Find the flux of the vector field F across the surface S in the indicated direction.F(x, y, z) = 8i + y8z8j - y8z8k , S is the rectangular surface x = 0, -1 ? y ? 1, and -3 ? z ? 3, direction i

A. 0
B. 48
C. 96
D. 12


Answer: C

Mathematics

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Solve the problem.At Bargain Car Rental, the cost of renting an economy car for one day is $19.95 plus 20 cents per mile. At Best Deal Car Rental, the cost of renting a similar car for one day is $24.95 plus 15 cents per mile. Solve the inequality 24.95 + 0.15x < 19.95 + 0.20x to find the range of miles driven such that Best Deal is a better deal than Bargain.

A. x < 10 mi B. x > 10 mi C. x > 100 mi D. x < 100 mi

Mathematics

Factor the expression. Express your answer so that only positive exponents occur. 9x4/7 - 11x-6/7

A. x4/7(9x10/7 - 11x10/11) B. x-6/7(9x10/7 - 11x) C. x-6/7(9x10/7 - 11) D. x1/3(9 - 11x10/11)

Mathematics

Solve the problem.A constant force F = 41i + 25j  moves an object along a vector D = 19i - 12j, where units are in pounds and feet. Find the work done.

A. 1079.1 foot-pounds B. 1079 foot-pounds C. 479 foot-pounds D. -1079 foot-pounds

Mathematics

Solve the equation. -  = 

A. {- }
B. {-5}
C. {- }
D. ?

Mathematics