1 Preliminaries 2 Functions, Limits, And The Derivative 3 Differentiation 4 Applications Of The Derivative 5 Exponential And Logarithmic Functions 6 Integration 7 Additional Topics In Integration 8 Calculus Of Several Variables A Appendix A B Appendix B expand_more
2.1 Functions And Their Graphs 2.2 The Algebra Of Functions 2.3 Functions And Mathematical Models 2.4 Limits 2.5 One-Sided Limits And Continuity 2.6 The Derivative Chapter Questions expand_more
Problem 1CQ: For Questions 1 and 2, refer to the following figure. 1. Let P(2, f(2)) and Q(2 + h, f[2 + h)) be... Problem 2CQ Problem 3CQ Problem 4CQ Problem 5CQ Problem 6CQ Problem 1E: AVERAGE WEIGHT OF AN INFANT The following graph shows the weight measurements of the average infant... Problem 2E: FORESTRY The following graph shows the volume of wood produced in a single-species forest. Here,... Problem 3E: TV-VIEWING PATTERNS The following graph shows the percentage of U.S. households watching television... Problem 4E: CROP YIELD Productivity and yield of cultivated crops arc often reduced by insect pests. The... Problem 5E: The positions of Car A and Car B, starting out side by side and traveling along a straight road, are... Problem 6E: The velocities of Car A and Car B, which start out side by side and travel along a straight road,... Problem 7E: Effect of a Bactericide on Bacteria In the following figure, f(t) gives the population P1 of a... Problem 8E: Market Share The following figure shows the devastating effect the opening of a new discount... Problem 9E: In Exercises 9-16, use the four-step process to find the slope of the tangent line to the graph of... Problem 10E: In Exercises 9-16, use the four-step process to find the slope of the tangent line to the graph of... Problem 11E: In Exercises 9-16, use the four-step process to find the slope of the tangent line to the graph of... Problem 12E Problem 13E: In Exercises 9-16, use the four-step process to find the slope of the tangent line to the graph of... Problem 14E Problem 15E: In Exercises 9-16, use the four-step process to find the slope of the tangent line to the graph of... Problem 16E: In Exercises 9-16, use the four-step process to find the slope of the tangent line to the graph of... Problem 17E: In Exercises 17-22, find the slope of the tangent line to the graph of the function at the given... Problem 18E Problem 19E: In Exercises 17-22, find the slope of the tangent line to the graph of the function at the given... Problem 20E: In Exercises 17-22, find the slope of the tangent line to the graph of the function at the given... Problem 21E: In Exercises 17-22, find the slope of the tangent line to the graph of the function at the given... Problem 22E: In Exercises 17-22, find the slope of the tangent line to the graph of the function at the given... Problem 23E: Let f(x) = 2x2 + 1. a. Find the derivative f of f. b. Find an equation of the tangent line to the... Problem 26E: Let f(x) = 1x1 a. Find the derivative f of f. b. Find an equation of the tangent line to the curve... Problem 27E: Let y = x2 + x. a. Find the average rate of change of y with respect to x in the interval from x = 2... Problem 28E Problem 29E: Velocity of a Car Suppose the distance s (in feet) covered by a car moving along a straight road... Problem 30E: Velocity Of a Ball Thrown Into The Air A ball is thrown straight up with an initial velocity of 128... Problem 31E: Velocity Of a Falling Object During the construction of a high-rise building, a worker accidentally... Problem 32E: Velocity of a Hot-Air Balloon A hot-air balloon rises vertically from the ground so that its height... Problem 33E: At a temperature of 20C, the volume V(in liters) of 1.33 g of O2 is related to its pressure p (in... Problem 34E: Cost Of Producing Surfboards The total cost C(x) (in dollars) incurred by Aloha Company in... Problem 35E: Effect of Advertising on Profit The quarterly profit (in thousands of dollars) of Cunningham Realty... Problem 36E Problem 37E: A COUNTRY'S GDP The gross domestic product (GDP) of a certain country is projected to be N(t) = t2 +... Problem 38E: Growth of Bacteria Under a set of controlled laboratory conditions, the size of the population of a... Problem 39E: AIR TEMPERATURE The air temperature at a height of h ft from the surface of the earth is T = f(h)... Problem 40E: Revenue Of a Travel Agency Suppose that the total revenue realized by the Odyssey Travel Agency is R... Problem 41E: In Exercises 41-46, let x and f(x) represent the given quantities. Fix x = a and let h be a small... Problem 42E Problem 43E: In Exercises 41-46, let x and f(x) represent the given quantities. Fix x = a and let h be a small... Problem 44E Problem 45E Problem 46E Problem 47E Problem 48E Problem 49E: In each of Exercises 47-52, the graph of a function is shown. For each function, state whether or... Problem 50E: In each of Exercises 47-52, the graph of a function is shown. For each function, state whether or... Problem 51E: In each of Exercises 47-52, the graph of a function is shown. For each function, state whether or... Problem 52E Problem 53E: Velocity Of a Motorcycle The distance s (in feet) covered by a motorcycle traveling in a straight... Problem 54E: Rate of Change of Production Costs The daily total cost C(x) incurred by Trappee and Sons for... Problem 55E: In Exercises 55 and 56, determine whether the statement is true or false. If it is true, explain why... Problem 56E Problem 57E Problem 58E Problem 59E: Let f(x)={x2ifx1ax+bifx1 Find the values of a and b such that f is continuous and has a derivative... Problem 60E: Sketch the graph of the function f(x) =x2/3. Is the function continuous at x = 0? Does f(0) exist?... Problem 61E Problem 62E Problem 1TE Problem 2TE Problem 3TE Problem 4TE Problem 5TE Problem 6TE Problem 7TE Problem 8TE Problem 9TE Problem 10TE format_list_bulleted