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
Igoryamba
3 years ago
11

Compute the lower Riemann sum for the given function f(x)=x2 over the interval x∈[−1,1] with respect to the partition P=[−1,− 1

2 , 1 2 , 3 4 ,1].
Mathematics
1 answer:
Nata [24]3 years ago
3 0

Answer:

21/64

Step-by-step explanation:

First, we need to note that the function f(x) = x² is increasing on (0, +∞), and it is decreasing on (-∞,0)

The first interval generated by the partition is [-1, -1/2], since f is decreasing for negative values, we have that f takes its minimum values at the right extreme of the interval, hence -1/2.

The second interval is [-1/2, 1/2]. Here f takes its minimum value at 0, because f(0) = 0, and f is positive otherwise.

Since f is increasing for positive values of x, then, on the remaining 2 intervals, f takes its minimum value at their respective left extremes, in other words, 1/2 and 3/4 respectively.

We obtain the lower Riemman sum by multiplying this values evaluated in f by the lenght of their respective intervals and summing the results, thus

LP(f) = f(-1/2) * ((-1/2) - (-1)) + f(0) * (1/2 - (-1/2)) + f(1/2)* (3/4 - 1/2) + f(3/4) * (1- 3/4)

= 1/4 * 1/2 + 0 * 1 + 1/4 * 1/4 + 9/16 * 1/4 = 1/8 + 0 + 1/16 + 9/64 = 21/64

As a result, the lower Riemann sum on the partition P is 21/64

You might be interested in
Can someone please help
vredina [299]
Correct answer is A

Would appreciate brainliest answer :)
4 0
2 years ago
WILL MARK BRAINLIEST!! PLZ HELP!!! 20 POINTS Create a graph of the polynomial function g(x) = (x + 2)(x − 1)(x − 2)
Gennadij [26K]

Answer:

We have: g(x)=(x+2)(x-1)(x-2)

multiply the 3 terms:

  • (x+2)(x-1)(x-2)
  • (x²-4)(x-1)
  • x^3 -x²-4x+4

This is a polynimial function with 2 vertices

The roots are approximatively:

0.8 and -1.5

their images are:

1.9 and 8.8

plot these two vertices and draw some other points

here is a drawing:

6 0
3 years ago
can you help me evaluate this: 7m + 14m - 6n - 5n + 2m. why do you add 6n with 5n instead of subtract?
Mademuasel [1]

Step-by-step explanation:

The reason is because it is not just 6 it is - 6 so when there are two negative numbers they don't subtract they add if it was 6n then it was to be subtracted

21m - 11n + 2m

23m - 11n

6 0
3 years ago
It’s urgent please help
Inessa [10]

Answer:

domain is always the x values and y values are the range of x.

It's option A

5 0
3 years ago
Factorizar M(a, b)= 64a7b7–ab13; dar un factor primo:
denpristay [2]
I’m gonna say it’s a carrot
8 0
3 years ago
Other questions:
  • MAKE THE BRAINLIEST-----------------IF UR RIGHT-------------A student solved this problem and said the answer was of a loaf. Mau
    5·2 answers
  • What statement is used to prove thatquadrilateral ABCD is a parallelogram?
    13·1 answer
  • please help: Elaine takes 7 min to ride 18 blocks. what is her unit rate. how long should it take her to go 50 blocks???
    15·1 answer
  • He function f(d) = –3d + 60 gives the remaining life of a flashlight battery, in hours, d days after the start of a hike.
    14·1 answer
  • A food truck is selling 2 burritos for $5.
    5·1 answer
  • What is the solution to this equation?
    6·1 answer
  • At The Burger Palace, 2 hamburgers and 1 small order of fries costs $6.50. The Clarke family ordered 5 hamburgers and 5 small or
    5·2 answers
  • Adrian purchased 7 pair of scissors for 20.86 at one store and 2 pair of scissors for the same price at another store for $5.96.
    10·2 answers
  • Please help right noww pleasee i will put brainliest
    13·1 answer
  • I think of a number and divide it by 3. The result is 2 less than the number I first thought of. Find the number I first thought
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!