Find the gradient field F of the function f.f(x, y, z) = ln (x4 + y7 + z7)
A. F = 
ln ( y7 + z7)i + 
ln (x4 + z7)j + 
ln ( x4 + y7)k
B. F = 
i + 
j + 
k
C. F = 
i + 
j + 
k
D. F = 
i + 
j + 
k
Answer: C
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A. 4053
B. 
C. - 4053
D. - 
Evaluate the improper integral or state that it is divergent.
A. -2.5556 B. 0.3333 C. Divergent D. -4.667
Solve the problem.The president of a certain university makes three times as much money as one of the department heads. If the total of their salaries is $290,000, find each worker's salary.
A. president's salary = $217,500; department head's salary = $72,500 B. president's salary = $145,000; department head's salary = $72,500 C. president's salary = $72,500; department head's salary = $217,500 D. president's salary = $21,750; department head's salary = $7250
Write the ratio in lowest terms in order to decide whether the proportion is true or false.
= 
A. True B. False