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20b(4b3)3
If cos4αx+sin4αy=1x+y, prove that dydx=tan2α
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What is the square root of 45?
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Rearrange the numbers in this division fact to form another division fact and two multiplication facts. 72 ÷ 8 = 9
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Why are metals a good conductor of electricity?
I was trying to prove thatwhere w is a complex number with absolute value smaller than 1 and r∈R, r<1. I saw some solution online, which says we substitute w=meix so that the LHS becomes (m−r)2. How is that true?We have(w−r)(w―−r)=(meix−r)(me−ix−r)=eixe−ix(m−re−ix)(m−reix)=(m−re−ix)(m−reix)
Following data is the raw Data Pertaining to Total Time Hours Worked by Machinists 90 94 03 93 88 4 84 93 93 Which of the following is the probability that the machinists work for 88 hours? 1. 215 2.15 3. 415 4. 35
Consider the space R R of functions from the set of real numbers to the set of real numbers. A real number r is said to be a period of a given function f iff for all real numbers x, f ( x + r ) = f ( x ). I define a periodic set to be the set of periods of a given function. I define a continuous periodic set to be the set of periods of a given continuous function. It is easy to show that R itself and also r ∗ Z are continuous periodic sets, where the latter denotes the product of the real number r with the set of integers. Is the converse true? That is, is every continuous periodic set either R or r ∗ Z ?
Confidence of a failureA joint of steel pipe (casing) has a 1% failure rate. 400 joints of casing are in a typical well. How may wells can I drill or joints can I run, before I am 90% confident of having at least one casing failure? You can leave out the well to simplify the problem: Casing has a 1% failure rate. How many joints of casing can I have before I am 90% confident in having a failure? Thanks for re teaching me. I think it is called gambler's ruin.
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