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Math
Calculus
CALCULUS EARLY TRANS.LLF W/WEBASSGN CODE
Chapter 16.7, Problem 33E
Chapter 16.7, Problem 33E
BUY
CALCULUS EARLY TRANS.LLF W/WEBASSGN CODE
9th Edition
ISBN:
9780357537305
Author: Stewart
Publisher:
CENGAGE L
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1 Functions And Models
2 Limits And Derivatives
3 Differentiation Rules
4 Applications Of Differentiation
5 Integrals
6 Applications Of Integration
7 Techniques Of Integration
8 Further Applications Of Integration
9 Differential Equations
10 Parametric Equations And Polar Coordinates
11 Sequences, Series, And Power Series
12 Vectors And The Geometry Of Space
13 Vector Functions
14 Partial Derivatives
15 Multiple Integrals
16 Vector Calculus
A Numbers, Inequalities, And Absolute Values
B Coordinate Geometry And Lines
C Graphs Of Second-degree Equations
D Trigonometry
E Sigma Notation
F Proofs Of Theorems
G The Logarithm Defined As An Integral
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16.1 Vector Fields
16.2 Line Integrals
16.3 The Fundamental Theorem For Line Integrals
16.4 Green's Theorem
16.5 Curl And Divergence
16.6 Parametric Surfaces And Their Areas
16.7 Surface Integrals
16.8 Stokes' Theorem
16.9 The Divergence Theorem
16.10 Summary
Chapter Questions
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Problem 1E: LetSbe the surface of the box enclosed by the planesx= 1,y= 1, z = 1. Approximate Scos(x + 2y+ 3z)...
Problem 2E: A surface S consists of the cylinderx2+ y2=1, 1 z 1, together with its top and bottom disks....
Problem 3E
Problem 4E: Suppose thatf(x, y,z)=g(), where g is a function of one variable such thatg(2) =5. Evaluate S f(x,...
Problem 5E
Problem 6E: Evaluate the surface integral. 6. s xyz dS, Sis the cone with parametric equationsx = ucosv, y = u...
Problem 7E: Evaluate the surface integral. 7. s y dS,Sis the helicoid with vector equation r(u,v) = ucosv,...
Problem 8E: Evaluate the surface integral. 8.s (x2+ y2)dS, Sis the surface with vector equation r(u,v)=2uv, u2...
Problem 9E: Evaluate the surface integral. 9. s x2yz dS, Sis the part of the planez = 1 + 2x + 3ythat lies above...
Problem 10E: Evaluate the surface integral. 10. s xz dS, S is the part of the plane 2x + 2y + z = 4 that lies in...
Problem 11E: Evaluate the surface integral. 11. s x dS, S is the triangular region with vertices (1, 0, 0), (0,...
Problem 12E: Evaluate the surface integral. 12. s y dS, S is the surface z=23(x3/2+y3/2),0x1,0y1
Problem 13E: Evaluate the surface integral. 13. s z2dS, S is the part of the paraboloid x = y2 + z2 given by 0 x...
Problem 14E: Evaluate the surface integral. 14. s y2z2 dS, S is the part of the cone y=x2+z2 given by 0 y 5
Problem 15E
Problem 16E: Evaluate the surface integral. 16 s y2 dS, S is the part of the sphere x2 + y2 + z2 = 1 that lies...
Problem 17E: Evaluate the surface integral. 17. s (x2z + y2z)dS, S is the hemisphere x2 + y2 + z2 = 4, z 0
Problem 18E: Evaluate the surface integral. 18. s (x + y + z) dS, S is the part of the half-cylinder x2 + z2 = 1....
Problem 19E
Problem 20E: Evaluate the surface integral. 20. s (x2 + y2 + z2) dS, S is the part of the cylinder x2 + y2 = 9...
Problem 21E: Evaluate the surface integral s F dS for the given vector field F and the oriented surface S. In...
Problem 22E: Evaluate the surface integral s F dS for the given vector field F and the oriented surface S. In...
Problem 23E: Evaluate the surface integral s F dS for the given vector field F and the oriented surface S. In...
Problem 24E
Problem 25E: Evaluate the surface integral s F dS for the given vector field F and the oriented surface S. In...
Problem 26E: Evaluate the surface integral s F dS for the given vector field F and the oriented surface S. In...
Problem 27E: F(x,y,z)=yz, S consists of the paraboloid y=x2+z2,0y1 , and the disk x2+z21,y=1
Problem 28E: Evaluate the surface integral s F dS for the given vector field F and the oriented surface S. In...
Problem 29E
Problem 30E
Problem 31E
Problem 32E
Problem 33E
Problem 34E
Problem 35E
Problem 36E
Problem 37E
Problem 38E: Find a formula for s F dS similar to Formula 10 for the case where S is given by x = k(yy z) and n...
Problem 39E: Find the center of mass of the hemisphere x2 + y2 + z2 = a2, z 0, if it has constant density.
Problem 40E: Find the mass of a thin funnel in the shape of a cone z=x2+y2, 1 z 4, if its density function is...
Problem 41E: (a) Give an integral expression for the moment of inertia I about the z-axis of a thin sheet in the...
Problem 42E: Let S be the part of the sphere x2 + y2 + z2 = 25 that lies above the plane z = 4. If S has constant...
Problem 43E
Problem 44E
Problem 45E: Use Gausss Law to find the charge contained in the solid hemisphere x2 + y2 + z2 a2, z 0, if the...
Problem 46E: Use Gausss Law to find the charge enclosed by the cube with vertices (1, 1, 1) if the electric field...
Problem 47E: The temperature at the point (x, y, z) in a substance with conductivity K = 6.5 is u(x, y, z) = 2y2...
Problem 48E
Problem 49E: Let F be an inverse square field, that is, |F(r) = cr/|r|3 for some constant c, where r = x i + y j...
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