 16.7.1: Let be the boundary surface of the box enclosed by the planes , , ,...
 16.7.2: A surface consists of the cylinder , , together with its top and bo...
 16.7.3: Let be the hemisphere , and suppose is a continuous function with ,...
 16.7.4: Suppose that , where is a function of one variable such that . Eval...
 16.7.5: 520 Evaluate the surface integral.xxS x y z dSS x is the parallelog...
 16.7.6: 520 Evaluate the surface integral.xxS xyz dSS is the cone with para...
 16.7.7: 520 Evaluate the surface integral.xxS y dS Sru, v u cos v, u sin v,...
 16.7.8: 520 Evaluate the surface integral.xxS x 2 y 2 dSSru, v 2uv, u2 v2, ...
 16.7.9: 520 Evaluate the surface integral.xxS x 2yz dSS is the part of the ...
 16.7.10: 520 Evaluate the surface integral.xxS xz dSSis the part of the plan...
 16.7.11: 520 Evaluate the surface integral.xxS x dSS is the triangular regio...
 16.7.12: 520 Evaluate the surface integral.xxS y dSz 0 x 1 0 y 1 23 x 32 y 32 S
 16.7.13: 520 Evaluate the surface integral.xxS x 2z2 dSz2 x 2 y 2 Ss the par...
 16.7.14: 520 Evaluate the surface integral.xxS z dSx y 2z 0 y 1 0 z 1 2 S
 16.7.15: 520 Evaluate the surface integral.xxS y dSy x 2 z2 S
 16.7.16: 520 Evaluate the surface integral.xxS y2 dSx 2 y2 z S
 16.7.17: 520 Evaluate the surface integral.xxS x 2z y 2z dSx z 0 2 y 2 z S 2
 16.7.18: 520 Evaluate the surface integral.xxS xz dSSy x 0 x y 5 2 z2 9xx
 16.7.19: 520 Evaluate the surface integral.xxS z x 2 y dSy2 z S 2is the part...
 16.7.20: 520 Evaluate the surface integral.xxS x 2 y 2 z2 dSis the part of t...
 16.7.21: 2132 Evaluate the surface integral for the given vector field and t...
 16.7.22: 2132 Evaluate the surface integral for the given vector field and t...
 16.7.23: 2132 Evaluate the surface integral for the given vector field and t...
 16.7.24: 2132 Evaluate the surface integral for the given vector field and t...
 16.7.25: 2132 Evaluate the surface integral for the given vector field and t...
 16.7.26: 2132 Evaluate the surface integral for the given vector field and t...
 16.7.27: 2132 Evaluate the surface integral for the given vector field and t...
 16.7.28: 2132 Evaluate the surface integral for the given vector field and t...
 16.7.29: 2132 Evaluate the surface integral for the given vector field and t...
 16.7.30: 2132 Evaluate the surface integral for the given vector field and t...
 16.7.31: 2132 Evaluate the surface integral for the given vector field and t...
 16.7.32: 2132 Evaluate the surface integral for the given vector field and t...
 16.7.33: Evaluate correct to four decimal places, where is the surface , , .
 16.7.34: Find the exact value of , where is the surface z xy 0 x 1 0 y 1
 16.7.35: Find the value of correct to four decimal places, where is the part...
 16.7.36: Find the flux of across the part of the cylinder that lies above th...
 16.7.37: Find a formula for similar to Formula 10 for the case where is give...
 16.7.38: Find a formula for similar to Formula 10 for the case where is give...
 16.7.39: Find the center of mass of the hemisphere , if it has constant density
 16.7.40: Find the mass of a thin funnel in the shape of a cone , , if its de...
 16.7.41: (a) Give an integral expression for the moment of inertia about the...
 16.7.42: Let be the part of the sphere that lies above the plane . If has co...
 16.7.43: A fluid has density and flows with velocity , where and are measure...
 16.7.44: Seawater has density and flows in a velocity field , where and are ...
 16.7.45: Use Gausss Law to find the charge contained in the solid hemisphere...
 16.7.46: Use Gausss Law to find the charge enclosed by the cube with vertice...
 16.7.47: The temperature at the point in a substance with conductivity is . ...
 16.7.48: The temperature at a point in a ball with conductivity is inversely...
 16.7.49: Let be an inverse square field, that is, for some constant , where ...
Solutions for Chapter 16.7: Surface Integrals
Full solutions for Calculus: Early Transcendentals  7th Edition
ISBN: 9780538497909
Solutions for Chapter 16.7: Surface Integrals
Get Full SolutionsSince 49 problems in chapter 16.7: Surface Integrals have been answered, more than 29785 students have viewed full stepbystep solutions from this chapter. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals , edition: 7. Chapter 16.7: Surface Integrals includes 49 full stepbystep solutions. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780538497909.

Bounded interval
An interval that has finite length (does not extend to ? or ?)

Chord of a conic
A line segment with endpoints on the conic

Confounding variable
A third variable that affects either of two variables being studied, making inferences about causation unreliable

Finite sequence
A function whose domain is the first n positive integers for some fixed integer n.

Independent variable
Variable representing the domain value of a function (usually x).

Irrational numbers
Real numbers that are not rational, p. 2.

Length of an arrow
See Magnitude of an arrow.

Logarithmic form
An equation written with logarithms instead of exponents

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

Lower bound for real zeros
A number c is a lower bound for the set of real zeros of ƒ if ƒ(x) Z 0 whenever x < c

Mean (of a set of data)
The sum of all the data divided by the total number of items

Natural exponential function
The function ƒ1x2 = ex.

Parametric equations
Equations of the form x = ƒ(t) and y = g(t) for all t in an interval I. The variable t is the parameter and I is the parameter interval.

PH
The measure of acidity

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

Quotient of complex numbers
a + bi c + di = ac + bd c2 + d2 + bc  ad c2 + d2 i

Reciprocal function
The function ƒ(x) = 1x

Sum of two vectors
<u1, u2> + <v1, v2> = <u1 + v1, u2 + v2> <u1 + v1, u2 + v2, u3 + v3>

Symmetric matrix
A matrix A = [aij] with the property aij = aji for all i and j

Zero of a function
A value in the domain of a function that makes the function value zero.