Solve.
= 13
A. 42
B. 168
C. -84
D. 84
Answer: D
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Find the gradient field of the function.f(x, y, z) = ln
+ z4
A. ?f = 
i + 
j + 
k
B. ?f = 
i + 
j + 
k
C. ?f = 
i + 
j + 
k
D. ?f = 
i + 
j + 
k
Find the volume of the described solid.The solid lies between planes perpendicular to the x-axis at x = - 6 and x = 6. The cross sections perpendicular to the x-axis are semicircles whose diameters run from 
to 
A. 576? B. 288? C. 72? D. 144?
If a and b are rational numbers, with a ? 0 and b ? 0, and if m and n are integers, determine if the following is true or false. Justify your answer.(a - b)m = am - bm
A. True; (2 - 1)1 = 21 - 11 B. False; (2 - 1)2 ? 22 - 12
Suppose that the average adult in the United States will work x number of days (rounded to the nearest day) to earn enough to pay for all of the household's leisure activities in that year. This number can be calculated by multiplying the average percent of household income spent on leisure activities by 365 (the number of days in a year). The bar graph shows the percent of income spent in various countries of the world. Use the graph to answer the question.
List all countries in the graph in which more than 15% of household income is spent, on average, for leisure activities.
A. China, Australia, France, Germany B. Germany, Britain, Japan, USA C. Japan, USA D. Britain, Japan, USA