Let f be a continuous function on the interval [a, b]. Determine if the following statement is true or false. The expression lim f(xi") ax may lead to different limits if we choose the x * to be the left endpoints instead of midpoints. ni=1 Choose the correct answer below. O A. The statement is true. Each sum will be smaller when picking a left endpoint, so the limit will be smaller. OB. The statement is false. Any sample point can be chosen within the interval without affecting the limit. O C. The statement is true. The value of the function at the left endpoint is not the same as the value at the midpoint of the interval D. The statement is false. The value of the function at the left endpoint is the same as the value at the midpoint of the interval. w Click to select your answer
![Let F Be A Continuous Function On The Interval [a, B]. Determine If The Following Statement Is True Or](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/quHK8sa4OzZHeT8S7jTNuEzxQYZVyBp3.jpeg)
Answers
Answer:
The correct answer is B.
Step-by-step explanation:
We have the expression:
[tex]\displaystyle \lim_{n\to\infty}\sum_{i=1}^{n}f(x_i\, ^\star)\Delta x[/tex]
In this case, B is the correct answer.
B states that any sample point can be chosen without affecting the limit.
This is a true statement. Regardless of which point we choose for our sample point, since n approaches infinity, we will have infinite partitions.
Hence, this will not affect the sum of our expression.
A and C are false because we have infinite partitions, so the statements cannot be true. D is not true simply because the left-hand values do not have to be the same as the midpoint-values depending on the behavior of the function for [a, b].
Related Questions
-6 + (-3) - (-2) =
A. 11
B. 7
C. -7
D. -11
Answers
Answer:
C. -7
Step-by-step explanation:
C. -7
Step by step explanation:
-6+(-3)-(-2) When there is a in front of an expression in parentheses, the expression remains the same and when there is a in front of an expression in parentheses, change the sign of each term in the expression
-6-3+2= -7
What is the quotient 8 x 4 − 12 x 2 − 16 x 4 x , where x ≠ 0 ?
Answers
Answer:
that = 8 and if you want to see more you can go on
1.73 to 1.52 write fraction in simplest form
Answers
Answer:
I think that the answer that 1.13815789. I hope that this helps:)
Step-by-step explanation:
The length of a rectangle is three times its width. If the area of the rectangle is 243 m squared, find it’s perimeter
Answers
Answer: 72
Step-by-step explanation:
L= 3W
area of a rectangle A= LxW
replace L with 3 W
A=3W*W= 3w^2
243=3W^2
243/3=W^2
81=w^2, and W=9
L=3*9=27
P= (L+W)=2(27+9)=72
HELP ME PLS :(
Janis is 65 inches tall. What is her height in centimeters? (2.54 cm = 1 inch)
Answers
Answer:
I think the answer 165.1 cm tall
Step-by-step explanation:
multiply 2.54 by 65
Answer:
165.10cm
Step-by-step explanation:
i think so
Watch help video
If using the method of completing the square to solve the quadratic equation
X2 – 9x + 38 = 0, which number would have to be added to "complete the
square"?
Answers
Answer:
Step 1 Divide all terms by a (the coefficient of x2).
Step 2 Move the number term (c/a) to the right side of the equation.
Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.
hope this help
but this is little info dont worry i will answer your question just in a minute
Step-by-step explanation:
HELLLLLPPPPPPPP MY SISTER HAS LATE HOMEWORKKKKK she need help with number 4. the empty space is the part where She need to show how She got her answer so if someone could help that would mean the world to me and her
Answers
Answer:
13
Step-by-step explanation:
13x4=52 that would be in the check section or whatever but she did really good
Answer:
Your sister did the equation perfectly. That's exactly how I would work it, and the answer is 13.
True or False: The commutative property allows you to change the order of an addition problem and division problem.
<333
Answers
Answer:
True!!Step-by-step explanation:
The commutative, associative, and distributive properties help you rewrite a complicated algebraic expression into one that is easier to deal with. When you rewrite an expression by a commutative property, you change the order of the numbers being added or multiplied.
Hope this helps!! Please consider marking brainliest! Have a good one!!
The graph of the equation x + 3y = 6
intersects the y-axis at the point whose
coordinates are: (Find the y intercept)
which answer?
(0,2)
(0,6)
(0,18)
(6,0)
Answers
0 + 3y = 6
Divide by 3
Y = 2
The point is (0,2)
Multiply. Write your answer as a fraction in simplest form. −1(4/5)=
Answers
Answer:
-4/5
Step-by-step explanation: When you multiply anything by one it is always itself but in this case the one has a negative in front of it so when you multiply a positive number by a negative it makes the number negative.
-1 * 4/5
-4/5
A truck enters a stretch of road that drops 4 meters
in elevation for every 100 meters along the length of
the road. The road is at 1,300 meters elevation where
the truck entered, and the truck is traveling at
16 meters per second along the road. What is the
elevation of the road, in meters, at the point where
the truck passes t seconds after entering the road?
Answers
Answer:
The elevation would lower in total 52 feet.
Step-by-step explanation:
Answer:
it would be 52 feet
Step-By-Step explanation
i need some help asap no rocky
Answers
Answer:
This is way out of my level sorry. Thanks me
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
math
Can someone please help me with this question i have 3 minutes left
Answers
Answer:
It will cost 11 cents a day.
Step-by-step explanation:
1.98/18=11
plzz have brainiest
Put these integers in order from least to greatest.
34, 0, – 17, - 56 , 5
Answers
Answer: -56 -17 0 5 34
Step-by-step explanation:
The more left you go on a number line the smaller it is
Answer:
-56,-17,0,5,34
Step-by-step explanation:
negatives are less than the positives so you start with the greatest negative and then go to the positives. The 0 is the origin.
Find the median: In a particular year, approximately 1.7 million people took the mathematics section of a college achievement test. Of these, 44% scored less than 490, 45% scored less than 500, 48% scored less than 510, 51% scored less than 520, and 57% scored less than 530. In what interval is the median score? The median score is in the interval â–¼(Choose one).
Answers
Answer:
the median score would be between 510 and 520
Step-by-step explanation:
The computation of the median score is shown below
In the case of the continuous probability distribution, the median value is the mid value in which the number is equal to fall to above or below it
Here
P(X = median) = 0.5 = 50%
So the median score would be between 510 and 520
Hence, the same is to be considered
Help quick simple works out
Answers
Answer:
( x + 5 ) · ( x + 1 )
Step-by-step explanation:
-Factoring by grouping-
First, split the middle term into two parts that are factorable by the other variables.
x² + x + 5x + 5
Factor the parts
x · ( x + 1 ) + 5 · ( x + 1 )
( x + 5 ) · ( x + 1 )
Answer:
C
Step-by-step explanation:
Given
x² + 6x + 5
Consider the factors of the constant term (+ 5) which sum to give the coefficient of the x- term (+ 6)
The factors are + 1 and + 5 , since
1 × 5 = + 5 and 1 + 5 = + 6, thus
x² +6x + 5 = (x + 1)(x + 5) → C
HELP PLS! It’s question 15
Answers
Answer:
A: C = 15N
Step-by-step explanation:
30/2 = 15 (the cost of 1 class)
what word problem would fit for 7x+10=-3x-2
Answers
Answer:
A number is multiplied by 7 and the added to 10 and it is equal to when -3 is multiplied by the same number and then 2 is taken away. Find the number.
Step-by-step explanation:
interpretation: 7x+10=-3x-2
please please please help me i’ll mark brainliest
Answers
Given:
The graph of a function f(x).
To find:
The solution set for f(x)>0 and f(x)≤0.
Solution:
From the given graph it is clear that, the function intersect the x-axis at 3 points, i.e., x=-4, -3 and -2.
The graph is above the x-axis before -4 and between -3 and -2.
So, the solution set for f(x)>0 is [tex](-\infty,-4)\cup (-3,-2)[/tex].
The graph is below the x-axis between -4 and -3; and after -2. For f(x)≤0, those values are in the solution set for which f(x)=0, i.e., x-intercepts. So, we use close brackets in the interval notation.
So, solution set for f(x)≤0 is [tex][-4,-3]\cup [-2,\infty)[/tex].
this is my question
Answers
Answer:
5*0.2=1
Step-by-step explanation:
The answer is 0.2
Brainliest pls
Your baseball team has a goal to collect at least 160 blankets for a shelter. Team members brought 42 blankets on Monday and 65 blankets on Wednesday. Write and solve an inequality to find out how many blankets the team must donate on Friday to make or exceed their goal?
Answers
The x-intercept for the line 2x + 3y = 18 is (x, 0). What is the value of x?
Answers
Answer:
The answer is nine :)
Step-by-step explanation:
A factory employs over 3000 workers, of whom 30% are women. If the 15 members of the union executive committee were chosen from among the workers without regard to gender
Answers
Answer:
I think 4000 worker and I will be there at some point today and I
How do I find slope and y-intercept??? Please help me!!
Answers
The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.
6/ PLEASE HELP ME ASAP.
Answers
Answer:
40
Step-by-step explanation:
In the minute number 2, you can see the intersection point in 40 packs.
Best regards
hi my question is what is 72x13
Answers
Answer:
936
7 2
× 1 3
2
2 1 6
7 2 0
9 3 6
Brainleist?
Which statements are true? Select all that apply.
Centigrams are larger than decigrams.
Hectometers are smaller than kilometers.
Dekaliters are larger than kiloliters.
Grams are smaller than dekagrams.
A 2-column table with 7 rows. Column 1 has entries kilo, hecto, deka, unit, deci, centi, milli. Column 2 has entries 1,000, 100, 10, 1, 0.1, 0.01, 0.001.
Answers
Answer:
A and C
Step-by-step explanation:
Answer:
b and c
Step-by-step explanation:
im right
There are 42 female performers in a dance recital. The ratio of men to women is 2:3. How many men are in the dance recital
Answers
Answer:
28
Step-by-step explanation: This should be 28. 42 divided by 3 is 14. Why would you divide it by 3? Because the full ratio is 2:3. So 42 divided by 3 is 14. Then you add fourteen twice, for the two in the ratio. Fourteen plus fourteen is 28.
A 22-ounce casserole contains 8 servings. How many ounces are in 1 serving of the casserole?
Answers
Answer:
the answer is 2.75 to this question
Answer:
2.75
Step-by-step explanation:
22 divided by 8 will get the ounces per serving.
a bow bear could watch 44 in 4 seconds at this rate how far can a brown bear run in 20 seconds
Answers
Answer:
111 is a great place to be your friend
Step-by-step explanation:
I am not it to 3rd or 3rd to be friends
Answer:
220
Step-by-step explanation:
44 divided by 4 = 11
11 times 20 = 220 so that's the answer
BRAINLIEST PLEASE