 7.2.1: Let X(s, t) = (s,s + t, t), 0 s 1, 0 t 2. Find X (x 2 + y2 + z2 ) d S.
 7.2.2: Let D = {(s, t)  s2 + t 2 1, s 0, t 0} and let X: D R3 be defined ...
 7.2.3: Find the flux of F = x i + y j + z k across the surface S consistin...
 7.2.4: This problem concerns the two surfaces given parametrically as X(s,...
 7.2.5: Find S x 2 d S, where S is the surface of the cube [2, 2] [2, 2] [2...
 7.2.6: Find S(x 2 + y2) d S, where S is the lateral surface of the cylinde...
 7.2.7: Let S be a sphere of radius a. (a) Find S(x 2 + y2 + z2) d S. (b) U...
 7.2.8: Let S denote the sphere x 2 + y2 + z2 = a2. (a) Use symmetry consid...
 7.2.9: Let S denote the surface of the cylinder x 2 + y2 = 4, 2 z 2, and c...
 7.2.10: In Exercises 1018, let S denote the closed cylinder with bottom giv...
 7.2.11: In Exercises 1018, let S denote the closed cylinder with bottom giv...
 7.2.12: In Exercises 1018, let S denote the closed cylinder with bottom giv...
 7.2.13: In Exercises 1018, let S denote the closed cylinder with bottom giv...
 7.2.14: In Exercises 1018, let S denote the closed cylinder with bottom giv...
 7.2.15: In Exercises 1018, let S denote the closed cylinder with bottom giv...
 7.2.16: In Exercises 1018, let S denote the closed cylinder with bottom giv...
 7.2.17: In Exercises 1018, let S denote the closed cylinder with bottom giv...
 7.2.18: In Exercises 1018, let S denote the closed cylinder with bottom giv...
 7.2.19: In Exercises 1922, find the flux of the given vector field F across...
 7.2.20: In Exercises 1922, find the flux of the given vector field F across...
 7.2.21: In Exercises 1922, find the flux of the given vector field F across...
 7.2.22: In Exercises 1922, find the flux of the given vector field F across...
 7.2.23: Let S be the parametrized helicoid X(s, t) = (s cost,s sin t, t), w...
 7.2.24: Let F = 2x i + 2y j + z2 k. Find S F dS, where S is the portion of ...
 7.2.25: Find the flux of F = y3z i x y j + (x + y + z) k across the portion...
 7.2.26: Let S denote the tetrahedron with vertices (0, 0, 0), (1, 0, 0), (0...
 7.2.27: Let S be the funnelshaped surface defined by x 2 + y2 = z2 for 1 z...
 7.2.28: The glass dome of a futuristic greenhouse is shaped like the surfac...
 7.2.29: The surface given byX(s, t) = (x(s, t), y(s, t),z(s, t)), where x =...
Solutions for Chapter 7.2: Surface Integrals
Full solutions for Vector Calculus  4th Edition
ISBN: 9780321780652
Solutions for Chapter 7.2: Surface Integrals
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Chapter 7.2: Surface Integrals includes 29 full stepbystep solutions. Since 29 problems in chapter 7.2: Surface Integrals have been answered, more than 12824 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Vector Calculus, edition: 4. Vector Calculus was written by and is associated to the ISBN: 9780321780652.

Absolute maximum
A value ƒ(c) is an absolute maximum value of ƒ if ƒ(c) ? ƒ(x) for all x in the domain of ƒ.

Bar chart
A rectangular graphical display of categorical data.

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

Complex fraction
See Compound fraction.

Conic section (or conic)
A curve obtained by intersecting a doublenapped right circular cone with a plane

Dependent variable
Variable representing the range value of a function (usually y)

equation of a quadratic function
ƒ(x) = ax 2 + bx + c(a ? 0)

Equivalent arrows
Arrows that have the same magnitude and direction.

Geometric series
A series whose terms form a geometric sequence.

Horizontal translation
A shift of a graph to the left or right.

Hypotenuse
Side opposite the right angle in a right triangle.

Inequality symbol or
<,>,<,>.

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

Principle of mathematical induction
A principle related to mathematical induction.

Randomization
The principle of experimental design that makes it possible to use the laws of probability when making inferences.

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

Reciprocal function
The function ƒ(x) = 1x

Solve a triangle
To find one or more unknown sides or angles of a triangle

Zero factor property
If ab = 0 , then either a = 0 or b = 0.

Zero vector
The vector <0,0> or <0,0,0>.