Answer:
The value of x component changes at a rate of
units per second
Step-by-step explanation:
We are given that ![y=x^{\frac{1}{2}}](https://tex.z-dn.net/?f=y%3Dx%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D)
Differentiating on both sides with respect to time we get
![\frac{dy}{dt}=\frac{d\sqrt{x}}{dt}\\\\\frac{dy}{dt}=\frac{1}{2}x^{\frac{-1}{2}}(\frac{dx}{dt})\\\\\frac{dy}{dt}=\frac{1}{2\sqrt{x}}\frac{dx}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdt%7D%3D%5Cfrac%7Bd%5Csqrt%7Bx%7D%7D%7Bdt%7D%5C%5C%5C%5C%5Cfrac%7Bdy%7D%7Bdt%7D%3D%5Cfrac%7B1%7D%7B2%7Dx%5E%7B%5Cfrac%7B-1%7D%7B2%7D%7D%28%5Cfrac%7Bdx%7D%7Bdt%7D%29%5C%5C%5C%5C%5Cfrac%7Bdy%7D%7Bdt%7D%3D%5Cfrac%7B1%7D%7B2%5Csqrt%7Bx%7D%7D%5Cfrac%7Bdx%7D%7Bdt%7D)
It is given that
Solving for
we get
![\frac{dx}{dt}=\frac{dy}{dt}\times 2\sqrt{x}\\\\\frac{dx}{dt}=4\sqrt{x}](https://tex.z-dn.net/?f=%5Cfrac%7Bdx%7D%7Bdt%7D%3D%5Cfrac%7Bdy%7D%7Bdt%7D%5Ctimes%202%5Csqrt%7Bx%7D%5C%5C%5C%5C%5Cfrac%7Bdx%7D%7Bdt%7D%3D4%5Csqrt%7Bx%7D)
Answer:
Product – Attributes of an organization or offering within this segment include delivery system design, technology, quality, services provided and their availability.
Price – This silo of the marketing mix includes costs to users/supporters, payment periods, arrangements and terms. Note: Some have also argued “costs” are more than dollars … a full cost analysis should include emotional (for those seeking greater purpose, advancements, victory), sacrificial (for people giving time, energy, focus) and relational (what does one’s association with an organization do for their relationships … will people think more or less of them).
Place – An often-overlooked part of the marketing mix, this “P” covers strategy and executional elements surrounding service distribution channels, coverage, locations, logistics and e-services.
Promotion – Likely the most known aspect of the marketing mix, this piece considers strategies and tactics related to advertising, logo/identity and promotions. But it also covers development/fundraising, communications, events and public relations as they are all tools to be considered and deployed as part of the greater marketing and branding strategy.
1.) 2=50%
2.) 25% of 30,000= 7500
Irrational
We know that pi is irrational (we can’t express it as a ratio of two numbers), and we are multiplying it by a rational number (-2). However -2 lots of something with infinite digits, will still have infinite digits, therefore it is irrational.