We have
<span>y=cos x/(x</span>²+x+2) <span>on the closed interval [-1, 3]
</span><span>
we know that
</span>The average value of f(x) on the interval [a, b] is given by:
<span>F(avg) = 1/(b - a) ∫ f(x) dx (from x=a to b).
(b-a)=(3+1)------> 4
</span>= 1/4 ∫ cos(x)/(x² + x + 2) dx (from x=-1 to 3).
Note that [cos(x)/(x² + x + 2)] does not have an elementary anti-derivative.
By approximating techniques:
1/4 ∫ cos(x)/(x^2 + x + 2) dx (from x=-1 to 3) ≈ 0.182951
the answer is
<span>the average value of y = cos(x)/(x</span>²<span> + x + 2) on [-1, 3] is approximately 0.182951</span>
the answer is 1,102.5, to find the area of a triangle you need to multiply LxWxB/2
0.67 kg of flour will be in each batch of scones
It says remember A=1 that is one of your hints
Answer:
They are independent
Step-by-step explanation:
We have the following events:
* 16% of students play basketball
* 70% of students live in Murfreesboro
They ask us if each of the events are independent of the other, the answer is yes. Since the probability in the first event would be 16/100 and the second event 70/100, and at no time are they affected by each other.
They mention another event that that depends on these two:
* 11% of students play basketball and live in Murfreesboro
(16/100) * (70/100) = 0.112, which is equal to 11.2%, which is approximate to the event they mention.
