Determine the convergence or divergence of the series using any appropriate test from this chapter. Identify the test used.
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A. both diverges; Ratio Test and Theorem 9.9 (nth Term Test for Divergence)
B. converges; Integral Test
C. diverges; Theorem 9.9 (nth Term Test for Divergence)
D. converges; p-series
E. diverges; Ratio Test
Answer: C
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Find the domain and range and describe the level curves for the function f(x,y).f(x, y) = ln (6x + 6y)
A. Domain: all points in the xy-plane satisfying 6x + 6y > 0; range: real numbers z ? 0; level curves: lines
B. Domain: all points in the xy-plane satisfying 6x + 6y > 0; range: all real numbers; level curves: lines
C. Domain: all points in the xy-plane; range: all real numbers; level curves: lines
D. Domain: all points in the xy-plane satisfying 6x + 6y ? 0; range: all real numbers; level curves: lines
Provide an appropriate response.You are graphing 2x2 + 3y2 > 5. You have drawn the graph of What single point will allow you to determine the correct region?
A. (2, 5) B. (3, 5) C. (2, 3) D. The origin
Solve and check. =
A. x = 14
B. x = 2
C. x = 36
D. x =
Add or subtract, as indicated.5.759 - (-0.31)
A. 6.069 B. 5.449 C. 6.169 D. 1.785