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Find the Domain and Range and Describe the Level Curves

Question 175

Multiple Choice

Find the domain and range and describe the level curves for the function f(x,y) .
-f(x, y) = Find the domain and range and describe the level curves for the function f(x,y) . -f(x, y)  =   A)   Domain: all points in the xy-plane satisfying  x<sup>2</sup>  + y<sup>2</sup>  =  100; range: real numbers 0 ≤ z ≤  10; level curves: circles with centers at (0, 0)  and radii r, 0 < r ≤  10    B)   Domain: all points in the xy-plane satisfying    x<sup>2</sup>  + y<sup>2</sup>   ≤  100; range: real numbers 0 ≤ z ≤  10; level curves: circles with centers at (0, 0)  and radii r, 0 < r ≤  10    C)   Domain: all points in the xy-plane; range: real numbers 0 ≤ z ≤  10; level curves: circles with centers at (0, 0)  and radii r, 0 < r ≤  10    D)   Domain: all points in the xy-plane; range: all real numbers; level curves: circles with centers at   (0,0)


A) Domain: all points in the xy-plane satisfying x2 + y2 = 100; range: real numbers 0 ≤ z ≤ 10; level curves: circles with centers at (0, 0) and radii r, 0 < r ≤ 10

B) Domain: all points in the xy-plane satisfying x2 + y2 ≤ 100; range: real numbers 0 ≤ z ≤ 10; level curves: circles with centers at (0, 0) and radii r, 0 < r ≤ 10

C) Domain: all points in the xy-plane; range: real numbers 0 ≤ z ≤ 10; level curves: circles with centers at (0, 0) and radii r, 0 < r ≤ 10

D) Domain: all points in the xy-plane; range: all real numbers; level curves: circles with centers at (0,0)

Correct Answer:

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