Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
What is the union of the two sets below?
W = {w: w ≥ 0}
N = {n: n < 0}
all positive numbers
all negative numbers
all numbers
there is no union between the sets
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- a, b c and d please thank youarrow_forwardAnswer clearlyarrow_forwardEvaluate the surface integral // (-si + 3zk) - as. Where S consists of the paraboloid y = 2 + z2,0< y< 16 and the disk + z2 < 16, y = 16, and has outward orientation. Consider splitting the surface into its parts S = S1 U S2 where Si is the paraboloid and S2 is the disk. Then we have F. dS = F. dS, + F. dS2 Si can be parametrized by ri (s, t) = (s cos (t), s^2 Σ ssin(t) S2 can be paraetrized by r2 (s, t) = (s cos (t), 16 Σ ssin(t) (-si + 3zk) · ds = (s^2+3ssin(t)"sqrt(4s^4+s*2) E ds dt + |-((s^2+3ssin(t)"sqrt(4s^4+s^2))/2 Σ ds dt (Evaluate S, for the first blank and S2 for the second blank) where t1 = s1 = Σ to = 2pi Σ s2 = 4 Σ Evaluate (-si + 3zk) · dS = 4"4pi + -4^4pi/2 Σ (Evaluate S1 for the first blank and S2 for the second blank) M M M Marrow_forward
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