Asked by Alice
The function f is continuous on the interval [2, 10] with some of its values given in the table below. Use a trapezoidal approximation with 4 trapezoids to approximate of integral from 2 to 10 f(x)dx
x 2 4 7 9 10
f(x) 0 3 8 15 18
a) 30.5
b) 78.0
c) 40.0
d) 59.0
x 2 4 7 9 10
f(x) 0 3 8 15 18
a) 30.5
b) 78.0
c) 40.0
d) 59.0
Answers
Answered by
Reiny
Make your sketch, and draw your 4 trapezoids
Notice that their bases are not all the same, so you will have to
do 4 separate calculations.
I will do the area of the 2nd from the left:
area = (base)(average of heights)
= (7-4)(3+8)/2 = 33/2
find the others, then add them up,
let me know what you get
Notice that their bases are not all the same, so you will have to
do 4 separate calculations.
I will do the area of the 2nd from the left:
area = (base)(average of heights)
= (7-4)(3+8)/2 = 33/2
find the others, then add them up,
let me know what you get
Answered by
Alice
(4-2)(0+3)/2=3
(7-4)(3+8)/2=16.5
(9-7)(8+5)/2=13
(10-9)(18+15)/2=16.5
Answer 49?????????? why?
(7-4)(3+8)/2=16.5
(9-7)(8+5)/2=13
(10-9)(18+15)/2=16.5
Answer 49?????????? why?
Answered by
Alice
Please help me with this exercise. My answer was 49 but this number is not in my choices
Answered by
Reiny
Your third calculation is wrong
you had (9-7)(<b>8+5</b>)/2=13
should have been (9-7)(<b>8+15</b>)/2=23 , looks like a copy error
for a total 59, your last choice
you had (9-7)(<b>8+5</b>)/2=13
should have been (9-7)(<b>8+15</b>)/2=23 , looks like a copy error
for a total 59, your last choice
Answered by
Alice
ohhh you right! thank you Reiny