<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:
y = x - 4
Step-by-step explanation:
The standard equation of a line is y = mx+b
m is the slope
b is the y intercept
Get the slope
Using the coordinate points (4, 0) and (0, -4)
m = -4-0/0-4
m = -4/-4
m = 1
Since the line cuts the y axis at y = -4, the y-intercept b = -4
Get the equation;
Since y = mx+b
y = 1x + (-4)
y = x - 4
This gives the required equation
Answer:
≈ 78.55 cm
Step-by-step explanation:
Using the ratio of arc (AB) to circumference (C) is equal to the ratio of angle subtended at centre by arc AB to 360°, that is
= 
, that is
= ( cross- multiply )
110C = 8640 ( divide both sides by 110 )
C = 
≈ 78.55 cm ( to 2 dec. places )
5 and 7… 5x7=35
you’re welcome
126/3 = 42 calories per 1/4 cup. This 2 x 42 calories (2 quarters = 1/2 cup) = 84 calories.
