Answer:
7
Step-by-step explanation:
When evaluating absolute values, a great way to remember what they do is simple. No matter the number, whether it is negative or positive, the number(s) IN THE absolute values are ALWAYS positive.
So, |x + y| is then substituted with the numbers given for the variables.
|x + y|
|8 - 15|
|-7|
7
Hope this helps!
Answer:
g(x) = 4x² -x +64
Step-by-step explanation:
The integral of f(x) will be continuous. This means the value must be the same for x = 4- as for x = 4+.
For some constant c1, the integral in the region x ≤ 4 is ...
∫f(x)dx = (4x² -x +c1) +C = g(x) +C
The integral in the region x ≥ 4 is given as ...
∫f(x)dx = 31x +C
Evaluated at x=4, we must get the same value from either expression:
4(4²) -4 +c1 +C = 31(4) +C
60 +c1 = 124
c1 = 64
__
In order to make the integral continuous at x=4, we must have ...
g(x) = 4x² -x +64
I really hope this is right ! Pleas forgive me if it isn’t . A mathematical analysis of integration of intergal . So basically the region that is bounded . (Example [DX]
F(3)=5 // f(3)=2(3)-1 = 5
