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
dalvyx [7]
1 year ago
12

If

Mathematics
1 answer:
topjm [15]1 year ago
8 0

The Riemann sum with n = 6, taking the sample points to be midpoints is - 12.0625

<h3>What is Riemann sum?</h3>

Formula for midpoints is given as;

M = ∑0^n-1f((xk + xk + 1)/2) × Δx;

From the information given, we have the following parameters

  • x0 = 0
  • n = 6
  • xn = 3

Let' s find the parameters

Δx = (3 - 0)/6 = 0.5

xk = x0 + kΔx = 0.5k

xk+1 = x0 + (k +1)Δx

Substitute the values

= 0 + 0.5(k +1) = 0.5k - 0.5;(xk + xk+1)/2

We then have;

= (0.5k + 0.5k + 05.)/2

= 0.5k + 0.25.

Now f(x) = 2x^2 - 7

Let's find  f((xk + xk+1)/2)

Substitute the value of (xk + xk+1)/2)

= f(0.5k+ 0.25)

= 2(0.5k + 0.25)2 - 7

Put values into formula for midpoint

M = ∑05[(0.5k + 0.25)2 - 7] × 0.5.

To evaluate this sum, use command SUM(SEQ) from List menu.

M = - 12.0625

A Riemann sum represents an approximation of a region's area from addition of the areas of multiple simplified slices of the region.

Thus, the Riemann sum with n = 6, taking the sample points to be midpoints is - 12.0625

Learn more about Riemann sum here:

brainly.com/question/84388

#SPJ1

                                 

You might be interested in
If f(x) = 3x + 10 and g(x) = 2x - 4, find (f- g)(x).
densk [106]

Answer:

<em>(f-g)(x)=x+14</em>

Step-by-step explanation:

<u>Operations with Functions</u>

Given two functions f(x) and g(x), the following operations are defined:

(f+g)(x)=f(x)+g(x)

(f-g)(x)=f(x)-g(x)

(f*g)(x)=f(x)*g(x)

(f/g)(x)=f(x)/g(x)

We have f(x)=3x+10 and g(x)=2x-4. Use the second formula to find

(f-g)(x)=(3x+10)-(2x-4)

Operating:

(f-g)(x)=3x+10-2x+4

Joining like terms:

(f-g)(x)=x+14

5 0
3 years ago
How can you compare ratios to solve a problem?
Sindrei [870]
“To use proportions to solve ratio word problems, we need to follow these steps:
Identify the known ratio and the unknown ratio.
Set up the proportion.
Cross-multiply and solve.
Check the answer by plugging the result into the unknown ratio.”
I hope this helps.
6 0
3 years ago
Read 2 more answers
What is the value of the expression
dusya [7]
Add up the exponents of  i  :  0+1+2+3+4 = 10.  So we have i^10.

This separates as follows:  (i^4)^2 *i^2, which is equal to (1)^2 * (-1) = -1.
5 0
3 years ago
HELP!!!!!!!!!!!!!!!!!!!!!!! :)
Anestetic [448]

Hey there!

The answers are as follows:

7.)

m∠1 = 85

m∠2 = 95

m∠3 = 85

m∠4 = 85

8.)

m∠1 = 60

m∠2 = 120

m∠3 = 60

m∠4 = 120

9.)

they all equal 90

10.) No. Parallel lines do not cross each other, but these, if extended, would cross. You could use a protractor by measuring corresponding angles, and if they aren't equal, they aren't parallel.

Have a terrifcly amazing day!

3 0
2 years ago
Please help due asap <br> dbhdhdhdjdlvdbx
Sergeu [11.5K]

Answer:

E

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • How does 4 2/5 = 4.40
    9·2 answers
  • How many more days until 04-20-2069? For... school reasons....
    15·2 answers
  • Angle x measures 110 degrees. If angle x is rotated 60 degrees what is the measure of angle x
    7·1 answer
  • NEED HELP ASAP RIGHT NOW
    13·1 answer
  • The measure I NEED HELP NOW!!!!!!!
    14·2 answers
  • If a =7 and b = 2 what is 2ab
    9·2 answers
  • Find the y intercept of a line with a slope of -4 and point (2,1)
    11·1 answer
  • What is the name of an interior angle of a triangle that is not adjacent to a given exterior of the triangle
    12·1 answer
  • PLEASE HELP ME, I HAVE BEEN WAITING FOR A DAAYY!! How old am i if 400 reduced by 3 times my age is 244?
    11·1 answer
  • Which of the following points lies in the solution set of the inequality y &gt; 3x +10?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!