Answer:
250
Step-by-step explanation:
Double the side and subtract by 360
n, n + 2 - two consecutive even integers
2n = (n + 2) - 16
2n = n + 2 - 16
2n = n - 14 |subtract n from both sides
n = -14
n + 2 = -14 + 2 = -12
Answer: -14, -12.
The value of
is ![396](https://tex.z-dn.net/?f=396)
Explanation:
It is given that
and ![y=y(t)](https://tex.z-dn.net/?f=y%3Dy%28t%29)
Also, given that
and
when ![x=22](https://tex.z-dn.net/?f=x%3D22)
Now, we need to determine the value of
when ![x=2](https://tex.z-dn.net/?f=x%3D2)
To determine the value of
when
, we need to differentiate the function
with respect to
Thus, we have,
![\frac{dy}{dt}=3x^2(\frac{dx}{dt} )+0](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdt%7D%3D3x%5E2%28%5Cfrac%7Bdx%7D%7Bdt%7D%20%29%2B0)
Simplifying, we get,
![\frac{dy}{dt}=3x^2(\frac{dx}{dt} )](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdt%7D%3D3x%5E2%28%5Cfrac%7Bdx%7D%7Bdt%7D%20%29)
Substituting
and
, we get,
![\frac{dy}{dt}=3(2)^2(33 )](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdt%7D%3D3%282%29%5E2%2833%20%29)
Squaring the term, we have,
![\frac{dy}{dt}=3(4)(33 )](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdt%7D%3D3%284%29%2833%20%29)
Multiplying the terms, we get,
![\frac{dy}{dt}=396](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdt%7D%3D396)
Thus, the value of
is ![396](https://tex.z-dn.net/?f=396)