Answer:
So then the integral converges and the area below the curve and the x axis would be 5.
Step-by-step explanation:
In order to calculate the area between the function and the x axis we need to solve the following integral:
For this case we can use the following substitution 
and we have 
And if we solve the integral we got:
And we can rewrite the expression again in terms of x and we got:
And we can solve this using the fundamental theorem of calculus like this:
So then the integral converges and the area below the curve and the x axis would be 5.
<h3>
Answer: Solution is x = -2</h3>
You have two equations with y1 = f(x) and y2 = g(x).
We're looking for the values of x such that f(x) = g(x). This is the same as trying to solve y1 = y2.
The first row of the table shows y1 and y2 having the same value 5. So we just record the x value that goes with these y values.
Answer:
B)
Step-by-step explanation:
Answer:
The answer is easy.
Step-by-step explanation:
Answer:
(6, - 3 )
Step-by-step explanation:
Given the 2 equations
2x + 5y = - 3 → (1)
2x + 2y = 6 → (2)
Subtracting (1) from (2) term by term will eliminate the x- term
(2x - 2x) + (2y - 5y) = 6 - (- 3), that is
- 3y = 9 ( divide both sides by - 3 )
y = - 3
Substitute y = - 3 in either of the 2 equations and solve for x
Substituting y = - 3 in (1)
2x + 5(- 3) = - 3
2x - 15 = - 3 ( add 15 to both sides )
2x = 12 ( divide both sides by 2 )
x = 6
Solution is (6, - 3 )
