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
Javed downloaded from the Internet two files that had a combined size of 696 megabytes. The size of the first file was
290 megabytes, and it took 5 minutes to download, Assuming that the files downloaded at a constant speed, how long
did it take for the second file to download?
2 minutes
4 minutes
7 minutes
12 minutes
Answers
Answer:
c 7 mins
Step-by-step explanation:
Last month, Sheldon earned $12.80 in interest on a $320 deposit into his bank account. If the interest earned is directly proportional to the amount deposited, how much interest can Sheldon expect next month if he deposits $830?
Answers
Answer:
x = 32.20 !!
Step-by-step explanation:
Basically what your going to do is 12.80/320 = x/320
320x = 830 * 12.80
Sooooo X=32.20
Hop this helped
≥≥↔≡⇒mjfjch hfxcfhdskjlhvhjgfcvnfhju,b
Answers
Answer:
$1620.00
Step-by-step explanation:
WILL MARK BRAINLIEST PLS HELP
choose all of the points that are solutions to the equation y = x2 - 3x - 4
-4,0
-1, 0
0, -4
1, -6
1, 0
3, -7
pls
Answers
Answer:
-1,0
0,-4
1,-6
Step-by-step explanation:
plug in the first number into x and it gets you the second number
(-1, 0), (0, -4), (1, -6) points are solutions of the given quadratic equation.
What is a quadratic equation?A quadratic equation is an equation where the variable has the highest power of 2.
Given equation is y = x² - 3x - 4
1. For (-4, 0), L.H.S = 0, R.HS = (- 4)² - 3(- 4) - 4 = 24.
Hence, (-4, 0) is not a solution of the given equation.
2. For (-1, 0), L.H.S = 0, R.HS = (- 1)² - 3(- 1) - 4 = 0.
Hence, (-1, 0) is a solution of the given equation.
3. For (0, -4), L.H.S = -4, R.HS = (0)² - 3( 0) - 4 = - 4
Hence, (0, -4) is a solution of the given equation.
4. For (1, -6), L.H.S = -6, R.HS = (1)² - 3(1) - 4 = -6.
Hence, (1, -6) is a solution of the given equation.
5. For (1, 0), L.H.S = 0, R.HS = (1)² - 3(1) - 4 = -6.
Hence, (1, 0) is not a solution of the given equation.
6. For (3, -7), L.H.S = -7, R.HS = (3)² - 3(3) - 4 = -4.
Hence, (3, -7) is not a solution of the given equation.
Learn more about quadratic equation here: https://brainly.com/question/2263981
#SPJ2
I DONT GET THIS QUESTION SOMEONE PLEASE HELP
Answers
Answer:
I think its the angle xyz
Step-by-step explanation:
Because its just bigger and flipped
Answer:
I don´t either.
Step-by-step explanation:
does (-24,-12) and (-15,-9) line pass through point (18,2)?
Answers
Find the slope using the formula [ y2-y1/x2-x1 ].
-9-(-12)/-15-(-24)
3/9
1/3
Find the y-intercept using the formula [ y = mx + b ].
y = 1/3x + b
-12 = 1/3(-24) + b
-12 = -8 + b
-4 = b
Use (18, 2) to see if the line passes through it
y = 1/3x - 4
2 = 1/3(18) - 4
2 = 6 - 4
2 = 2 TRUE
Thus, the line does pass through (18, 2).
Best of Luck!
the line does not pass trough the point (18, 2) that other line decreases and for it to passes through the point it would have to increases
A cookie jar has 3 dozen chocolate chip, 1 dozen peanut butter, and 2 dozen oatmeal raisin cookies. If Megan chooses a cookie, does not
replace it, then chooses another, what is the probability that she chooses a peanut butter then a chocolate chip cookie?
A) 6/71 to attempt to make new friends
B) 1/12 to make people jealous
C) 2/3 to win a trophy
D) 1/10 to get attention
E) 11/72 to get others to join
Answers
Answer:
A) 6/71 to attempt to make new friends
Step-by-step explanation:
The probability that she chooses a peanut butter then a chocolate chip cookie is about 6/71 in an attempt to make some new friends!
I hope this helps! Good luck with your assignment/test! <3
- 7v7
Use the distributive property to remove the parentheses (-1+2x+2u)(-8)
Answers
Answer:
8-16x-16u
Step-by-step explanation:
(-1+2x+2u)(-8) multiply each term in the ( ) by 8
-1x(-8)-2x x 8-2u x 8 any expression multiplied by -1 equals its opposite
8-2x x 8-2u x 8 calculate the product
8-16x-2u x 8
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
I need this by today, please help. Will give brainliest.
Annika's older cousin borrowed $800 to repair her car. she will pay off the loan after 2 years by paying back the principal plus 4.5% simple interest each year. How much will she spend in interest? How much will she pay back altogether?
Answers
Answer:
The equation below is provided:
$800 = principal amount borrowed/loaned
4.5% = interest per year
2 years = terms of payment
You need to know how much is the interest per year.
$800 * 4.5% = $36
Then, multiply the amount to the terms of payment to know the total amount of the interest to be paid.
$36 * 2 years = $72
The correct answer for the amount that Anika will spend for the interest is $72.
if the temperature drops from 7f to -17f how much did the temperature decrease
Answers
Answer:
there was a decrease of 24 degrees.
Step-by-step explanation:
7-24=-17
Answer:
there was a decrease of 24 degrees.
Step-by-step explanation:
7-24=-17
1. Write 12 cookies to 30
brownies as a ratio in
simplest form.
5:2
12:18
2:5
Answers
Answer:
The correct answer would be 2:5
Step-by-step explanation:
Answer:
2:5
Step-by-step explanation:
12÷6=2 30÷6= 5 is the simplest form
What is the product of 1/2x1/8 answer first and get brainliest only have 45 minutes
Answers
Answer:
1/16
Step-by-step explanation:
1×1=1
2×8=16
Your welcome
Miguel bought a shirt for $13.95, a pair of pants for $16.87, and a hat for $7.79. What was the total amount of money Miguel spent?
Answers
Answer:
they did not pay the same rate.
2 pairs for $50
50÷2=25
Miguel spent $25 on each pair of jeans
4 pairs for $90
90÷4=22.5
Han spent $22.50 on each pair of jeans
Therefore these two did not pay the same rate.
Step-by-step explanation:
Wanna chat add me as a friend OR COME TO Snap (ADAMBELAL839)
Answer:
38.61
Step-by-step explanation:
Each value added to gether to achieve your final value
Please help now :)))
Answers
Answer:
c
Step-by-step explanation: there's 3 muffins for every 5 pizza pies and there's 9 which is 3 times the muffins and 15 which is 3 times the pizzas
Solve the system of equation by elimination.
x+2y= -7
-x-2y=8
A. (8,7)
B. No solution
C. (-7,8)
D. (-8,7)
If you can, please explain step by step:)
Answers
Answer: D
Step-by-step explanation:
Help does anyone know this?
Answers
Answer:
(2x - 4)(2x + 7) = 4x^2 +14x - 8x -28
= 4x^2 + 6x -28
(x)(x+3) = x^2 + 3x
(4x^2 + 6x - 28) - ( x^2 + 3x ) = 3x^2 + 3x -28
Ryan has a checking account balance of -$25. Write an absolute value statement to show how much money Ryan owes the bank.
Answers
My best guess is x^2 + x - 25
I’m sorry if I’m wrong
What is 9.52% expressed as a decimal?
Answers
Answer:
0.0952
Step-by-step explanation:
Percent just divide by 100
9.52 ÷ 100 = 0.0952
Answer:
0.0952
Step-by-step explanation: In order to get a decimal out of a percentage you take the decimal and put it two places to the left. Hope this helps!
3
t: for t=
4
4
Your answer
Answers
Answer: If that's 44 then your answer is going to be 132 but if it is just 4 is going to be 12 if it is 4.4 then it's going to be 13.2
Step-by-step explanation:
44x3=132
4x3=12
4.4x3=13.2
To calculate your Medicare tax deductions, multiply your gross pay by 1.45%. If your gross pay was $350.00, what would be the amount deducted for Medicare? ASAP!!!
Answers
The Correct Answer: $5.07
PLZ HELP ME I BEGG YOU
Answers
Find the slope of the line through each pair of points
(3, -20), (5, 8)
Answers
(8-(-20))/(5-3) = 28/2 = 14
The slope is 14
Answer:
Can you try turning the 5,8 into a ratio? thats all I can think of right now
Step-by-step explanation:
CAN SOMEONE HELP ME PLS
Answers
EXPLANATION: C. FAE
10 binder; 60% off; 6% tax
Answers
Answer:
I'm going to assume that the binder is $10, and that the tax is applied after the 60% off, in which case the answer is $4.24
Step-by-step explanation:
10 * 10 = 100
6 * 10 = 60
10 - 6 = 4
6 / 25 = 0.24
4 + 0.24 = 4.24
Answer: $4.24
Solve the equation and enter the value of x below.
-4x-13 = 51
X=
Answer here
Answers
Answer:
x = -16
Step-by-step explanation:
-4x - 13 = 51
-4x = 51 + 13
-4x = 64
x = -16
Daisy has 23 meters of rope. She wants to know how much that is in inches. There are approximately 2.5 centimeters in 1 inch. What is the best estimate to the number of inches in 23 meters
Answers
905.51 in
Expand.
Your answer should be a polynomial in standard form.
(b^2 + 4b + 4 )(-b+3)=
Answers
(b2+4b+4)(-b+3)
(b2)(-b)+(b2)(3)+(4b)(-b)+(4b)(3)+(4)(-b)+(4)(3)
-b3+3b2-4b2+12b-4b+12
-b3-b2+8b+1
3m = 14.4
4. Wilton drives an Uber. He charges $20 per hour. One passenger gave Wilton an additional tip of $10, which made the total he paid $90. How many hours did Wilton drive the passenger?
MUST SHOW WORK
Answers
Answer: 4 hours
Step-by-step explanation:
okay so you have to know your times tables 2*4=8 so 20*40=80 then if he paid a tip of 10$ that would equal $90 witch is what he paid.
I WILL GIVE 30 POINTS TOO WHOM FIRST ANSWERS THIS QUESTION RIGHT!!!! AND IF I HAVE OTHER QUESTIONS AND THEIR ANSWERED I WILL COUNT BRAINLIEST!!!!!!!
Solve the inequality below.
-x + 5 < 7
Which of the following values of x DO NOT make the inequality true?
A. -1
B.- 3
C. 7
D. 5
Answers
Answer:
B: -3
Step-by-step explanation:
-(-3) + 5 < 7
3 + 5 <7
8 < 7 FALSE
Answer:
-3
Step-by-step explanation:
Solve for x in the inequality, to get x > -2 (see the image below if you want to know how to solve it). Then, we can substitute the numbers for x to see which ones DO NOT make the inequality true:
-1 > -2 This is true, because -1 is greater than -2
-3 > -2 This is false, because -3 is not greater than -2
7 > -2 This is true, because 7 is greater than -2
5 > -2 This is true, because 5 is greater than -2
So you can see that -3 is the number that DOES NOT make the inequality true. So therefore:
Answer: -3
Hope this helps! :)