Find the integral using an appropriate trigonometric substitution.
Mathematics
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Parametrize the surface S.S is the portion of the paraboloid z = 5x2 + 5y2 that lies between z = 3 and z = 7.
What will be an ideal response?
Mathematics
Answer the question.Suppose that an > 0 and bn > 0 for all n ? N (N an integer). If 
= ?, what can you conclude about the convergence of 
?
A. 
diverges if 
diverges, and 
converges if 
converges
B. The convergence of an cannot be determined.
C. 
converges if 
converges
D. 
diverges if 
diverges
Mathematics
Solve the double inequality.-20 < -5a ? 0
A. 0 ? a < 4 B. 0 < a < 4 C. 0 ? a ? 4 D. -4 < a ? 0
Mathematics
Supply the missing numbers. Round decimals to the nearest thousandth and percents to the nearest tenth of a percent.fractiondecimalpercent1
A. 1.787 1,787% B. 1.667 16.67% C. 1.787 178.7% D. 1.667 166.7%
Mathematics