The next number in the given series is going to be 565.

2, 3, 8, 27, 112, ?

2 * 1 + 1 = 3

3 * 2 + 2 = 8

8 * 3 + 3 = 27

27 * 4 + 4 = 112

112 * 5 + 5 = 565.

Good luck :)

7 0

3 years ago

11. Name the property of real numbers illustrated by the equation 5(x-3)=5x-15

prohojiy [21]

5(x - 3) = 5x - 15....this is the distributive property

7 0

4 years ago

Read 2 more answers

Solve the Method of variation of Parameters. y" - 3y' + 2y = 4e^3t

kirill [66]

Answer:

CF+PI= $c_1e^{2x}+c_2e^{x}$ + $2e^{3t}$

Step-by-step explanation:

we have given y"-3y'=2y= $4e^{3t}$

this differential equation solution have two part that CF and PI

CALCULATION OF CF :

$m^2-3m+2=0$

$m^2-2m-m+2=0$

$(m-1)(m-2)=0$

m=1 and m=2

so CF= $c_1e^{2x}+c_2e^{x}$

CALCULATION OF PI :

PI = $\frac{4e^{3t}}{(m-1)(m-2)}$

at m= 3 in PI

$PI=\frac{4e^{3t}}{2}=2e^{3t}$

so the complete solution is

CF+PI= $c_1e^{2x}+c_2e^{x}$ + $2e^{3t}$

7 0

3 years ago