Calculus and Its Applications, Books a la Carte Plus MyLab Math Access Card Package (11th Edition)
11th Edition
ISBN: 9780133862386
Author: Marvin L. Bittinger, David J. Ellenbogen, Scott J. Surgent
Publisher: PEARSON
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Chapter PSDT, Problem 16AP
Multiply.
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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, Books a la Carte Plus MyLab Math Access Card Package (11th Edition)
Ch. PSDT - Express each of the following without an...Ch. PSDT - Express each of the following without an...Ch. PSDT - Express each of the following without an...Ch. PSDT - Prob. 4APCh. PSDT - Express each of the following without an exponent....Ch. PSDT - Prob. 6APCh. PSDT - Prob. 7APCh. PSDT - Prob. 8APCh. PSDT - Prob. 9APCh. PSDT - Multiply. Express each answer without a negative...
Ch. PSDT - Multiply. Express each answer without a negative...Ch. PSDT - Divide. Express each answer without a negative...Ch. PSDT - Prob. 13APCh. PSDT - Simplify. Express each answer without a negative...Ch. PSDT - Simplify. Express each answer without a negative...Ch. PSDT - Multiply. 3(x5)Ch. PSDT - Multiply. (x5)(x+3)Ch. PSDT - Multiply.
18.
Ch. PSDT - Prob. 19APCh. PSDT - Multiply.
20.
Ch. PSDT - Prob. 21APCh. PSDT - Factor. x26xy+9y2Ch. PSDT - Factor.
23.
Ch. PSDT - Factor. 6x2+7x5Ch. PSDT - Factor.
25.
Ch. PSDT - Solve.
26.
Ch. PSDT - Solve.
27.
Ch. PSDT - Solve.
28.
Ch. PSDT - Solve.
29.
Ch. PSDT - Solve.
30.
Ch. PSDT - Solve.
31. After a 5% gain in weight, a grizzly...Ch. PSDT - Solve. Raggs, Ltd., a clothing firm, determines...Ch. PSDT - Graph. y=2x+1Ch. PSDT - Prob. 2BPCh. PSDT - Prob. 3BPCh. PSDT - Prob. 4BPCh. PSDT - A function f is given by f(x)=3x22x+8. Find each...Ch. PSDT - A function f is given by f(x)=(x+3)24. Find all x...Ch. PSDT - Prob. 7BPCh. PSDT - Write interval notation for {x| 4x5}.Ch. PSDT - 9. Find the domain
Ch. PSDT - 10. Find the slope and y-intercept of
Ch. PSDT - 11. Find an equation of the line that has slope 3...Ch. PSDT - 12. Find the slope of the line containing the...Ch. PSDT - Prob. 13BPCh. PSDT - Graph.
14.
Ch. PSDT - Graph. f(x)=1xCh. PSDT - Graph.
16.
Ch. PSDT - Graph. f(x)=xCh. PSDT - 18. Suppose that $1000 is invested at 5%,...
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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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