 11.1.40E: The closed region bounded by the spheres of radius 1 and radius 2 c...
 11.1.41E: In Exercises 41–46, find the distance between points P1 and P2.P 1(...
 11.1.42E: In Exercises 41–46, find the distance between points P1 and P2.P 1(...
 11.1.43E: In Exercises 41–46, find the distance between points P1 and P2.P 1(...
 11.1.44E: In Exercises 41–46, find the distance between points P1 and P2.P 1(...
 11.1.45E: In Exercises 41–46, find the distance between points P1 and P2.P 1(...
 11.1.46E: In Exercises 41–46, find the distance between points P1 and P2.P 1(...
 11.1.47E: Find the centers and radii of the spheres in Exercises 47–50.(x +2)...
 11.1.48E: Find the centers and radii of the spheres in Exercises 47–50.
 11.1.49E: Find the centers and radii of the spheres in Exercises 47–50.
 11.1.50E: Find the centers and radii of the spheres in Exercises 47–50.
 11.1.51E: Find equations for the spheres whose centers and radii are given in...
 11.1.52E: Find equations for the spheres whose centers and radii are given in...
 11.1.53E: Find equations for the spheres whose centers and radii are given in...
 11.1.54E: Find equations for the spheres whose centers and radii are given in...
 11.1.55E: Find the centers and radii of the spheres in Exercises 55–58.x 2 + ...
 11.1.56E: Find the centers and radii of the spheres in Exercises 55–58.x 2 + ...
 11.1.57E: Find the centers and radii of the spheres in Exercises 55–58.2x2 + ...
 11.1.58E: Find the centers and radii of the spheres in Exercises 55–58.3x2 + ...
 11.1.59E: Find a formula for the distance from the point P(x, y, z) to thea. ...
 11.1.60E: Find a formula for the distance from the point P(x, y, z) to thea. ...
 11.1.61E: Find the perimeter of the triangle with vertices A(1, 2, 1), B(1, ...
 11.1.62E: Show that the point P(3, 1, 2) is equidistant from the points A(2, ...
 11.1.63E: Find an equation for the set of all points equidistant from the pla...
 11.1.64E: Find an equation for the set of all points equidistant from the poi...
 11.1.65E: Find the point on the sphere x2 + (y – 3)2 + (z + 5)2 = 4 nearesta....
 11.1.66E: Find the point equidistant from the points (0, 0, 0), (0, 4, 0), (3...
 11.1.1E: In Exercises 1–16, give a geometric description of the set of point...
 11.1.2E: In Exercises 1–16, give a geometric description of the set of point...
 11.1.3E: In Exercises 1–16, give a geometric description of the set of point...
 11.1.4E: In Exercises 1–16, give a geometric description of the set of point...
 11.1.5E: In Exercises 1–16, give a geometric description of the set of point...
 11.1.6E: In Exercises 1–16, give a geometric description of the set of point...
 11.1.7E: In Exercises 1–16, give a geometric description of the set of point...
 11.1.8E: In Exercises 1–16, give a geometric description of the set of point...
 11.1.9E: In Exercises 1–16, give a geometric description of the set of point...
 11.1.10E: In Exercises 1–16, give a geometric description of the set of point...
 11.1.11E: In Exercises 1–16, give a geometric description of the set of point...
 11.1.12E: In Exercises 1–16, give a geometric description of the set of point...
 11.1.13E: In Exercises 1–16, give a geometric description of the set of point...
 11.1.14E: In Exercises 1–16, give a geometric description of the set of point...
 11.1.15E: In Exercises 1–16, give a geometric description of the set of point...
 11.1.16E: In Exercises 1–16, give a geometric description of the set of point...
 11.1.17E: In Exercises 17–24, describe the sets of points in space whose coor...
 11.1.18E: In Exercises 17–24, describe the sets of points in space whose coor...
 11.1.19E: In Exercises 17–24, describe the sets of points in space whose coor...
 11.1.20E: In Exercises 17–24, describe the sets of points in space whose coor...
 11.1.21E: In Exercises 17–24, describe the sets of points in space whose coor...
 11.1.22E: In Exercises 17–24, describe the sets of points in space whose coor...
 11.1.23E: In Exercises 17–24, describe the sets of points in space whose coor...
 11.1.24E: In Exercises 17–24, describe the sets of points in space whose coor...
 11.1.25E: The plane perpendicular to the a. xaxis at (3, 0, 0) b. yaxis at ...
 11.1.26E: The plane through the point (3, 1, 2) perpendicular to the a. xax...
 11.1.27E: The plane through the point (3, 1, 1) parallel to the a. xyplane ...
 11.1.28E: The circle of radius 2 centered at (0, 0, 0) and lying in the a. xy...
 11.1.29E: The circle of radius 2 centered at (0, 2, 0) and lying in the a. xy...
 11.1.30E: The circle of radius 1 centered at (3, 4, 1) and lying in a plane ...
 11.1.31E: The line through the point (1, 3, 1) parallel to the a. xaxis b. ...
 11.1.32E: The set of points in space equidistant from the origin and the poin...
 11.1.33E: The circle in which the plane through the point (1, 1, 3) perpendic...
 11.1.34E: The set of points in space that lie 2 units from the point (0, 0, 1...
 11.1.35E: The slab bounded by the planes z = 0 and z = 1 (planes included)
 11.1.36E: The solid cube in the first octant bounded by the coordinate planes...
 11.1.37E: The halfspace consisting of the points on and below the xyplane
 11.1.38E: The upper hemisphere of the sphere of radius 1 centered at the origin
 11.1.39E: The (a) interior and (b) exterior of the sphere of radius 1 centere...
Solutions for Chapter 11.1: University Calculus: Early Transcendentals 2nd Edition
Full solutions for University Calculus: Early Transcendentals  2nd Edition
ISBN: 9780321717399
Solutions for Chapter 11.1
Get Full SolutionsUniversity Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321717399. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 11.1 includes 66 full stepbystep solutions. This textbook survival guide was created for the textbook: University Calculus: Early Transcendentals , edition: 2. Since 66 problems in chapter 11.1 have been answered, more than 55412 students have viewed full stepbystep solutions from this chapter.

Addition property of equality
If u = v and w = z , then u + w = v + z

Average rate of change of ƒ over [a, b]
The number ƒ(b)  ƒ(a) b  a, provided a ? b.

Central angle
An angle whose vertex is the center of a circle

Completing the square
A method of adding a constant to an expression in order to form a perfect square

Difference of functions
(ƒ  g)(x) = ƒ(x)  g(x)

Even function
A function whose graph is symmetric about the yaxis for all x in the domain of ƒ.

Identity matrix
A square matrix with 1’s in the main diagonal and 0’s elsewhere, p. 534.

Imaginary part of a complex number
See Complex number.

Line graph
A graph of data in which consecutive data points are connected by line segments

Logarithmic regression
See Natural logarithmic regression

Logistic regression
A procedure for fitting a logistic curve to a set of data

Pole
See Polar coordinate system.

Probability distribution
The collection of probabilities of outcomes in a sample space assigned by a probability function.

Probability simulation
A numerical simulation of a probability experiment in which assigned numbers appear with the same probabilities as the outcomes of the experiment.

Quadratic function
A function that can be written in the form ƒ(x) = ax 2 + bx + c, where a, b, and c are real numbers, and a ? 0.

Range (in statistics)
The difference between the greatest and least values in a data set.

Semimajor axis
The distance from the center to a vertex of an ellipse.

Time plot
A line graph in which time is measured on the horizontal axis.

Variable
A letter that represents an unspecified number.

Vertex form for a quadratic function
ƒ(x) = a(x  h)2 + k