because the graph has a cusp at x = 0. So, by Theorem A, f (x) is not continuous.\" What is wrong with the student's reasoning? Problem 2) Calculate the indefinite integral in the following two cases: a) p at 1 (Hint: Use Power Rule) b) p = 1 (Hint: % is the derivative of which function?) Problem 3) Using your answers to Question 2, calculate the value of the improper integral in the following three cases. a) p>1 b) p