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Multiple choice help Determine whether the given function satisfies the wave equ

ID: 2847454 • Letter: M

Question

Multiple choice help

Determine whether the given function satisfies the wave equation. w(x, t) = e-9ct cos -9x No Yes w(x, t) = cos (-3ct) sin (-3x) No Yes Find the domain and range and describe the level curves for the function f(x,y). f(x, y) = ln (4x + 3y) Domain: all points in the x-y plane satisfying 4x + 3y > 0; range: all real numbers; level curves: lines 4x + 3y = c Domain: all points in the x-y plane; range: all real numbers; level curves: lines 4x + 3y = c Domain: all points in the x-y plane satisfying 4x + 3y > 0; range: all real numbers; level curves: lines 4x + 3y = c Domain: all points in the x-y plane satisfying 4x + 3y > 0; range: real numbers z > 0; level curves: lines 4x + 3y = c f(x,y)=y+9/x2 Domain: all points in the x-y plane excluding x = 0; range: real numbers z 0; level curves: parabolas y = cx2 - 9 Domain: all points in the x-y plane; range: all real numbers; level curves: parabolas y = cx2 - 9 Domain: all points in the x-y plane; range: real numbers z 0; level curves: parabolas y = cx2 - 9 Domain: all points in the x-y plane excluding x = 0; range: all real numbers; level curves: parabolas y = cx2 - 9 f(x, y) = cos-1(x2 + y2) Domain: all points in the x-y plane; range: all real numbers; level curves: circles with centers at (0, 0) Domain: all points in the x-y plane satisfying x2 + y21; range: real numbers - z; level curves: circles with centers at (0, 0) Domain: all points in the x-y plane; range: real numbers - z ; level curves: circles with centers at (0, 0) Domain: all points in the x-y plane satisfying x- + y2 1; range: real numbers -pi/2 z pi/2;level curves: circles with centers at (0,0) and radii r, 0

Explanation / Answer

1. YES
2 YES
3. C
4 . D
5. B & D