Answer:
You know that if f(x) = 1/(x²+1) then F(x)=arctan(x).
What is arctan(x) function? It is inverse function of tan(x) in tge range (-π/2, π/2).
So if tan(x) = y then x = arctan(y)
therefore arctan(-1) = -π/4 because tan(-π/4)=-1 and arctan(1)=π/4 because tan(π/4) = 1.
In conclusion:
integral (dx/(x²+1)) from -1 to 1 =
= F(1) - F(-1) = arctan(1) - arctan(-1) =
=π/4-(-π/4)=π/4+π/4 = π/2.
answer B is correct
Answer: X-intercept is (2,0)
Y-intercept is (0,-2)
Step-by-step explanation:
Its not linear because growth rates vary with age, gender also plays a role in the change
Answer: (I am not a maths moderator)
x=4
Step-by-step explanation:
Multiply the exponents
(2x-4)^12=(4^2)^6 (exponents multiply so)
(2x-4)^12=4^12
4^12 = 16777216
(2x-4)^12= 16777216
Take the 1/12 exponent for both sides
that will remove the ^12 exponent from the left side and will take the 12th root for the right.
2x-4=4
add 4 to both sides
2x=8
divide both sides by 2
x=4
Answer:
Step-by-step explanation:
Note that the four input values, {3,4,6,11}, are all unique. Each has exactly one y value associated with it. This is an important criterion when we're deciding whether a relation is a function or not.
Suppose that we added one more input and its associated output:
{3,4,4,6,11}
If it happened that different values of y were associated with the two 4's, then we know immediatel that this relation is not a function.
