a,b,c are positive real numbers with abc=1 then prove that (a / a+b⁴+c⁴) + (b / a⁴+b+c⁴) + (c / a⁴+b⁴+c)<=1

a,b,c are positive real numbersabc=1prove that (a / a+b⁴+c⁴) + (b / a⁴+b+c⁴) + (c / a⁴+b⁴+c)<=1

What’s the extraneous

What’s the extraneous solution of 3/c -1/12=5/2c

04/29/19

largest fraction of numbers less than 55 and more than 105 with the mean of 80 and the standard deviation of 5

largest fraction of numbers less than 55 and more than 105 with the mean of 80 and the standard deviation of 5

04/28/19

Find median of unsorted array in $O(n)$ time?

To find the median of an unsorted array, we can make a min-heap in O(n log n) time for n elements, and then we can extract one by one n/2 elements to get the median. But this approach would take... more

04/28/19

If M varies inversely as the cube of r, and M = 8 when R = 4

A) Find the constant of variationB) Find M when r = 5

04/28/19

The sum of twice a number and 10 is between 14 and 20.

04/28/19

What is cos(41) in terms of sine?

04/28/19

Is f(x) =x^3-2 an inverse function? Why or why not?

04/28/19

−1⋅f(−8)−4⋅g(4)=?

How do I do this? Does anyone know the answer?

04/28/19

What is the domain of f(x,y)=ln(xy)?

04/28/19

Please help...Thank you

Assume that adults have IQ scores that are normally distributed with a mean of u equals 105μ= and a standard deviation sigma equals 20σ=. Find the probability that a randomly selected adult has an... more

04/28/19

Statistics...please help me. Thank you.

The claim is that the proportion of peas with yellow pods is equal to 0.25​ (or 25%). The sample statistics from one experiment include 490peas with 101of them having yellow pods. Find the value of... more

Buffered vs unbuffered IO?

I learned that by default I/O in programs is buffered, i.e they are served from a temporary storage to the requesting program.I understand that buffering improves IO performance (maybe by reducing... more

04/28/19

2y < -12x +4 y< -6x +4

Which point is a solution to the system

Given an integer, how do I find the next largest power of two using bit-twiddling?

If I have a integer number `n`, how can I find the next number `k > n` such that `k = 2^i`, with some `i` element of `N` by bitwise shifting or logic.Example: If I have `n = 123`, how can I find... more

04/28/19

Ruby capitalize every word first letter?

I need to make the first character of every word uppercase, and make the rest lowercase... manufacturer.MFA_BRAND.first.upcaseis only setting the first letter uppercase, but I need this: ALFA... more

What is stability in sorting algorithms and why is it important?

I'm very curious, why stability is or is not important in sorting algorithms?

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