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
Vadim26 [7]
3 years ago
12

Recall that Rn denotes the right-endpoint approximation using n rectangles, Ln denotes the left-endpoint approximation using n r

ectangles. Calculate the approximation for each of the given function and interval below. (You may use calculator and keep the final numerical answer in decimals for this question) (a) (3 pts) R5, f(x) = x 2 + x on the interval [−1, 1]
Mathematics
1 answer:
pogonyaev3 years ago
3 0

Answer:

R_5=1.12

Step-by-step explanation:

We want to calculate the right-endpoint approximation (the right Riemann sum) for the function:

f(x)=x^2+x

On the interval [-1, 1] using five equal rectangles.

Find the width of each rectangle:

\displaystyle \Delta x=\frac{1-(-1)}{5}=\frac{2}{5}

List the <em>x-</em>coordinates starting with -1 and ending with 1 with increments of 2/5:

-1, -3/5, -1/5, 1/5, 3/5, 1.

Since we are find the right-hand approximation, we use the five coordinates on the right.

Evaluate the function for each value. This is shown in the table below.

Each area of each rectangle is its area (the <em>y-</em>value) times its width, which is a constant 2/5. Hence, the approximation for the area under the curve of the function <em>f(x)</em> over the interval [-1, 1] using five equal rectangles is:

\displaystyle R_5=\frac{2}{5}\left(-0.24+-0.16+0.24+0.96+2)= 1.12

You might be interested in
Divide, and then round the answer to two decimal places:<br><br> 0.6256108÷0.527
Ne4ueva [31]

Answer:

the answer is 55038271829339

8 0
3 years ago
What is the probability that a student who bought juice chosen at random purchased grape flavor
larisa [96]

Answer:

50% chance

Step-by-step explanation:

6 0
3 years ago
Bank statement practice
VashaNatasha [74]

Answer:

whats the question

Step-by-step explanation:

......1.....

6 0
2 years ago
Read 2 more answers
The percentage method aids in calculating
arlik [135]
The percentage method aids in calculating FIT. 
7 0
3 years ago
Read 2 more answers
Simplify 30x-140-(x-4)
balu736 [363]

Answer:

x = 4.7

Step-by-step explanation:

30x - 140 -(x - 4)

Multiply the -1 into (x - 4)

30x - 140 - x + 4

Add/subtract

29x - 136 = 0

      +136

29x = 136

\frac{29x}{29} = \frac{136}{29}

x = 4.689655172413793

8 0
3 years ago
Other questions:
  • You guys listed "1" fraction of the two fractions between: 3/5 and 4/5? What is the other ones? Also, someone else said these an
    8·1 answer
  • Does anyone know how to do this please?!
    5·1 answer
  • the length of an object is measured as 95.7 centimeters. what is this measurement in scientific notation?
    9·1 answer
  • The area of one rectangle is twice the area of another. What is the ratio of their perimeters
    12·1 answer
  • The height in meters of a projectile is modeled the function h(t)= -5t^2+25, where t is the time in seconds. a) Find the point w
    14·1 answer
  • Which of the following describes a rigid transformation?
    6·2 answers
  • If the simple inttrest on $ 2.000 for 2 years then what is the intrest rate
    8·1 answer
  • A family is building a circular fountain in the backyard. The yard is rectangular and measures 10x by 15x and the fountain is go
    8·1 answer
  • Marcus expects to earn about $10,000 in sales per month.
    13·1 answer
  • PLZ I NEED THIS ASAP!! ILL GIVE YOU BRAINLIST!!!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!