Find the flux of the vector field F across the surface S in the indicated direction.F = xzi + yzj + k , S is the cap cut from the sphere x2 + y2 + z2 = 16 by the plane  direction is outward

A. ?
B. 255?
C. - ?
D. ?


Answer: D

Mathematics

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Solve the problem.Two kinds of crated cargo, A and B, are to be shipped by truck. The weight and volume of each type are given in the following table: The shipping company charges $75 per crate for cargo A and $100 per crate for cargo B. The truck has a maximum load limit of 7,200 pounds and 1,000 cubic feet. How many of each type of cargo should be shipped to maximize profit for the shipping company?

A. 18 crates of cargo A, 10 crates of cargo B B. 10 crates of cargo A, 18 crates of cargo B C. 20 crates of cargo A, 0 crates of cargo B D. 0 crates of cargo A, 20 crates of cargo B

Mathematics

Add.22,123 + 11,113 + 11,222

A. 34,558 B. 54,358 C. 44,548 D. 44,458

Mathematics

Evaluate the integral by using a substitution prior to integration by parts.

A.   e [  - 7] + C
B.   e [  - 1] + C
C. (7x + 7) e + C
D.   e  + C

Mathematics

Sketch the graph of the function and find the domain and range.f(x) = (x - 2)2 - 1

A. domain: all real numbers
range: y ? -1

B. domain: all real numbers
range: y ? 2

C. domain: all real numbers
range: y ? -2
 
D. domain: all real numbers
range: y ? -1

Mathematics