Find the flux of the vector field F across the surface S in the indicated direction.F(x, y, z) = xyi + yzj + xzk , S is the surface of the rectangular prism formed from the coordinate planes and the planes x = 5, y = 2, and z = 4, direction is outward
A. 100
B. 220
C. 110
D. 440
Answer: B
Mathematics
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Identify the type of surface represented by the given equation. y2 + z2 = 1
A.
| Parabolic cylinder |
B.
| Paraboloid |
C.
| Ellipsoid |
D.
| Cylinder |
Mathematics
Provide an appropriate answer.Find 
when u = 6 and v = 5 if w(x, y, z) = 
, x = 
, y = u + v, and z = 
A. 
= 
B. 
= 
C. 
= 
D. 
= 
Mathematics
A standard deck of cards contains 52 cards. There are 13 cards of each of the four suits: clubs, diamonds, hearts, and spades. In each suit, there is one card of each of the following: 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king, and ace.One card is dealt from a standard deck. Find the probability of being dealt an 8 of diamonds.
A. 
B. 
C. 
D. 
Mathematics
Find the exact value of the expression. Do not use a calculator.cos 60° + tan 60°
A. 
B. 
C. 
D. 2
Mathematics