Answer the question, concerning the use of substitution in integration.If we decide to use u = ex2, then which of the following are correct?i)du = 2e dxii)x2 = 
iii) du = 2ex dxiv) du = 
dx
A. Both ii and iii
B. Both i and iii
C. Only iii
D. None of the above
Answer: A
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Solve the problem.
A note is due in 4 years, with interest of 4% compounded semiannually. The face value of the note is $26,000. Find the maturity value of the note and find the minimum sale price of the note if money can be deposited at 8% compounded quarterly. Use the compound interest table.
A. $35,582.80, $22,190.76 B. $30,463.14, $16,264.53 C. $30,463.16, $22,190.89 D. $28,154.27, $20,508.86
Classify the function as a polynomial function, rational function, or root function, and then find the domain. Write the domain in interval notation.f(t) = t2 + 6
A. polynomial function; [-6, ?) B. polynomial function; (-6, ?) C. polynomial function; (-?, ?) D. polynomial function; (-?, -6) ? (-6, ?)
Find the expected value.A new light bulb has been found to have a 0.02 probability of being defective. A shop owner receives 500 bulbs of this kind. How many of these bulbs are expected to be defective?
A. 20 B. 100 C. 10 D. 500
Find all absorbing states for the transition matrix, and indicate whether or not the matrix is that of an absorbing Markov chain.
A. State 1 is absorbing; the matrix is that of an absorbing Markov chain. B. States 1 and 4 are absorbing; the matrix is that of an absorbing Markov chain. C. State 4 is absorbing; the matrix is not that of an absorbing Markov chain. D. States 1 and 4 are absorbing; the matrix is not that of an absorbing Markov chain.