<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:
x=5 x=3
Step-by-step explanation:
f(x) = x^2 - 8x+ 15
Factor
What two numbers multiply to 15 and add to -8
-5*-3 = 15
-5+-3 = -8
f(x) = (x-5) (x-3)
Setting equal to 0
0= (x-5) (x-3)
Using the zero product property
x-5 =0 x-3=0
x=5 x=3
7.071067812=N
2x3=6
7.071067812x7.071067812=50
50+6=56
Answer:
increase by 100%
Step-by-step explanation:
100% of 0.5 is 0.5 therefore 0.5+0.5=1
By dividing both numbers by 25, it will be 1/4