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forsale [732]
3 years ago
10

Which condition must be satisfied in order to use the arc length formula L = the integral from a to b of sqrt(1 + f'(x)^2) dx?

Mathematics
1 answer:
ivanzaharov [21]3 years ago
6 0
Looking through my old calc notes, I am reading that f(x) needs to be continuous on [a,b] and f ' (x) also needs to be continuous on [a,b]. Both conditions are needed. If you had to pick just one, then I'd say f(x) being continuous is much more important. Though I'm not 100% sure on this one. My thinking is that if there was any discontinuities on f(x), then the arc length would be distorted and overblown. The arc length should not account for any piece that isn't on the curve. 
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3x + 1 < −2x + 8
Fantom [35]

Hello there!


The correct answer is B. Why? Well, we cannot choose A, because we don't have a multiplication sign. We cannot choose C because we also don't have a multiplication sign. However, since we have a PLUS sign and a Subtraction sign, we can say that the correct answer is option B.


3x + 1 < -2x + 8

We wanna start by subtracting 1 on both sides

3x + 1 - 1 < -2x + 8 - 1

3x < -2x + 7

Add 2x on both sides

3x + 2x < -2x + 7 + 2x

5x < 7

x < 7/5


I hope this answer helps! As always, it is my pleasure to help students like you. If you have any additional questions, feel free to comment them down below. I'll see you around!

8 0
3 years ago
Karel wants to buy a points card for his x-box
scoundrel [369]

Answer:

Both cards are the same value.

Step-by-step explanation:

$10 for 200 points = $5 for 100 points

$15 for $300 points = $5 for $100 points

Both cards are the same value.

4 0
3 years ago
Uv = 8 and wx=5 find the missing measure of a rhombus
Harlamova29_29 [7]

Answer:

  • TU = UV = VW = WT = 8
  • WX = UX = 5
  • XV = XT = √39

Step-by-step explanation:

At first we should know the following about the rhombus

1) All sides are congruent

2) The diagonals are perpendicular and bisects each other.

Given UV = 8 and WX = 5

So, according to (1)

TU = UV = VW = WT = 8

And according to (2)

WX = UX = 5

And ΔWXV is a right triangle at ∠x

So, XV² = WV² - WX² = 8² - 5² = 64 - 25 = 39

∴XV = √39

So, XV = XT = √39

So, the missing measure of a rhombus are as following:

  • TU = UV = VW = WT = 8
  • WX = UX = 5
  • XV = XT = √39
3 0
3 years ago
Please help!!! what is the value of x?
nika2105 [10]

Answer:

x=1

Step-by-step explanation:

Look at the bottom of the triangle you will see that 1 = x

4 0
3 years ago
What are the common factors of 10 25 and 75
Varvara68 [4.7K]
25 is the greatest common factor of 75 and 25. 3 x 25 = 75.
6 0
3 years ago
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