Use the product rule to simplify the expression. Assume that the variables can be any real number.

A. x8
B. x9
C. 8x
D. x6


Answer: A

Mathematics

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Find the flux of the vector field F across the surface S in the indicated direction.F = 3x2j  - z3k; S is the portion of the parabolic cylinder y = 6x2 for which 0 ? z ? 5 and -2 ? x ? 2; direction is outward (away from the y-z plane)

A. - 80 B. 240 C. -240 D. 80

Mathematics

Use elimination to solve each system of equations, if possible. Identify the system as consistent or inconsistent. If the system is consistent, state whether the equations are dependent or independent. x + 3y = -96x + 4y = -12

A. Inconsistent
B. (1, -4); consistent and independent
C.

(0, -3); consistent and independent

D. (3, 0); consistent and independent

Mathematics

Based on data obtained from the Census Bureau, the manager of Plymouth Van Lines estimates that the percent of the total population relocating in year t ( corresponds to the year 1960) may be approximated by the formula  .

?
Compute P'(10), P?'(20), and P?'(30).
?

A.  

?


B.  

?


C. ?

?


D. ?

?


E. ?

?


Mathematics

Use a graphing device to find the solutions of the equation, correct to two decimal places. 3lnx = 6 -2x

What will be an ideal response?

Mathematics