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
Kay [80]
3 years ago
8

What are the bounds of integration?

Mathematics
2 answers:
Elodia [21]3 years ago
7 0
I really hope this is right ! Pleas forgive me if it isn’t . A mathematical analysis of integration of intergal . So basically the region that is bounded . (Example [DX]
Marina CMI [18]3 years ago
3 0

Answer:

so the limits are 2 and 9

We want to express  as a integral. To do this, we have to identify  as a Riemann Sum that approximates the integral. (taking the limit makes the approximation equal to the value of the integral)

In general, to find a Riemann sum that approximates the integral of a function f over an interval [a,b] we can the interval in n subintervals of equal length and approximate the area (integral) with rectangles in each subinterval and them sum the areas. This is equal to

, where  is a selected point of the subinterval.

In particular, if we select the ending point of each subinterval as the , the Riemann sum is:

.

Now, let's identify this in  .

The integrand is x² so this is our function f. When k=n, the summand should be  because the last selected point is b. The last summand is  thus b=9 and b-a=7, then 9-a=7 which implies that a=2.

To verify our answer, note that if we substitute a=2, b=9 and f(x)=x² in the general Riemann Sum, we obtain the sum inside the limit as required.

You might be interested in
Four ounces of a certain perfume cost 20$. How much would six ounces of perfume cost?
cupoosta [38]

Answer:

30

Step-by-step explanation:

you divide 20 by 4 then multiply that by 6

7 0
3 years ago
The grid shows Figure Q and its image Figure Q′ after a transformation.
Svetach [21]

The transformation of pentagon Q to pentagon Q' is a clockwise rotation of 180° about the origin.

<h3>What is transformation?</h3>

A transformation is a general term for four specific ways to manipulate the shape or position of a point, a line, or a geometric figure.

We have,

Coordinates of a pentagon Q.

(2, 4), (3, 7), (7, 5), (5,4), and (4,2).

Coordinates of pentagon Q'.

(-2, -4), (-3, -7), (-7, -5), (-5,-4), and (-4,-2).

We see that the coordinates of each point of the pentagon Q have changed their position as negative coordinates in pentagon Q'

The coordinates of pentagon Q are in (x, y) which can be assumed to be in the first quadrant of the coordinate plane.

The coordinates of pentagon Q' are in (-x, -y) which is in the 3rd quadrant.

From the first quadrant to 3rd quadrant there is a rotation of 180°.

Thus the transformation of pentagon Q to pentagon Q' is a clockwise rotation of 180° about the origin.

Learn more about transformation here:

brainly.com/question/4458799

#SPJ1

8 0
1 year ago
Write the following quadratic in vertex form X^2-10x+7
grin007 [14]
Hello,

y=x²-10x+7=x²-2*5x+25-25+7=(x-5)²-18
================================
5 0
3 years ago
The length of the sides of a triangle from a G.P. The length of the longest side exceeds that of the shortest side by 9cm. The p
Bas_tet [7]

Take sides as a, \: ar, \: ar^2

6 0
3 years ago
PLZ help picture included
cupoosta [38]

Answer:

4 miles

Step-by-step explanation:

Let

x ----> the time to returned back biking in hours

d ---> the distance in miles

s ---> speed in miles per hour

Remember that

The speed or rate is equal to divide the distance by the time

s=\frac{d}{t}

The distance is equal to multiply the speed by the time

d=st

we know that

18\ min=\frac{18}{60}\ hours

The distance to his friend's house and the distance of return is the same

so

10x=4(x+\frac{18}{60})

solve for x

10x=4x+\frac{18}{15}

subtract 4x both sides

10x-4x=\frac{18}{15}

6x=\frac{18}{15}

x=\frac{1}{5}\ hours

The total distance of the round trip is

y=10x+4x+\frac{18}{15}

substitute the value of x

y=10(\frac{1}{5})+4(\frac{1}{5})+\frac{18}{15}

y=2+2=4\ miles

6 0
3 years ago
Other questions:
  • Factoring Polynomials (I don't know how to identify which is which)​
    12·1 answer
  • If a line of type measures 5 inches (12.5 centimeters) in length, how many picas long is it
    11·1 answer
  • Lucy makes 4/7 of a dress in 3/4. How many dresses does she make in one hour
    13·1 answer
  • 32 3/4 take away 12 1/2​
    14·2 answers
  • Multiply. write the result in scientific notation. (2.3x10^1)(7x10^6)
    13·2 answers
  • The area of the scale model of a garden is 15 square feet. The scale model is enlarged by a scale factor of 3 to create the actu
    13·2 answers
  • A line is perpendicular to y = -x + 1
    6·1 answer
  • How many times can 12 go into 20
    9·1 answer
  • Geometry PLEASE HELP<br><br> I’m right? Yes or no?
    14·1 answer
  • Question 1 (Fill-In-The-Blank Worth 3 points)
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!