1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
harina [27]
3 years ago
10

Function f(x) is positive, increasing and concave up on the closed interval [a, b]. The interval [a, b] is partitioned into 4 eq

ual intervals and these are used to compute the upper sum, lower sum, and trapezoidal rule approximations for the value of Integral b a f(x) dx. Which one of the following statements is true?
Lower sum < Trapezoidal rule Value < Upper sum
Lower sum < Upper sum < Trapezoidal rule value
Trapezoidal rule < Lower sum < Upper sum
Cannot be determined without the x-values for the partitions
Mathematics
2 answers:
Umnica [9.8K]3 years ago
5 0

The left sum would be f0+f1+f2+f3

The right sum would be f1+f2+f3+f4

The trapezoidal rule value is:

(f0+f1)/2 + (f1+f2)/2+(f2+f3)/2 +(f3+f4)/2

This would put the trapezoidal rule in the middle , which makes the answer:

Lower sum < Trapezoidal rule Value < Upper sum

timama [110]3 years ago
5 0

Answer:

Step-by-step explanation:

Given function f(x) is positive, increasing and concave up on the closed interval [a, b],

it means f(x1) < f(x2) if x1 < x2

So Lower sum < Upper sum

As Trapezoidal is average of f(x1) and f(x2) = [f(x1) + f(x2)] / 2

it is average of the Lower and Upper sum.

The answer is Lower sum < Trapezoidal rule Value < Upper sum

You might be interested in
X^3+2/3x^4-1/2x^2 integral
Irina-Kira [14]

\frac{2 {x}^{5} }{15}  +  \frac{ {x}^{4} }{4}   -   \frac{ {x}^{3} }{6}  + c

simplified form =

\frac{ {x}^{3}(8 {x}^{2}  + 15x - 10) }{60}  + c

5 0
3 years ago
I'm having trouble
Liono4ka [1.6K]
It would be B because you would take amelias age and take two away since todd is five years younger to get the a-5.
hope this helps :)
8 0
3 years ago
Karen purchased a DVD player on sale. The original selling price was ​$171.50. The sale price was ​$145.22. What is the first st
Kaylis [27]

Answer:

15% off

Step-by-step explanation:

5 0
3 years ago
1/3 off the regular price of $51
jolli1 [7]

Answer:

34.00

Step-by-step explanation:

because get the discounted price, subtract the discount from the original price. To illustrate this principle, here is an example: to take 1/3 off $36.00, divide 36 by 3 and multiply by 1. This becomes 36/3 x 1 to equal 12, which represents a discount of $12.00

8 0
2 years ago
It takes Morgan 1/8
ahrayia [7]
It will take her 6 hours because
3/4=6/8 hours
1/8= 1 hour
I hope this was helpful
6 0
3 years ago
Read 2 more answers
Other questions:
  • Pls help immediately
    13·2 answers
  • What is the value of w <br><br> W+33=2W
    13·1 answer
  • What is 25/30 in simplest form
    11·1 answer
  • What is 562949953421312 multiplied by 2
    10·1 answer
  • A car company charges a $45 fee to use their vehicle. They also charge an additional $0.35 per mile 9 (m). write a function that
    8·1 answer
  • A box contains
    10·2 answers
  • After allowing 20% discount an article is sold for rs.672 levying 12% VAT, find its market price​
    8·2 answers
  • The amount of time that a customer waits on hold at a call center can be modeled by a uniform distribution on the interval from
    13·1 answer
  • Natasha wants to find out if the neighborhood supports lowering the speed limit on the street in front of her school. Which is a
    8·1 answer
  • What is the perimeter of the triangle (4,1) (2,5) (1,-1)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!