Problem 1MP: Matched Problem 1 Refer to the revenue function in Example 1. (A) What is the change in revenue if... Problem 2MP: Matched Problem 2 For the falling steel ball in Example 2, find (A) The average velocity from x = 1... Problem 3MP: Matched Problem 3 Given f(x) = x2, (A) Find the slope of the secant line for a = 2 and h = 2 and 1,... Problem 4MP: Matched Problem 4 Find f(x), the derivative of f at x, for f(x) = 8x 2x2. Problem 5MP: Matched Problem 5 In Matched Problem 4, we started with the function f(x) = 8x 2x2. Using the... Problem 6MP: Matched Problem 6 Find f(x) for f(x)=1x+2. Problem 7MP: Matched Problem 7 Find f(x) for f(x)=x+4. Problem 8MP: Matched Problem 8 A companys total sales (in millions of dollars) t months from now are given by... Problem 1ED: Explore and Discuss 1 In Example 4, we found that the derivative of f(x) = 4x x2 is f(x) = 4 2x.... Problem 2ED: Explore and Discuss 2 Let f(x) = |x l|. (A) Graph f. (B) Complete the following table: (C) Find the... Problem 1E: Skills Warm-up Exercises In Problems 14, find the slope of the line through the given points. Write... Problem 2E: Skills Warm-up Exercises In Problems 14, find the slope of the line through the given points. Write... Problem 3E: Skills Warm-up Exercises In Problems 14, find the slope of the line through the given points. Write... Problem 4E: Skills Warm-up Exercises In Problems 14, find the slope of the line through the given points. Write... Problem 5E: In Problems 58, write the expression in the form a+bn where a and b are reduced fractions and n is... Problem 6E Problem 7E: In Problems 58, write the expression in the form a+bn where a and b are reduced fractions and n is... Problem 8E: In Problems 58, write the expression in the form a+bn where a and b are reduced fractions and n is... Problem 9E: A In Problems 9 and 10, find the indicated quantity for y = f(x) = 5 x2 and interpret that quantity... Problem 10E: A In Problems 9 and 10, find the indicated quantity for y = f(x) = 5 x2 and interpret that quantity... Problem 11E: Find the indicated quantities for f(x) = 3x2. (A) The slope of the secant line through the points... Problem 12E: Find the indicated quantities for f(x) = 3x2. (A) The slope of the secant line through the points... Problem 13E: Two hours after the start of a 100-kilometer bicycle race, a cyclist passes the 80-kilometer mark... Problem 14E: Four hours after the start of a 600-mile auto race, a drivers velocity is 150 miles per hour as she... Problem 15E: For f(x)=11+x2, the slope of the graph of y = f(x) is known to be 12 at the point with x coordinate... Problem 16E: For f(x)=11+x2, the slope of the graph of y = f(x) is known to be 0.16 at the point with x... Problem 17E: For f(x) = x4, the instantaneous rate of change is known to be 32 at x = 2. Find the equation of the... Problem 18E: For f(x) = x4, the instantaneous rate of change is known to be 4 at x = 1. Find the equation of the... Problem 19E: In Problems 1944, use the four-step process to find f(x) and then find f(1), f(2), and f(3). 19.... Problem 20E: In Problems 1944, use the four-step process to find f(x) and then find f(1), f(2), and f(3). 20.... Problem 21E: In Problems 1944, use the four-step process to find f(x) and then find f(1), f(2), and f(3). 21.... Problem 22E: In Problems 1944, use the four-step process to find f(x) and then find f(1), f(2), and f(3). 22.... Problem 23E: In Problems 1944, use the four-step process to find f(x) and then find f(1), f(2), and f(3). 23.... Problem 24E: In Problems 1944, use the four-step process to find f(x) and then find f(1), f(2), and f(3). 24.... Problem 25E: In Problems 1944, use the four-step process to find f(x) and then find f(1), f(2), and f(3). 25.... Problem 26E: In Problems 1944, use the four-step process to find f(x) and then find f(1), f(2), and f(3). 26.... Problem 27E: In Problems 1944, use the four-step process to find f(x) and then find f(1), f(2), and f(3). 27.... Problem 28E: In Problems 1944, use the four-step process to find f(x) and then find f(1), f(2), and f(3). 28.... Problem 29E: In Problems 1944, use the four-step process to find f(x) and then find f(1), f(2), and f(3). 29.... Problem 30E: In Problems 1944, use the four-step process to find f(x) and then find f(1), f(2), and f(3). 30.... Problem 31E: In Problems 1944, use the four-step process to find f(x) and then find f(1), f(2), and f(3). 31.... Problem 32E: In Problems 1944, use the four-step process to find f(x) and then find f(1), f(2), and f(3). 32.... Problem 33E: In Problems 1944, use the four-step process to find f(x) and then find f(1), f(2), and f(3). 33.... Problem 34E: In Problems 1944, use the four-step process to find f(x) and then find f(1), f(2), and f(3). 34.... Problem 35E: In Problems 1944, use the four-step process to find f(x) and then find f(1), f(2), and f(3). 35.... Problem 36E: In Problems 1944, use the four-step process to find f(x) and then find f(1), f(2), and f(3). 36.... Problem 37E: In Problems 1944, use the four-step process to find f(x) and then find f(1), f(2), and f(3). 37.... Problem 38E: In Problems 1944, use the four-step process to find f(x) and then find f(1), f(2), and f(3). 38.... Problem 39E: In Problems 1944, use the four-step process to find f(x) and then find f(1), f(2), and f(3). 39.... Problem 40E: In Problems 1944, use the four-step process to find f(x) and then find f(1), f(2), and f(3). 40.... Problem 41E: In Problems 1944, use the four-step process to find f(x) and then find f(1), f(2), and f(3). 41.... Problem 42E: In Problems 1944, use the four-step process to find f(x) and then find f(1), f(2), and f(3). 42.... Problem 43E: In Problems 1944, use the four-step process to find f(x) and then find f(1), f(2), and f(3). 43.... Problem 44E: In Problems 1944, use the four-step process to find f(x) and then find f(1), f(2), and f(3). 44.... Problem 45E: B Problems 45 and 46 refer to the graph of y = f(x) = x2 + x shown. 45. (A) Find the slope of the... Problem 46E: B Problems 45 and 46 refer to the graph of y = f(x) = x2 + x shown. 46. (A) Find the slope of the... Problem 47E: In Problems 47 and 48, suppose an object moves along the y axis so that its location is y = f(x) =... Problem 48E: In Problems 47 and 48, suppose an object moves along the y axis so that its location is y = f(x) =... Problem 49E: Problems 4956 refer to the function F in the graph shown. Use the graph to determine whether F(x)... Problem 50E: Problems 4956 refer to the function F in the graph shown. Use the graph to determine whether F(x)... Problem 51E: Problems 4956 refer to the function F in the graph shown. Use the graph to determine whether F(x)... Problem 52E: Problems 4956 refer to the function F in the graph shown. Use the graph to determine whether F(x)... Problem 53E: Problems 4956 refer to the function F in the graph shown. Use the graph to determine whether F(x)... Problem 54E: Problems 4956 refer to the function F in the graph shown. Use the graph to determine whether F(x)... Problem 55E: Problems 4956 refer to the function F in the graph shown. Use the graph to determine whether F(x)... Problem 56E: Problems 4956 refer to the function F in the graph shown. Use the graph to determine whether F(x)... Problem 57E: For Problems 5758, (A) Find f(x). (B) Find the slopes of the lines tangent to the graph of f at x =... Problem 58E Problem 59E: If an object moves along a line so that it is at y = f(x) = 4x2 2x at time x (in seconds), find the... Problem 60E Problem 61E: Let f(x) = x2, g(x) = x2 1, and h(x) = x2 + 2. (A) How are the graphs of these functions related?... Problem 62E: Let f(x) = x2, g(x) = x2 1, and h(x) = x2 + 2. (A) How are the graphs of these functions related?... Problem 63E: In Problems 6368, discuss the validity of each statement. If the statement is always true, explain... Problem 64E: In Problems 6368, discuss the validity of each statement. If the statement is always true, explain... Problem 65E: In Problems 6368, discuss the validity of each statement. If the statement is always true, explain... Problem 66E: In Problems 6368, discuss the validity of each statement. If the statement is always true, explain... Problem 67E Problem 68E: In Problems 6368, discuss the validity of each statement. If the statement is always true, explain... Problem 69E: In Problems 6972, sketch the graph of f and determine where f is nondifferentiable. 69.... Problem 70E: In Problems 6972, sketch the graph of f and determine where f is nondifferentiable. 70.... Problem 71E: In Problems 6972, sketch the graph of f and determine where f is nondifferentiable. 71.... Problem 72E: In Problems 6972, sketch the graph of f and determine where f is nondifferentiable. 72.... Problem 73E: C In Problems 7378, determine whether f is differentiable at x = 0 by considering limh0f(0+h)f(0)h... Problem 74E: C In Problems 7378, determine whether f is differentiable at x = 0 by considering limh0f(0+h)f(0)h... Problem 75E: C In Problems 7378, determine whether f is differentiable at x = 0 by considering limh0f(0+h)f(0)h... Problem 76E: C In Problems 7378, determine whether f is differentiable at x = 0 by considering limh0f(0+h)f(0)h... Problem 77E: C In Problems 7378, determine whether f is differentiable at x = 0 by considering limh0f(0+h)f(0)h... Problem 78E: C In Problems 7378, determine whether f is differentiable at x = 0 by considering limh0f(0+h)f(0)h... Problem 79E: A ball dropped from a balloon falls y = 16x2 feet in x seconds. If the balloon is 576 feet above the... Problem 80E Problem 81E: Revenue. The revenue (in dollars) from the sale of x infant car seats is given by... Problem 82E Problem 83E: Sales analysis. A companys total sales (in millions of dollars) t months from now are given by... Problem 84E: Sales analysis. A companys total sales (in millions of dollars) t months from now are given by... Problem 85E: Mineral consumption. The U.S. consumption of tungsten (in metric tons) is given approximately by... Problem 86E: Mineral consumption. The U.S. consumption of refined copper (in thousands of metric tons) is given... Problem 87E: Electricity consumption. Table 1 gives the retail sales of electricity (in billions of... Problem 88E: Electricity consumption. Refer to the data in Table 1. (A) Let x represent time (in years) with x =... Problem 89E: Air pollution. The ozone level (in parts per billion) on a summer day in a metropolitan area is... Problem 90E: Medicine. The body temperature (in degrees Fahrenheit) of a patient t hours after taking a... format_list_bulleted
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