widths: x 0 to 1, 1 to 2, 2 to 3
right endpoints, x=1,2,3
area=height*width=(-2+6)1 + (-4+6)1 + (-6+6)1=4+2+0
check my thinking.
Find the area under the curve of y=-2x+6 from x=0 to x=3 using 3 strips of equal length using right endpoints.
I tried this equation before and my answer was 9 but my teacher said it was wrong? and I also posted this before and Someone who helped me got the same answer. So I'm very confused
3 answers
Maya, I looked at your last tutors (Dr Reiny), and his answer assumed the estimation using trapazaoids, which is a better estimate of this curve. I did above assuming rectangle strips, right end points, which will underestimate the area. My guess is your teacher wants you to use the simple rectanular strips, error prone as it is.
Calculus - Reiny, Friday, June 17, 2016 at 7:25am
Your 3 strips would be 3 trapezoids.
The confusing part is the fact that the last "trapezoid" is actually just a triangle
area of trapezoids
= (1/2)(1)(6+4) + (1/2)(1)(4+2) + (1/2)(1)(2+0)
= 5 + 3 + 1
= 9
( your area consists of a triangle with a base of 3 and a height of 6
area = (1/2)base x height
= (1/2)(3)(6) = 9
Calculus - Reiny, Friday, June 17, 2016 at 7:25am
Your 3 strips would be 3 trapezoids.
The confusing part is the fact that the last "trapezoid" is actually just a triangle
area of trapezoids
= (1/2)(1)(6+4) + (1/2)(1)(4+2) + (1/2)(1)(2+0)
= 5 + 3 + 1
= 9
( your area consists of a triangle with a base of 3 and a height of 6
area = (1/2)base x height
= (1/2)(3)(6) = 9
If you use right endpoints for the height of each rectangle, Bob has it I think and the answer would be 8.
If you use trapezoids you get a more accurate answer, 9 , but they asked for the inaccurate answer.
If you use trapezoids you get a more accurate answer, 9 , but they asked for the inaccurate answer.