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 graph is included in the attached pictures
Step-by-step explanation:
The graph for y=4-|x| is shown in the attached picture, the inequality tell us that the region is located below that particular graph including the function, hence you have the second attached picture
The answer is -77 pounds :)
Answer:
The correct option is C) The results were not statistically significant but were practically significant.
Step-by-step explanation:
Consider the provided information.
They found that the difference in these shelf lives had a p-value of 0.24. Assume an α of 0.05.
We reject the null hypothesis if p value is less than α.
We are fail to reject null hypothesis if p value is greater or equal to α.
Here p value is greater than 0.05.
So, we do not reject null hypothesis and conclude that result is not statistically significant. But, there is a practical difference between 3 days and 7 days.
Therefore, the correct option is C) The results were not statistically significant but were practically significant.
Answer:
25 dollars is the ANSWER
Step-by-step explanation:
