Answer:
From the plot it is clear that assumption 1 and 2 are violated. That is, the assumption of equal variance ( homoscedasticity) and there aren't any outliers.
Step-by-step explanation:
Both variables are quantitative and The relationship is linear have not been violated.
Answer: The equation of the sphere with the center and radius

b) The intersection of this sphere with the y z-plane the x- co-ordinate
is zero(i.e., x = 0 )
Step-by-step explanation:
a) The equation of the sphere having center (h,k,l) and radius r is

Given center of the sphere (3, -9, 3) and radius 5

on simplification , we get solution


Final answer :-

b) The intersection of this sphere with the y z-plane the x- co-ordinate
is zero(i.e., x = 0 )

Answer:
D
Step-by-step explanation:
Hope this helps!
:)
Answer:
A=-3/2
B=3
c=3/2
a=-2
Step-by-step explanation:
Knowing that for
,
when t<0 and using the definition of charge

The first term corresponds to q(0), the charge accumulated before t=0, in this case it luckily gives zero so we don't have to worry about it.
Let's proceed and integrate
then when t>0
![i(t)=3\int_0^t \left[ \int_0^tdt'-\inte_0^t e^{-2t'}dt' \right]dt'=3\left[ t+\frac{1}{2}\left( e^{-2t}-1 \right) \right]=3t+\frac{3}{2}e^{-2t}-\frac{3}{2}\,\, C](https://tex.z-dn.net/?f=i%28t%29%3D3%5Cint_0%5Et%20%5Cleft%5B%20%5Cint_0%5Etdt%27-%5Cinte_0%5Et%20e%5E%7B-2t%27%7Ddt%27%20%5Cright%5Ddt%27%3D3%5Cleft%5B%20t%2B%5Cfrac%7B1%7D%7B2%7D%5Cleft%28%20e%5E%7B-2t%7D-1%20%5Cright%29%20%5Cright%5D%3D3t%2B%5Cfrac%7B3%7D%7B2%7De%5E%7B-2t%7D-%5Cfrac%7B3%7D%7B2%7D%5C%2C%5C%2C%20C)
It is clear that:
A=-3/2
B=3
c=3/2
a=-2