Answer :
Answer:
1 - B
2 - A, C
3 - E
4 - D
5 - H
6 - D
7 - None
8 - F, G
Step-by-step explanation:
1. We know the equation that :
[tex]V = I \times R[/tex]
Where V is the voltage
I is the Electric Current and
R is the resistance
So,
[tex]I = \dfrac{V}{R}[/tex]
2. An equation of a linear curve is represented as:
y = mx+c or
Y = mX+C
So, the correct matches are:
A. Y = 8x + 6
and
C. y = 8x + 6
3. A constant:
The constant expression as in options is:
E. 12.23154687854
4. 1st order differential equation is the equation in which there is differentiation done once.
[tex]y'[/tex] or [tex]\dfrac{dy}{dx}[/tex] are used to represent it.
So, correct option is D. y' - 8x - 6 = 0
5. A 2nd order differential equation is the equation in which there is differentiation done once.
[tex]y''[/tex] or [tex]\dfrac{d^2y}{dx^2}[/tex] are used to represent it.
So, correct option is H. y" = 8
6. An ordinary differential equation (1st order)
Same as answer to part 4.
[tex]y'[/tex] or [tex]\dfrac{dy}{dx}[/tex] are used to represent it.
So, correct option is D. y' - 8x - 6 = 0
7. A partial differential equation is an equation that contains a term represented as:
[tex]\dfrac{\partial y}{\partial x}[/tex]
but there is no such term given here, so no option matches.
8. An integration equation:
The correct options are F and G.
F. [tex]100 y = \int(8x + 6)dx[/tex]
G. [tex]\int dz = \int 8xdx + \int 8dy[/tex]