Find the gradient field F of the function f.f(x, y, z) = ln (x9 + y8 + z6)
A. F = 
i + 
j + 
k
B. F = 
ln ( y8 + z6)i + 
ln (x9 + z6)j + 
ln ( x9 + y8)k
C. F = 
i + 
j + 
k
D. F = 
i + 
j + 
k
Answer: C
Mathematics
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A. (q ? ~r) ? ~p B. ~(r ? p) ? q C. q ? (~r ? ~p) D. q ? ~(r ? p)
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Use DeMorgan's laws or a truth table to determine whether the two statements are equivalent.p ? q, ~(~p ? ~q)
A. Not equivalent B. Equivalent
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Solve the inequality.-3x2 + 7x - 5 ? 0
A. 
? x ? 5
B. -3 ? x ? - 
C. All real numbers
D. No solutions
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Simplify the expression. Assume that all variables are positive when they appear.6
+ 5
A. 11
B. -16
C. 16
D. 4
Mathematics