Answer:
(-2,-12), (-1,-6), (0,-3) and (1,-3/2)
Step-by-step explanation:
x g(x)
-2 -3(1/2)^-2 = -12
-1 -3(1/2)^-1 = -6
0 -3(1/2)^0 = -3
1 -3(1/2)^1 = -3/2
Now, making the graph we will plot
(-2,-12), (-1,-6), (0,-3) and (1,-3/2)
Hope this helps!!
According to the theory
b^2 = (13)^2 - (7)^2
b^2 = 169 - 49 = 120
b= root(120)
b= 10.95 cm
For this case we must simplify the following expression:

We solve the operation of the second parenthesis, taking into account that different signs are subtracted and the sign of the major is placed:

We multiply:

We eliminate the parentheses:

We add similar terms, taking into account that equal signs are added and the same sign is placed:

Answer:
The simplified expression is: 
Answer:
Hence, the particular solution of the differential equation is
.
Step-by-step explanation:
This differential equation has separable variable and can be solved by integration. First derivative is now obtained:



, where C is the integration constant.
The integration constant can be found by using the initial condition for the first derivative (
):



The first derivative is
, and the particular solution is found by integrating one more time and using the initial condition (
):





Hence, the particular solution of the differential equation is
.