<span>first, we are going to define variables as the following:
a = 0
a = π/2
n = 4 rectangles
Δx = [ b - a ] / n ------>Δx = [ π/2 - 0 ] / 4 = π/8
right endpoints :
sum( seq( 4 cos(x) * π/8 , x , 0+π/8 , π/2 , π/8 ) ) = 3.163065 underestimate
left endpoints:
sum( seq( 4 cos(x) * π/8 , x , 0 , π/2-(π/8) , π/8 ) ) = 4.733861 overestimate
the reason because the actual estimate by integral as the following:
π/2
∫ 4cos(x) dx = 4
0</span>
Answer:
There are two real roots because b²>4ac
in the equation, b²= 9² = 81.
4ac = 4×-4×-12= 72
Answer:
80
Step-by-step explanation:
Let's write out the equation:
8(20+80/2)/[(54/9+14)/4]
For the first part we get 8(100/2)
Then 50x8
Then 400
For the second part we have (6+14)/4 as we divide 54 by 9. PEMDAS
Then 20/4
Then 5
So our final answer is 400/5 which is 80.
Hope this helps!
I think B should be the answer