CALCULUS AND ITS APPLICATIONS BRIEF
12th Edition
ISBN: 9780135998229
Author: BITTINGER
Publisher: PEARSON
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Chapter PSDT, Problem 13BP
To determine
To Find: The value of
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3.1 Limits
1. If lim f(x)=-6 and lim f(x)=5, then lim f(x). Explain your choice.
x+3°
x+3*
x+3
(a) Is 5
(c) Does not exist
(b) is 6
(d) is infinite
1 pts
Let F and G be vector fields such that ▼ × F(0, 0, 0) = (0.76, -9.78, 3.29), G(0, 0, 0) = (−3.99, 6.15, 2.94), and
G is irrotational. Then sin(5V (F × G)) at (0, 0, 0) is
Question 1
-0.246
0.072
-0.934
0.478
-0.914
-0.855
0.710
0.262
.
2. Answer the following questions.
(A) [50%] Given the vector field F(x, y, z) = (x²y, e", yz²), verify the differential identity
Vx (VF) V(V •F) - V²F
(B) [50%] Remark. You are confined to use the differential identities.
Let u and v be scalar fields, and F be a vector field given by
F = (Vu) x (Vv)
(i) Show that F is solenoidal (or incompressible).
(ii) Show that
G =
(uvv – vVu)
is a vector potential for F.
Chapter PSDT Solutions
CALCULUS AND ITS APPLICATIONS BRIEF
Ch. PSDT - Write an equivalent expression for each of the...Ch. PSDT - Write an equivalent expression for each of the...Ch. PSDT - Write an equivalent expression for each of the...Ch. PSDT - Write an equivalent expression for each of the...Ch. PSDT - Write an equivalent expression for each of the...Ch. PSDT - Write an equivalent expression for each of the...Ch. PSDT - Write an equivalent expression for each of the...Ch. PSDT - Prob. 8APCh. PSDT - Multiply. 9. x5x6Ch. PSDT - Multiply. 10. x2x9
Ch. PSDT - Multiply. 11. 2x35x44x10Ch. PSDT - Divide. 12. a2a2Ch. PSDT - Divide. 13. b3b5Ch. PSDT - Simplify. Express each answer without a negative...Ch. PSDT - Simplify. Express each answer without a negative...Ch. PSDT - Multiply. 16. 3x5Ch. PSDT - Multiply. 17. x5x+3Ch. PSDT - Prob. 18APCh. PSDT - Prob. 19APCh. PSDT - Prob. 20APCh. PSDT - Prob. 21APCh. PSDT - Prob. 22APCh. PSDT - Factor. 23. x25x14Ch. PSDT - Factor. 24. 6x2+7x5Ch. PSDT - Prob. 25APCh. PSDT - Prob. 26APCh. PSDT - Solve. 27. 3x(x2)(5x+4)=0Ch. PSDT - Solve. 28. 4x3=xCh. PSDT - Solve. 29. 2xx36x=18x23xCh. PSDT - Solve 30. 178x5x4Ch. PSDT - Prob. 31APCh. PSDT - Raggs, Ltd., a clothing firm, determines that its...Ch. PSDT - Prob. 1BPCh. PSDT - Prob. 2BPCh. PSDT - Graph. 3. y=x21Ch. PSDT - Prob. 4BPCh. PSDT - Prob. 5BPCh. PSDT - Prob. 6BPCh. PSDT - Graph the function f:...Ch. PSDT - Write interval notation for x4x5.Ch. PSDT - Find the domain of f:f(x)=32x5.Ch. PSDT - Find the slope and y-intercept of the graph of...Ch. PSDT - Prob. 11BPCh. PSDT - Find the slope of the line containing the points...Ch. PSDT - Prob. 13BPCh. PSDT - Prob. 14BPCh. PSDT - Prob. 15BPCh. PSDT - Graph. 16. g(x)=x3Ch. PSDT - Prob. 17BPCh. PSDT - Prob. 18BPCh. PSDT - Graph. 19. f(x)=xCh. PSDT - Suppose that $1000 is earning 5 interest,...
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- Question 2 Let F be a solenoidal vector field, suppose V × F = (-8xy + 12z², −9x² + 4y² + 9z², 6y²), and let (P,Q,R) = V²F(.725, —.283, 1.73). Then the value of sin(2P) + sin(3Q) + sin(4R) is -2.024 1.391 0.186 -0.994 -2.053 -0.647 -0.588 -1.851 1 ptsarrow_forward1 pts Let F and G be vector fields such that ▼ × F(0, 0, 0) = (0.76, -9.78, 3.29), G(0, 0, 0) = (−3.99, 6.15, 2.94), and G is irrotational. Then sin(5V (F × G)) at (0, 0, 0) is Question 1 -0.246 0.072 -0.934 0.478 -0.914 -0.855 0.710 0.262 .arrow_forwardanswerarrow_forward
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