Could you solve this calculus math problem related to little-oh ?
Remember that the little-oh notation means that an expression f(x) is o(x^n) if f(x)/x^n-->0 as x-->0. i) Here n=1 and f(x) = (1+x^2+1)(1+x^2-1) = (2+x^2)*x^2 so f(x)/x = x(2+x^2) -->0 as x-->0, so the statement is true. ii) Here n=2 and f(x) is the same so f(x)/x^2 = (2+x^2) --> 2 as x-->0, so the statement is false.
How to solve this math problem (not homework related)?
I am overthinking a math problem. It's late and my brain is slowing down. I could use some help. Assume a runner runs 14 kilometers in 45 minutes and 30 seconds. Write a program that displays the average speed in miles per hour. Assume one mile is equal to 1.6 kilometers. so the "program" is referring to computer programming which I am practicing. But I don't care about that right now its the math. I understand 45 m and 30 seconds translates into 2,730 seconds. Divide that by fourteen and you have 195 seconds per kilometer or 3 minutes and 15 seconds per kilometer?! Well this guy is pretty fast. But I digress. So to get the miles I divide 14 by 1.6, isn't that right? That gets me 8.75 miles according to my calculator. So he traveled 8.75 miles in 2730 seconds Divide 2730 seconds by 8.75 miles gets you 1 mile per 312 seconds. That's 5 minutes and twelve seconds. Ok, so now I'm starting to slow down. How do I translate this to MPH?
Can you solve this math problem?
cos (7pi/8) = cos (pi - pi/8) = -cos(pi/8) -------------- cos(pi-x) = -cosx cos(pi/8) = cos((pi/4)/2) = √((1+cos(pi/4))/2) =√((1+1/√2)/2) 0.9239 cos(7pi/8) = -0.9239
How has math helped you to solve real life problems?
I found an extra £25,000 to help buy an apartment that I wouldn’t otherwise be able to afford, by examining the time-dependent combinations of salary, savings, additional income opportunities and related expenses including tax, mortgage options, and when it was best to cash in an insurance policy, all by using an Excel spreadsheet to relate all the cash-flows involved.The maths was in principle simple, but the whole spreadsheet was quite complicated.Later, I built a spreadsheet forecast for the purchase of the freehold of a mansion block of 153 flats (apartments, for US readers) from the existing landlords, along with estimates of the future income, maintenance costs and potential dividends, to provide the basis for convincing over 100 other resident leaseholders to join the enterprise - which they did, 6 years ago. (So the block is owned jointly by ~2/3 of the leaseholders who are also shareholders in our own freehold company.)More-advanced maths enabled me, earlier in my career, to calculate the spectral properties of short-lived chemical-reaction intermediates, using molecular quantum mechanics calculations, in order to clarify a reaction mechanism.Quite often I use regression analysis on personal data to guide some types of health decision, such as a relationship between average sleep and body mass (both of which fluctuate, quite widely, for me).And when I’m undergoing stressful dental operations, I do maths problems in my head to distract me from any pain that’s not fully suppressed by a local anaesthetic…That’s a fair cross section, for now.
Could someone help me solve this math problem ?
20 180p + 60s = 3000 p = 10 180x10 + 60s = 3000 60s = 3000 - 1800 = 1200 s = 1200/60 = 20
How do I solve this math problem related to kill/death ratios?
These numbers are not made up. Consider a multiplayer shooting game. Your kill/death ratio is shown in the form of a percentage from %0 to %100 Consider the following scores and their relative ratios rounded to the nearest tenth: 0 kills - 1 death : %0.0 1 kill - 0 deaths: %100 1 kill - 1 death : %50.0 ratio 2 kills - 1 death : %66.7 ratio 3 kills - 1 death : %75.0 ratio 4 kills - 1 death : %80.0 ratio 5 kills - 1 death : %83.3 ratio 6 kills - 1 death : %85.7 ratio 7 kills - 1 death : %87.5 ratio 8 kills - 1 death : %88.9 ratio 9 kills - 1 death : %90.0 ratio 10 kills - 1 death: %90.9 ratio How is the kill/death ratio determined and represented with respect to the numbers? What relationship do they have with respect to each other?