<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>
Tables are easy to make when u have the equation. Just simply sub any number in for x and solve for y
y = 3x + 2...lets let x = 0
y = 3(0) + 2
y = 2.....so when x = 0, y = 2....(0,2)
y = 3x + 2....lets let x = 1
y = 3(1) + 2
y = 3 + 2
y = 5....so when x = 1, y = 5....(1,5)
y = 3x + 2.....let x = 2
y = 3(2) + 2
y = 6 + 2
y = 8....so when x = 2, y = 8...(2,8)
u can find more point if u need to...
now make a table..
x y
0 2
1 5
2 8
and like I said, if u need more numbers for ur table, just do like I did above :)
Answer:
YES
Step-by-step explanation:
YPU
Answer:
x = 9
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
50° is an exterior angle of the triangle, thus
38 + 4x - 24 = 50 , that is
14 + 4x = 50 ( subtract 14 from both sides )
4x = 36 ( divide both sides by 4 )
x = 9
Well you'd see if it's closer to 10000 or 20000.
In this case it would round to 20000.
