P Preparation For Calculus 1 Limits And Their Properties 2 Differentiation 3 Applications Of Differentiation 4 Integration 5 Logarithmic, Exponential, And Other Transcendental Functions 6 Differential Equations 7 Applications Of Integration 8 Integration Techniques And Improper Integrals 9 Infinite Series 10 Conics, Parametric Equations, And Polar Coordinates 11 Vectors And The Geometry Of Space 12 Vector-valued Functions 13 Functions Of Several Variables 14 Multiple Integration 15 Vector Analysis expand_more
7.1 Area Of A Region Between Two Curves 7.2 Volume: The Disk Method 7.3 Volume: The Shell Method 7.4 Arc Length And Surfaces Of Revolution 7.5 Work 7.6 Moments, Centers Of Mass, And Centroids 7.7 Fluid Pressure And Fluid Force Chapter Questions expand_more
Problem 1E: CONCEPT CHECK Area What is the geometric interpretation of the area of the region between two... Problem 2E Problem 3E: CONCEPT CHECK Area Between Intersecting Curves Explain why it is important to determine all points... Problem 4E Problem 5E: Writing a Definite Integral In Exercises 5-10, write a definite integral that represents the area of... Problem 6E: Writing a Definite Integral In Exercises 5-10, write a definite integral that represents the area of... Problem 7E: Writing a Definite Integral In Exercises 5-10, write a definite integral that represents the area of... Problem 8E: Writing a Definite Integral In Exercises 5-10, write a definite integral that represents the area of... Problem 9E: Writing a Definite Integral In Exercises 510, write a define integral that represents the area of... Problem 10E: Writing a Definite Integral In Exercises 5-10, write a definite integral that represents the area of... Problem 11E: Finding a Region In Exercises 11-14, the integrand of the definite integral is a difference of two... Problem 12E Problem 13E: Finding a Region In Exercises 1114, the integrand of the definite integral is a difference of two... Problem 14E: Finding a Region In Exercises 1114, the integrand of the definite integral is a difference of two... Problem 15E: Finding the Area of a Region In Exercises 15-28, sketch the region hounded by the graphs of the... Problem 16E Problem 17E Problem 18E: Finding the Area of a Region In Exercises 15-28, sketch the region hounded by the graphs of the... Problem 19E Problem 20E Problem 21E: Finding the Area of a Region In Exercises 15-28, sketch the region hounded by the graphs of the... Problem 22E: Finding the Area of a Region In Exercises 15-28, sketch the region hounded by the graphs of the... Problem 23E Problem 24E Problem 25E Problem 26E: Finding the Area of a Region In Exercises 15-28, sketch the region bounded by the graphs of the... Problem 27E Problem 28E Problem 29E: Comparing Methods In Exercises 29 and 30, find the area of the region by integrating (a) with... Problem 30E: Comparing Methods In Exercises 29 and 30, find the area of the region by integrating (a) with... Problem 31E: Finding the Area of a Region In Exercises 31-36, (a) use a graphing utility to graph the region... Problem 32E Problem 33E Problem 34E Problem 35E: Finding the Area of a Region In Exercises 31-36, (a) use a graphing utility to graph the region... Problem 36E Problem 37E Problem 38E Problem 39E Problem 40E: Finding the Area of a Region In Exercises 37-42, sketch the region hounded by the graphs of the... Problem 41E Problem 42E Problem 43E Problem 44E: Finding the Area of a Region In Exercises 43-46, (a) use a graphing utility to graph the region... Problem 45E Problem 46E Problem 47E Problem 48E Problem 49E Problem 50E Problem 51E Problem 52E Problem 53E: Integration as an Accumulation Process In Exercises 53-56, find the accumulation function F. Then... Problem 54E Problem 55E Problem 56E Problem 57E Problem 58E: Finding the Area of a FigureIn Exercises 57-60, use integration to find the area of the Figure... Problem 59E: Finding the Area of a Figure In Exercises 57-60, use integration to find the area of the Figure... Problem 60E Problem 61E Problem 62E Problem 63E Problem 64E Problem 65E Problem 66E Problem 67E Problem 68E Problem 69E Problem 70E: Dividing a Region In Exercises 69 and 70, find b such that the line y=b divides the region bounded... Problem 71E: Dividing a Region In Exercises 71 and 72, find a such that the line x=a divides the region bounded... Problem 72E: Dividing a Region In Exercises 71 and 72, find a such that the line x=a divides the region bounded... Problem 73E Problem 74E: Limits and Integrals In Exercises 73 and 74, evaluate the limit and sketch the graph of the region... Problem 75E: Revenue In Exercises 75 and 76, two models R1 and R2 are given for revenue (in millions of dollars)... Problem 76E Problem 77E: Lorenz Curve Economists use Lorenz curves to illustrate the distribution of income in a country. A... Problem 78E: Profit The chief financial officer of a company reports that profits for the past fiscal year were... Problem 79E: Building Design Concrete sections for a new building have the dimensions (in meters) and shape shown... Problem 80E Problem 81E: Area Find the area between the graph of y=sinx and the line segment joining the points (0,0) and... Problem 82E: Area Let a0 and b0. Show that the area of the ellipse x2a2+y2b2 is nab (see figure). Problem 83E Problem 84E Problem 85E: True or False? In Exercises 83-86, determine whether the statement is true or false. If it is false,... Problem 86E Problem 87E: The horizontal line y=c intersects the curve y=2x3x3 in the first quadrant as shown in the figure.... format_list_bulleted