Answer:
40 words per minute
Step-by-step explanation:

y · 3 = 1 · 120
3y = 120
3y ÷ 3 = 120 ÷ 3
y = 40
Answer:
G.S=
Step-by-step explanation:
We are given that non-homogeneous differential equation

It is Cauchy Euler equation
Substitute x=e^t x>0
Auxillary equation





Complementary solution


Particular solution


G.S=
Hence, general solution G.S=
Answer:
You can look at the slope and plane.If the slope is the same, the y-intercept is different and both lines are found in the same plane; they are parrallel to each other. This is a way to be certain since there is proof behind it as a Parallel line definition.
Answer:
4Na + 1O2 > 2Na2O
SF6 > 1S + 3F2
2FE2O3 > 4FE + 3O2
Step-by-step explanation:
1. Identify the Products and Reactants(always do O2 last)
2. determine how many atoms of each element are present on each side of the equation
3. Add Coefficients and never change the subscripts. If there's a coefficient in front of any compound, it is distributed to both elements.
4. find the total number of atoms on both sides of the equation and make sure they equal with each other
Answer:
Volume of the cone is increasing at the rate
.
Step-by-step explanation:
Given: The radius of a right circular cone is increasing at a rate of
in/s while its height is decreasing at a rate of
in/s.
To find: The rate at which volume of the cone changing when the radius is
in. and the height is
in.
Solution:
We have,
,
,
, 
Now, let
be the volume of the cone.
So,
Differentiate with respect to
.
![\frac{dv}{dt} =\frac{1}{3}\pi \left [ r^2\frac{dh}{dt}+h\left ( 2r \right )\frac{dr}{dt} \right ]](https://tex.z-dn.net/?f=%5Cfrac%7Bdv%7D%7Bdt%7D%20%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20%5Cleft%20%5B%20r%5E2%5Cfrac%7Bdh%7D%7Bdt%7D%2Bh%5Cleft%20%28%202r%20%5Cright%20%29%5Cfrac%7Bdr%7D%7Bdt%7D%20%5Cright%20%5D)
Now, on substituting the values, we get
![\frac{dv}{dt} =\frac{1}{3}\pi\left [ \left ( 134 \right )^2\left ( -2.2 \right )+\left ( 136\right )\left ( 2 \right )\left ( 134 \right )\left ( 1.9 \right ) \right ]](https://tex.z-dn.net/?f=%5Cfrac%7Bdv%7D%7Bdt%7D%20%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%5Cleft%20%5B%20%5Cleft%20%28%20134%20%5Cright%20%29%5E2%5Cleft%20%28%20-2.2%20%5Cright%20%29%2B%5Cleft%20%28%20%20136%5Cright%20%29%5Cleft%20%28%202%20%5Cright%20%29%5Cleft%20%28%20134%20%5Cright%20%29%5Cleft%20%28%201.9%20%5Cright%20%29%20%5Cright%20%5D)
![\frac{dv}{dt} =\frac{1}{3}\pi\left [ 29748 \right ]](https://tex.z-dn.net/?f=%5Cfrac%7Bdv%7D%7Bdt%7D%20%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%5Cleft%20%5B%2029748%20%5Cright%20%5D)

Hence, the volume of the cone is increasing at the rate
.