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]
2 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:
pogonyaev2 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
You have a land-line telephone that costs $25.95/month plus a utilities tax of 4.5%. How much will you pay for your telephone us
dalvyx [7]

Answer

C) 325.41

Step by step explanation

The land-line telephone costs =$25.95

Utilities tax percentage = 4.5% = 4.5/100 = 0.045

Utility tax for amount $25.95 = 25.95*0.045

Utility tax = $1.17

The amount of telephone bill with tax = $25.95 + $1.17

= $27.12

There are 12 months in a year.

Telephone bill for a year = $27.12 * 12

= $325.44

Therefore, the nearest amount $325.41

You need to pay $325.41 as telephone bill for a year.

Thank you.

5 0
3 years ago
Read 2 more answers
Explain how to use the missing pieces strategy to compare two fractions.include a diagram with your explanation.
umka21 [38]
In order for us to tell whichever fraction is greater than or lesser than, we need to look for the missing part. 

For example,  we have 2/3 and 1/3.
2/3 needs to have 1/3 in order to complete the whole.
1/3 needs to have 2/3 in order to complete the whole.

1/3 < 2/3
<span>So 2/3 is bigger than 1//3</span>
7 0
3 years ago
GUYS LOOK OVER HERE I DIDNT FINISH THE ANNA QUESTION!!!!!! Anna ate 2 doughnuts on mon, wed, and fri and ate 4 doughnuts in Thur
Lera25 [3.4K]
2+4+2+4+2=16÷5=3.2 average
8 0
3 years ago
Use the net to find the lateral area of the cylinder.
navik [9.2K]
Hi there!

The formula for the lateral area of a cylinder is LA = 2 x pi x r x h. Using this formula, we can plug in the given values and solve for the lateral area.

WORK:
LA = 2pi x r x h
LA = 2pi x 4.5 x 17
LA = 153pi mm^2

The correct answer is the first option - 153pi mm^2

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
7 0
2 years ago
For the function f(x) and g(x) given in the graph. Find f(g(2))
Katen [24]

Answer:

f(g(2)) = 4

Step-by-step explanation:

find g(2) then substitute the value obtained into f(x)

locate x = 2 on the x- axis, go vertically up to meet g(x) at (2, 5 )

locate x = 5 on the x- axis, go vertically up to meet f(x) at (5, 4 )

then f(g(2)) = 4

3 0
1 year ago
Other questions:
  • Please help me with this one. WILL MARK BRAINLIEST
    11·1 answer
  • If each number is rounded to the nearest whole number, which statement is true?
    7·2 answers
  • How many angle degrees does a minute hand travel in 1 minute? What angle does an hour hand travel in 1 min?
    7·1 answer
  • 16 2/5 - 9 2/3 = show work
    13·1 answer
  • Help ajajsjsnsnsjsjs ​
    7·1 answer
  • Leo has 1 1/3 cups of sugar. He uses 3/4 cups of sugar in a recipe. How much sugar does Leo have left?
    15·1 answer
  • 5+4p&gt;-75<br> A. P &gt; 20<br> B. P &lt; 15<br> C. P &gt; -20<br> D. P &gt; 15
    5·1 answer
  • Find the value of banana<br>​
    8·1 answer
  • if you are the first one to answer this question, you will be marked brsinlyest (ik I spelled that wrong but yk what I mean) wha
    13·1 answer
  • What is the value of x?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!