Suppose the partial derivatives of a Lagrange function F(x, y, ?) are 
= 2 - 8?x, 
= 1 -2?y, 
What values of x and y minimize F(x, y, ?)? (Assume x and y are positive.)
A. (4, 2)
B. (2, 4)
C. (2
, 
)
D. (2, 
)
E. none of these
Answer: B
Mathematics
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Write the expression as a product of a whole number and a power of 10. Use an exponent to represent the power of 10.0.004
A. 0.4 × 10-2 B. 4 × 10-3 C. 4 × 10-2 D. 4 × 10-1
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Solve this equation.-16k = 16
A. k = 16 B. k = 0 C. k = -1 D. k = 1
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Solve.-8x = 3
A. - 
B. - 
C. 
D. 
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Perform the operation. Write the answer as a fraction in lowest terms.
? 
A. 
B. 
C. 
D. 1
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