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Find the Domain and Range and Describe the Level Curves xyx y

Question 371

Multiple Choice

Find the domain and range and describe the level curves for the function f(x,y) .
-f(x, y) = ln (5x + 4y)


A) Domain: all points in the xyx y -plane; range: all real numbers; level curves: lines 5x+4y=c5 x + 4 y = c
B) Domain: all points in the xy-plane satisfying 5x+4y05 x + 4 y \geq 0 ; range: all real numbers; level curves: lines 5x+4y=c5 x + 4 y = c
C) Domain: all points in the xyx y -plane satisfying 5x+4y>05 x + 4 y > 0 ; range: all real numbers; level curves: lines 5x+4y=c5 x + 4 y = c
D) Domain: all points in the xyx y -plane satisfying 5x+4y>05 x + 4 y > 0 ; range: real numbers z0z \geq 0 ; level curves: lines 5x+4y=c5 x + 4 y = c

Correct Answer:

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