Use the root test to determine if the series converges or diverges.
A. Converges
B. Diverges
Answer: A
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Find the value.Find F(f(t), g(t)) if F(x, y) = x4 + ey and f(t) = et/4, g(t) = ln t4
A. et + t4 B. et/4 + e4 ln t C. et/4 + t4 D. e + t4
Solve the differential equation.3y'' + 5y' - 28y = 0
A. y = C1e4x + C2e(-7/3)x B. y = C1e-4x + C2e(7/3)x C. y = C1e-4x + C2e(-7/3)x D. y = C1e-4x + C2e7x
Write out the sum. Do not evaluate.
A. 2 + 22 + 23 + ... + 2n+1 B. 22 + 23 + 24 + ... + 2n C. 22 + 23 + 24 + ... + 2n+1 D. 2 + 22 + 23 + ... + 2n
The following table shows the results of a survey of authors by a (fictitious) publishing company: New AuthorsEstablished AuthorsTotalSuccessful52530Unsuccessful155570Total2080100? Consider the following events:S: An author is successful; U: An author is unsuccessful; N: An author is new; and E: An author is established.Are the events S and N mutually exclusive?
What will be an ideal response?