<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:
w=15
Step-by-step explanation:
w/5=3
multiply by 5 on both sides
w=3*5
∴ w=15
Answer:
Step-by-step explanation:
2x + 5 = -x - 1
3x + 5 = -1
3x = -6
x = -2
y = 2 - 1
y = 1
(-2, 1)
18+3x=-10+x
3x-x=-10-18
2x=-28
x=-14
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