 11.1.1: The distance between the points (1, 2, 0) and (4, 0, 5) is.
 11.1.2: The graph of (x 3)2 + (y 2)2 + (z + 1)2 = 16 is aof radius centered...
 11.1.3: The shortest distance from the point (4, 0, 5) to the sphere(x 1)2 ...
 11.1.4: Let S be the graph of x2 + z2 + 6z = 16 in 3space.(a) The intersec...
 11.1.5: Interpret the graph of x = 1 in the contexts of(a) a number line (b...
 11.1.6: Consider the points P (3, 1, 0) and Q(1, 4, 4).(a) Sketch the trian...
 11.1.7: (a) Consider a box whose sides have lengths a, b, andc. Use the The...
 11.1.8: (a) Make a conjecture about the set of points in 3space thatare eq...
 11.1.9: Find the center and radius of the sphere that has (1, 2, 4)and (3, ...
 11.1.10: Show that (4, 5, 2), (1, 7, 3), and (2, 4, 5) are vertices of anequ...
 11.1.11: (a) Show that (2, 1, 6), (4, 7, 9), and (8, 5, 6) are the verticeso...
 11.1.12: Find the distance from the point (5, 2, 3) to the(a) xyplane (b) x...
 11.1.13: In each part, find the standard equation of the sphere thatsatisfie...
 11.1.14: Find equations of two spheres that are centered at the originand ar...
 11.1.15: In each part, find an equation of the sphere with center(2, 1, 3) a...
 11.1.16: (a) Find an equation of the sphere that is inscribed in thecube tha...
 11.1.17: A sphere has center in the first octant and is tangent to eachof th...
 11.1.18: A sphere has center in the first octant and is tangent to eachof th...
 11.1.19: 1922 TrueFalse Determine whether the statement is true orfalse. Exp...
 11.1.20: 1922 TrueFalse Determine whether the statement is true orfalse. Exp...
 11.1.21: 1922 TrueFalse Determine whether the statement is true orfalse. Exp...
 11.1.22: 1922 TrueFalse Determine whether the statement is true orfalse. Exp...
 11.1.23: 2328 Describe the surface whose equation is given. x2 + y2 + z2 + 1...
 11.1.24: 2328 Describe the surface whose equation is given. x2 + y2 + z2 y = 0
 11.1.25: 2328 Describe the surface whose equation is given. 2x2 + 2y2 + 2z2 ...
 11.1.26: 2328 Describe the surface whose equation is given. x2 + y2 + z2 + 2...
 11.1.27: 2328 Describe the surface whose equation is given. x2 + y2 + z2 3x ...
 11.1.28: 2328 Describe the surface whose equation is given. x2 + y2 + z2 2x ...
 11.1.29: In each part, sketch the portion of the surface that lies in thefir...
 11.1.30: In each part, sketch the graph of the equation in 3space.(a) x = 1...
 11.1.31: In each part, sketch the graph of the equation in 3space.(a) x2 + ...
 11.1.32: In each part, sketch the graph of the equation in 3space.(a) x = y...
 11.1.33: In each part, write an equation for the surface.(a) The plane that ...
 11.1.34: Find equations for the following right circular cylinders.Each cyli...
 11.1.35: 3544 Sketch the surface in 3space. . y = sin x
 11.1.36: 3544 Sketch the surface in 3space. y = ex
 11.1.37: 3544 Sketch the surface in 3space. z = 1 y2
 11.1.38: 3544 Sketch the surface in 3space. z = cos x
 11.1.39: 3544 Sketch the surface in 3space. 2x + z = 3
 11.1.40: 3544 Sketch the surface in 3space. 2x + 3y = 6
 11.1.41: 3544 Sketch the surface in 3space. 4x2 + 9z2 = 36
 11.1.42: 3544 Sketch the surface in 3space. z = 3 x
 11.1.43: 3544 Sketch the surface in 3space. y2 4z2 = 4
 11.1.44: 3544 Sketch the surface in 3space. yz = 1
 11.1.45: Use a graphing utility to generate the curve y = x3/(1 + x2)in the ...
 11.1.46: Use a graphing utility to generate the curve y = x/(1 + x4)in the x...
 11.1.47: If a bug walks on the spherex2 + y2 + z2 + 2x 2y 4z 3 = 0how close ...
 11.1.48: Describe the set of all points in 3space whose coordinatessatisfy ...
 11.1.49: Describe the set of all points in 3space whose coordinatessatisfy ...
 11.1.50: The distance between a point P (x, y, z) and the pointA(1, 2, 0) is...
 11.1.51: As shown in the accompanying figure, a bowling ball of radiusR is p...
 11.1.52: . Consider the equationx2 + y2 + z2 + Gx + Hy + I z + J = 0and let ...
 11.1.53: (a) The accompanying figure shows a surface of revolutionthat is ge...
 11.1.54: In each part, use the idea in Exercise 53(a) to derive a formulafor...
 11.1.55: Show that for all values of and , the point(a sin cos ,a sin sin ,a...
 11.1.56: Writing Explain how you might determine whether a setof points in 3...
 11.1.57: Writing Discuss what happens geometrically when equationsin x, y, a...
Solutions for Chapter 11.1: RECTANGULAR COORDINATES IN 3SPACE; SPHERES; CYLINDRICAL SURFACES
Full solutions for Calculus: Early Transcendentals,  10th Edition
ISBN: 9780470647691
Solutions for Chapter 11.1: RECTANGULAR COORDINATES IN 3SPACE; SPHERES; CYLINDRICAL SURFACES
Get Full SolutionsThis textbook survival guide was created for the textbook: Calculus: Early Transcendentals, , edition: 10. Since 57 problems in chapter 11.1: RECTANGULAR COORDINATES IN 3SPACE; SPHERES; CYLINDRICAL SURFACES have been answered, more than 38316 students have viewed full stepbystep solutions from this chapter. Chapter 11.1: RECTANGULAR COORDINATES IN 3SPACE; SPHERES; CYLINDRICAL SURFACES includes 57 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions. Calculus: Early Transcendentals, was written by and is associated to the ISBN: 9780470647691.

Boundary
The set of points on the “edge” of a region

Constant
A letter or symbol that stands for a specific number,

Eccentricity
A nonnegative number that specifies how offcenter the focus of a conic is

Feasible points
Points that satisfy the constraints in a linear programming problem.

Graph of an inequality in x and y
The set of all points in the coordinate plane corresponding to the solutions x, y of the inequality.

Halfangle identity
Identity involving a trigonometric function of u/2.

Horizontal Line Test
A test for determining whether the inverse of a relation is a function.

Independent events
Events A and B such that P(A and B) = P(A)P(B)

Inferential statistics
Using the science of statistics to make inferences about the parameters in a population from a sample.

Irrational zeros
Zeros of a function that are irrational numbers.

Line of travel
The path along which an object travels

Logarithm
An expression of the form logb x (see Logarithmic function)

Minor axis
The perpendicular bisector of the major axis of an ellipse with endpoints on the ellipse.

Negative linear correlation
See Linear correlation.

Positive association
A relationship between two variables in which higher values of one variable are generally associated with higher values of the other variable, p. 717.

Present value of an annuity T
he net amount of your money put into an annuity.

Quantitative variable
A variable (in statistics) that takes on numerical values for a characteristic being measured.

Root of a number
See Principal nth root.

Symmetric difference quotient of ƒ at a
ƒ(x + h)  ƒ(x  h) 2h

Terms of a sequence
The range elements of a sequence.