Concept explainers
a. Is it true that a whole number is divisible by 6 exactly when the sum of its digits is divisible by 6? Investigate this by considering a number of examples. State your conclusion.
b. How could you determine whether the number 111,222,333,444,555,666,777,888,999, 000 is divisible by 6 without using a calculator or doing long division? Explain!
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- Find only the residues don't share the same pic as answer else I'll report Find the residue of F(z) = cot z coth z Don't use any Al tool show ur answer in pe n and paper then take z³ at z = 0.arrow_forward1. [10 points] Given y₁(x) = x²² is a solution to the differential equation x²y"+6xy'+6y=0 (x>0), find a second linearly independent solution using reduction of order.arrow_forwardAn Arts group holds a raffle. Each raffle ticket costs $2 and the raffle consists of 2500 tickets. The prize is a vacation worth $3,000. a. Determine your expected value if you buy one ticket. b. Determine your expected value if you buy five tickets. How much will the Arts group gain or lose if they sell all the tickets?arrow_forward
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