Problem 1E: Fill in the blanks: (a) If f is positive on an interval, then f is________ on that interval, and f... Problem 2E: For the function graphed in Figure 2.52, are the following nonzero quantities positive or negative?... Problem 3E: At one of the labeled points on the graph in Figure 2.53 both dy/dx and d2y/dx2 are positive. Which... Problem 4E: At exactly two of the labeled points in Figure 2.54, the derivative f is 0; the second derivative f... Problem 5E: Graph the functions described in parts (a)(d). (a) First and second derivatives everywhere positive.... Problem 6E: Sketch the graph of a function whose first derivative is everywhere negative and whose second... Problem 7E: Sketch the graph of the height of a particle against time if velocity is positive and acceleration... Problem 8E: For Exercises 813, give the signs of the first and second derivatives for the function. Each... Problem 9E: For Exercises 813, give the signs of the first and second derivatives for the function. Each... Problem 10E: For Exercises 813, give the signs of the first and second derivatives for the function. Each... Problem 11E: For Exercises 813, give the signs of the first and second derivatives for the function. Each... Problem 12E: For Exercises 813, give the signs of the first and second derivatives for the function. Each... Problem 13E: For Exercises 813, give the signs of the first and second derivatives for the function. Each... Problem 14E: The position of a particle moving along the x-axis is given by s(t) = 5t2 +3. Use difference... Problem 15E: The table gives the number of passenger cars, C = f(t), in millions,18 in the US in the year t. (a)... Problem 16E: An accelerating sports car goes from 0 mph to 60 mph in five seconds. Its velocity is given in the... Problem 17E: A small plane is taking off from a runway at a regional airport. The planes ground velocity... Problem 18E: Sketch the curves described in (a)(c): (a) Slope is positive and increasing at first but then is... Problem 19E: In Problems 1924, graph the second derivative of the function. Problem 20E: In Problems 1924, graph the second derivative of the function. Problem 21E: In Problems 1924, graph the second derivative of the function. Problem 22E: In Problems 1924, graph the second derivative of the function. Problem 23E: In Problems 1924, graph the second derivative of the function. Problem 24E: In Problems 1924, graph the second derivative of the function. Problem 25E: Let P(t) represent the price of a share of stock of a corporation at time t. What does each of the... Problem 26E: A headline in the New York Times on December 14, 2014, read:19 A Steep Slide in Law School... Problem 27E: In economics, total utility refers to the total satisfaction from consuming some commodity.... Problem 28E: Winning the war on poverty has been described cynically as slowing the rate at which people are... Problem 29E: An industry is being charged by the Environmental Protection Agency (EPA) with dumping unacceptable... Problem 30E: In Problems 3035, the length of a plant, L, is a function of its mass, M, so L = f(M). A unit... Problem 31E: In Problems 3035, the length of a plant, L, is a function of its mass, M, so L = f(M). A unit... Problem 32E: In Problems 3035, the length of a plant, L, is a function of its mass, M, so L = f(M). A unit... Problem 33E: In Problems 3035, the length of a plant, L, is a function of its mass, M, so L = f(M). A unit... Problem 34E: In Problems 3035, the length of a plant, L, is a function of its mass, M, so L = f(M). A unit... Problem 35E: In Problems 3035, the length of a plant, L, is a function of its mass, M, so L = f(M). A unit... Problem 36E: At which of the marked x-values in Figure 2.56 can the following statements be true? (a) f(x) 0 (b)... Problem 37E: Figure 2.57 gives the position, f(t), of a particle at time t. At which of the marked values of t... Problem 38E: The graph of f (not f) is given in Figure 2.58. At which of the marked values of x is (a) f(x)... Problem 39E: For Problems 3940, sketch the graph of one continuous function f that has all of the indicated... Problem 40E: For Problems 3940, sketch the graph of one continuous function f that has all of the indicated... Problem 41E: A function f has f(5) = 20, f(5)=2, and f(x)0, for x 5. Which of the following are possible values... Problem 42E: Chlorofluorocarbons (CFCs) were used as propellants in spray cans until their buildup in the... Problem 43E: (a) Using the graph of f in Figure 2.59, for what values of x is f increasing? (b) For what values... Problem 44E: In Problems 4445, explain what is wrong with the statement. A function that is not concave up is... Problem 45E: In Problems 4445, explain what is wrong with the statement. When the acceleration of a car is zero,... Problem 46E: In Problems 4647, give an example of: A function that has a nonzero first derivative but zero second... Problem 47E: In Problems 4647, give an example of: A function for which f(0)=0 but f(0)0. Problem 48E: Are the statements in Problems 4852 true or false? Give an explanation for your answer. If f(x)0... Problem 49E: Are the statements in Problems 4852 true or false? Give an explanation for your answer. The... Problem 50E: Are the statements in Problems 4852 true or false? Give an explanation for your answer. A function... Problem 51E: Are the statements in Problems 4852 true or false? Give an explanation for your answer. The function... Problem 52E: Are the statements in Problems 4852 true or false? Give an explanation for your answer. The function... format_list_bulleted