Find the gradient field F of the function f.f(x, y, z) = 
A. F = 
i + 
j + 
k
B. F = - 
i - 
j - 
k
C. F = - 
i - 
j - 
k
D. F = 
i + 
j + 
k
Answer: C
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Find the rectangular-coordinate equation for the parametric equations given. x = 2cos²t, y = 2sin²t
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Solve the given applied problems involving variation.The weight of a liquid varies directly as its volume V. If the weight of the liquid in a cubical container 4 cm on a side is 128 g, find the weight of the liquid in a cubical container 5 cm on a side.
A. 125 g B. 250 g C. 105 g D. 10 g
Express the transform of the given expression in terms of s and ?
.y" - 2y' + 4y, f 
= 1, f' 
= 4
A. 
?
+ s - 6
B. 
?
- s - 2
C. 
?
- s - 2
D. 
?
- s - 2
Find the weighted mean of the numbers in the table. Round to the nearest tenth.Find the mean salary for the employees. Round to the nearest thousand dollars. 
A. $41,000 B. $40,000 C. $45,000 D. $39,000