2 x (n - 6)
(2 x n - 2 x 6)
(2n - 2 x 6)
2n - 12
Given:
The polynomial function is

To find:
The possible roots of the given polynomial using rational root theorem.
Solution:
According to the rational root theorem, all the rational roots and in the form of
, where, p is a factor of constant and q is the factor of leading coefficient.
We have,

Here, the constant term is 10 and the leading coefficient is 4.
Factors of constant term 10 are ±1, ±2, ±5, ±10.
Factors of leading term 4 are ±1, ±2, ±4.
Using rational root theorem, the possible rational roots are

Therefore, the correct options are A, C, D, F.
Answer:
Ex = - 4 + 14xy
Ey = 7x² - 7z²
Ez = -14yz
Step-by-step explanation:
The relationship between Electric field Er(x, y, z) and Electric potential, V, is a differential relationship:
Er(x, y, z) = -dV/dr(x, y, z)
Where r(x, y, z) = distance in x, y and z components.
The x component of the electric field is:
Ex = -dV/dx
Given that:
V = 4x - 7x²y + 7yz²
Ex = -dV/dx
Ex = -(4 - 14xy)
Ex = -4 + 14xy
The y component of the electric field is:
Ey = -dV/dy
Ey = -(-7x² + 7yz²)
Ey = 7x² - 7z²
The z component of the electric field is:
Ez = -dV/dz
Ez = -(14yz)
Ez = -14yz
Answer:
5.) b = -2/5 (or -0.4 in decimal form)
6.) 20.5
Answer:
Solution is 
Step-by-step explanation:
Given Differential Equation,
...............(1)
We need to solve the given differential equations using undetermined coefficients.
Let the solution of the given differential equation is made up of two parts. one complimentary solution and one is particular solution.

For Complimentary solution,
Auxiliary equation is as follows
m² - 2m + 1 = 0
( m - 1 )² = 0
m = 1 , 1
So,

Now for particular solution,
let 


Now putting these values in (1), we get






Therefore, Solution is 