Evaluate the expression when x=-6. x² + 5x-2
2 answers:
You might be interested in
Answer:
Step-by-step explanation:
Given:
Need:
First, let's look at the identities:
sum:
difference:
The question asks to find sin(A - B); therefore, we need to use the difference identity.
Based on the given information (value and quadrant), we can draw reference triangles to find the simplified values of A and B.
sin(A) =
cos(A) =
sin(B) =
cos(B) =
Plug these values into the difference identity formula.
Multiply.
Add.
This is your answer.
Hope this helps!
Answer:
The quantity of salt at time t is , where t is measured in minutes.
Step-by-step explanation:
The law of mass conservation for control volume indicates that:
Where mass flow is the product of salt concentration and water volume flow.
The model of the tank according to the statement is:
Where:
- The salt concentration in the tank, as well at the exit of the tank, measured in
.
- Concentration rate of change in the tank, measured in
.
- Volume of the tank, measured in gallons.
The following first-order linear non-homogeneous differential equation is found:
This equation is solved as follows:
The initial concentration in the tank is:
Now, the integration constant is:
The solution of the differential equation is:
Now, the quantity of salt at time t is:
Where t is measured in minutes.