Ok, so remember that the derivitive of the position function is the velocty function and the derivitive of the velocity function is the accceleration function
x(t) is the positon function
so just take the derivitive of 3t/π +cos(t) twice
first derivitive is 3/π-sin(t)
2nd derivitive is -cos(t)
a(t)=-cos(t)
on the interval [π/2,5π/2) where does -cos(t)=1? or where does cos(t)=-1?
at t=π
so now plug that in for t in the position function to find the position at time t=π
x(π)=3(π)/π+cos(π)
x(π)=3-1
x(π)=2
so the position is 2
ok, that graph is the first derivitive of f(x)
the function f(x) is increaseing when the slope is positive
it is concave up when the 2nd derivitive of f(x) is positive
we are given f'(x), the derivitive of f(x)
we want to find where it is increasing AND where it is concave down
it is increasing when the derivitive is positive, so just find where the graph is positive (that's about from -2 to 4)
it is concave down when the second derivitive (aka derivitive of the first derivitive aka slope of the first derivitive) is negative
where is the slope negative?
from about x=0 to x=2
and that's in our range of being increasing
so the interval is (0,2)
Answer:
The possible values of x is given by 
and they include: -2, -3, -4, -5, -6 and so on
The greatest possible value of 7x is 
Step-by-step explanation:
We are given the equation: x + 8 <= 6
Let collect the like terms:
Therefore, x <= -2 and the possible values include: -2, -3, -4, -5, -6 and so on
To find the greatest possible value of 7x is when x = -2.
.
A solution of a function is where the function hits the x-axis, so if y is any number that is not equal to 0, there is no possible way that point can be a solution.
Hope this helps!
Factor the polynomial.
−5(q+5)
plz mark me as brainliest if this helped :)
Answer:
x=100
Step-by-step explanation:
23+.10x=19+.14x
God bless!
