Find the flux of the vector field F across the surface S in the indicated direction.F = 3x2j - z4k; S is the portion of the parabolic cylinder y = 10x2 for which 0 ? z ? 1 and -1 ? x ? 1; direction is outward (away from the y-z plane)
A. - 2
B. 2
C. 6
D. -6
Answer: B
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Solve using matrices.A chemist has prepared two acid solutions, one which is 6% acid by volume and the other which is 10% acid. How many cubic centimeters of each should the chemist mix together to obtain 50 cm3 of 
-acid solution?
A. 6%-solution: 3.76 cm3; 10%-solution: 46.24 cm3 B. 6%-solution: 46.24 cm3; 10%-solution: 3.76 cm3 C. 6%-solution: 25 cm3; 10%-solution: 25 cm3 D. 6%-solution: 31 cm3; 10%-solution: 19 cm3
Using transformations, sketch the graph of the requested function.The graph of a function f is illustrated. Use the graph of f as the first step toward graphing the function F(x), where 
A. 
B. 
C. 
D. 
The letters r and ? represent polar coordinates. Write the equation using rectangular coordinates (x, y).r = 2(sin ? - cos ?)
A. x2 + y2 = 2x - 2y B. x2 + y2 = 2y - 2x C. 2x2 + 2y2 = x - y D. 2x2 + 2y2 = y - x
Perform the indicated operations and simplify the result. Leave the answer in factored form.
A. 
B. 16
C. 
D. 1