Find the magnitude and direction angle for the following vector. Give the direction angle as an angle in [0°, 360°) rounded to the nearest tenth.
A. 
, 168.7°
B. 
, 101.3°
C. 
, 78.7°
D. 
, 11.3°
Answer: A
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Solve the problem.For some inexact differential forms df, a function g(x, y, z) can be found such that dh = g(x, y, z) df is exact. When it exists, the function g(x,y,z) is called an "integrating factor". Show that g(x, y, z) = 
is an integrating factor for the inexact differential df = - 
dx + 
dy + 
dz.
What will be an ideal response?
Perform the indicated computations. Write the answer in scientific notation.(3 × 10-3)(6 × 10-4)
A. 180 × 10-7 B. 1.8 × 1012 C. 1.8 × 10-6 D. 18 × 10-6
Solve the problem.The pH of a solution ranges from 0 to 14. An acid has a pH less than 7. Pure water is neutral and has a pH of 7. The pH of a solution is given by 
where x represents the concentration of the hydrogen ions in the solution in moles per liter. Find the hydrogen ion concentration if the 
A. 3.98 × 10-4 B. 3.98 × 10-5 C. 2.51 × 10-4 D. 2.51 × 10-5
Factor the four-term polynomial by grouping.3y - 33 + xy - 11x
A. (x - 11)(3y + x) B. (y - 11)(3 + x) C. (y - 11x)(3 + x) D. (x - 11)(y + 3)