How do you find discontinuity?

Answers

Answer 1

There are a few ways to find discontinuities in a function. One way is to look for places where the function is not defined or where it produces an undefined result, such as division by zero. Another way is to look for places where the function exhibits a sudden change in behavior, such as a jump or a sharp turn.

To find discontinuities more formally, you can use mathematical techniques such as limits or derivatives. If you are familiar with these concepts, you can use them to identify discontinuities in a function.

For example, if you are trying to find the discontinuities of a function f(x), you can consider the limit of the function as x approaches a certain value, say x=c. If the limit of the function as x approaches c from both the left and the right is different, then there is a discontinuity at x=c. Similarly, if the derivative of the function is not defined at a certain value of x, then there is a discontinuity at that point.

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Answer 2

if you are trying to find the discontinuities of a function f(x), you can consider the limit of the function as x approaches a certain value, say x=c. If the limit of the function as x approaches c from both the left and the right is different, then there is a discontinuity at x=c. Similarly, if the derivative of the function is not defined at a certain value of x, then there is a discontinuity at that point.


Related Questions

BUENOS DÍAS PERRAsssssssss

Answers

Answer:

RRRAWRRRRRRRR

Step-by-step explanation:

Goodmorning you, how was your mf morning I geuss

If you inflate a beach ball with 14,130 cubic inches of air, what will its radius be? Use 3.14 for T. Round to the nearest whole number if necessary.

Answers

Answer:

58

Step-by-step explanation:

Suppose you have $20 in your bank account. You start saving five dollars each week. Your phone has $170 and removes $10 each week. When will you and your friend have the same amount in your account?

Answers

How many weeks are there

for brainiest:):):):):):):):):):):):)

Answers

Answer:

a) 12.5 in

b) 9.6 ft

Step-by-step explanation:

Since the scale is 2:5, you can use cross multiplication. 5*5=2x; 25=2x. Divide 2 on both sides and.. BOOM! you get 12.5.

You can do the exact same thing with the second blank. 2*24=5x; 48=5x. Divide 5 on both sides and you get... 9.6 feet!

Hope this helps! :)

The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges
$2490 to rent trucks plus an additional fee of $200.75 for each ton of sugar. The second company charges $4500 to rent
trucks plus an additional fee of $100.25 for each ton of sugar.
For what amount of sugar do the two companies charge
the same?
What is the cost when the two companies charge the
same?

Answers

I think it's how you do this!

5495 + 200.75x = 7500 + 100.50x

100.25x = 2005

x=20 <- the amount of sugar at the equilibrium point.

7500 + 100.50(20)

7500 + 2005

$9505 <- the cost at that point. ■

The formula for the circumference of a circle is C = 2(pie symbol)r. Find the circumference of a circle with a diameter of 4 ft. to O A. 12.56 cm OB. 12.56 ft2 O c. 12.56 ft O D. 25.12 cm O E. 25.12 ft​

Answers

Answer:

C) 12.56ft

Step-by-step explanation:

if diameter = 4 ft. then radius = 2 ft ( 1/2 diameter)

2 [tex]\pi[/tex] r = 2 x [tex]\pi[/tex] x 2 = 2 x 3.14 x 2 = 12.56 ft

HELP BRAINLEST GUARANTEED

Answers

Answer:

6% , 800$

Step-by-step explanation:

to answer the question we can use this proportion :

x : 100 = 30 : 500

x = (100*30)/500

x = 6%

for calculate the amount after 10 years we can use this formula

A = P(1+rt)

where P indicates the initial amount, r the rate (in decimal) and t the time of investment

A = 500(1 + 0,06 x 10) = 500(1 + 0,6) = 500(1,6) = 800 $

Hey I'm taking a math exam tomorrow please send words of encouragement please answer.

Answers

Answer:

did you study????? well if u did then why u scareddd shortteee.

PLZS HELP I NEED IT BY TODAY!

Answers

90-59 = 31
hope this helps

Help me please I need this by 5:00 help me please

Answers

Answer:try doing the method

Step-by-step explanation:

A= Base Side

B= Base Side

C=Base Side

H=Height

HOPE THAT HELPS!

Find the lateral area and surface area of the following figure
Round to the nearest hundredth if necessary

Answers

Answer:

lateral surface area of cone =πrl=3×8.5π=80.11in²

total surface area of cone =πr(r+l)=π×3(3+8.5)=108.38in²

HELPPPP
What is the value of x in the figure at the right?

Answers

Answer:

B) 24

Step-by-step explanation:

This angle adds to 90 degrees, so to solve for x you need this equation:

(2x) + 42 = 90

Subtract 42 from both sides to get:

2x = 48

Divide 2 from both sides to get:

x = 24

Hope it helps!!!

Question:
A group of health researchers survey a SRS of 300 teenagers, of whom 120 have low weekly outdoor activity levels and 180 have high weekly outdoor activity levels. Suppose that 35 percent of teenagers with low outdoor activity levels have allergies, and that 41 percent of teenagers with high outdoor activity levels have allergies. The researchers want to see the difference between the sample proportions. What will be the shape of the sampling distribution be and why?

Choices:
A. Approximately normal, because we expect 105 successes and 195 failures from teenagers with low levels, and 123 and 177 from teenagers with high levels, and all of these counts are at least 10.
B. Approximately normal, because we expect 42 successes and 78 failures from teenagers with low levels, and 73.8 and 106.2 from teenagers with high levels, and all of these counts are at least 10.
C. Not normal, because we expect fewer than 10 failures in both samples.
D. Not normal, because we expect fewer than 10 successes in both samples.

Answers

Answer:

B

Step-by-step explanation:

△RST shows a city's plan for a new building near the beach that will have free surfboard rentals. Given that the area of △RST is x, complete the equation m∠T = sin–1 mn in terms of the variables x, r, s, and t. (will give 90 points for answer)

Answers

Answer:

yes. we do proportions in probabilities.

Answer from: Quest

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

the number of the people going.

the cost to buy one movie ticket is $7. if the total cost for the movie is a function of how many people go, then the input is : the number of the people going.

Step-by-step explanation:

i hope one of these are right sorry if not

Please help will mark brainliest:)

Answers

It’s .020202 but you can put .02

What Gets Wetter The More It Dries?
Write the letter of each answer in the box containing the exercise number
Complete the sentence.
1. If two angles of one triangle are congruent to two angles of another
triangle, then the two triangles are A
Use the diagram.
р н
Answers
K 73°
L. 17°
U. false
T. 62°
A. congruent
2. If mC = 36°, then mZH = 54. True or false?
O
M. right angle
W. similar
3. AEDC - AA
E. 43
4. If mZE = 73°, find m2K.
LEDC
Use the diagram and the glven Information to find the Indicated
measure
0. true
D. 42
A. HGK
B. KGH
C с
E
A
5. MZA = 42°, m.ZD = 95°, mZE = 42°, ZB - ZD;
Find mZACB
6. MZA = MZE = m ZACB = MZECD = 59°; Find m2D.

Answers

Answer:

A “Towel”

Step-by-step explanation:

Can anyone help me on this?

Answers

Answer:

[tex]x = 1, -5[/tex]

Step-by-step explanation:

[tex]f(x) = x^2 +4x - 5[/tex]

Factor the expression. Factoring is the process of writing out an expression by using other expressions such that when the other expression are multiplied together, the resulting expression is the initial expression.

[tex]f(x)=x^2+4x-5[/tex]

[tex]f(x)=(x+5)(x-1)[/tex]

Now set the expression equal to zero to find the roots (also known are zeros) of the expression. Use the zero product property to find the answers, the zero product property states that any number times zero is zero.

[tex]0=(x+5)(x-1)\\[/tex]

[tex]x=-5,x=1[/tex]

Help
This is big
Plsss

Answers

Answer:

The answer for this would be:

Sin P = Opp/Hyp

Sin P = 55/73

Answer = 55/73

Please mark my answer as brainliest for further answers :)

What is the y-value when x = 0 in the function below? y = 8x + 7​

Answers

Answer:

7

Step-by-step explanation:

8 x 0 = 0

0+7=7

Answer:

Y = 7

Step-by-step explanation:

Since X is 0, 8 times 0 is still 0. That leaves 0+7, which is 7. Y is equal to 7.

HELP ASAPPP PLEASE AND IF U DO NOT KNOW THE ANSWER DONT ANSWER
———————-
A. small
B. medium
C. large
D. x-large

Answers

Answer:

he should bring more medium size

Step-by-step explanation:

please brainliest I was the first answer

It's about 5 AM, haven't slept in 28 hours, need help.

Answers

Answer:

2nd option

Step-by-step explanation:

8[tex]x^{4}[/tex] - 4x³ - x + 2 - (2[tex]x^{4}[/tex] - 8x² - x + 10) ← distribute by - 1

= 8[tex]x^{4}[/tex] - 4x³ - x + 2 - 2[tex]x^{4}[/tex] + 8x² + x - 10 ← collect like terms

= 6[tex]x^{4}[/tex] - 4x³ + 8x² - 8

Someone pls help im new :( tysm if u do:))

Answers

The answer to question 1/3 (-10)(9) is -30.

If this is incorrect, please, don't refrain to tell me. Thank you.

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!

Answers

Answer:

x = 10, y ≈ 11.2

Step-by-step explanation:

Hi there,

We can find the length x first since we are given the lengths of the other two sides of the bottom right triangle. In order to find the length of x, it is important to know the Pythagorean Theorem and the fact that x is the hypotenuse.

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]   ← Pythagorean Theorem

To find x:

[tex]6^{2}[/tex] + [tex]8^{2}[/tex] = [tex]c^{2}[/tex]

100 = [tex]c^{2}[/tex]

c = 10

Therefore, the value of x is 10.

To find y:

We now know the length of two sides of the upper right triangle. The value of y can be found by using the theorem again.

[tex]a^{2}[/tex] + [tex]10^{2}[/tex] = [tex]15^{2}[/tex]

[tex]a^{2}[/tex]  + 100 = 225

[tex]a^{2}[/tex] = 125

a = [tex]\sqrt{125}[/tex]

a = 11.2 when rounded to the nearest tenth.

Therefore, the value of y is approximately 11.2.

Hope this explanation is useful. Cheers.

A certain building has a triangular shaped face to link up of the sides of the triangular base or 145 feet 257 feet in 290 feet five find the area of the base of the building

Answers

Answer:

18617.66 ft^2

Step-by-step explanation:

sides of triangular base

a=  145ft  ,

b = 257ft ,

c =  290ft

calculate the area of the base  

The base is a scalene triangle hence the area is calculated as follows

s = ( a + b + c ) / 2

  = ( 145 + 257 + 290 ) / 2 = 346

Area of triangle = [tex]\sqrt{s(s-a)(s-b)(s-c)} = \sqrt{346(201)(89)(56)}[/tex]

                          = 18617.66 ft^2

The length of a rectangle is 6 inches longer than its width. The perimeter of the rectangle is 28 inches. If x represents the
width of the rectangle in inches, which equation can be used to find its value?

Answers

Answer:

2(x + (x+6)) = 28

Step-by-step explanation:

2x+2x+12 = 28

4x + 12 = 28

4x=16

x=4

width = 4

length = 10

Answer:

d. 2(x + 6) + 2x = 28

Step-by-step explanation:

No links!!! Math help. Urgent

Answers

c. Since ST is a diameter, the angles that make it up sum to 180. So SRV + TRV = 180. So TRV = 180 - 53 = 127

3)
The first number minus the second number
is always eight

Answers

Answer:

Well, I mean, that's a vague question. there are a ton of numbers where you can subtract a second number and have it equal eight. 15 - 7 = 8

Step-by-step explanation:

if f(x) = -4(9/8)x, then what is the sum of its y-intercept and its value where x=1?

Answers

Answer:

when X=1 y = -9/2

Step-by-step explanation:

[tex] - 4 < \frac{9}{8} > {}^{1} = - 4 < \frac{9}{8} > = - \frac{ 36}{8} = - \frac{9}{2} [/tex]


I need help please !

Answers

Answer:

Step-by-step explanation:

Remark

The lone dot on the graph that is between 8 and 9 thousand meters is Mount Everest. I think a good estimate is 8200 meters. Remember, this is just an estimate. You don't have to get it exactly right.

Question

How close is your estimate? When you look it up, Mt. Everest is given as 8849 meters, but don't use that number. They are looking for a number that is under 8500. Estimates are just that -- estimates.

Equipment with a cost of $634800 has an estimated salvage value of $30000 and an estimated life of 4 years or 14400 hours. It is to be depreciated by the straight-line method. What is the amount of depreciation for the first full year, during which the equipment was used for 3600 hours?

Answers

Answer:

$151,200

Step-by-step explanation:

According to the problem, calculation of the given data are as follows,

Cost of Equipment = $634,800

Salvage Value = $30,000

Estimated Life = 4 years

So, we can calculate depreciation for first year by using following formula,

Amount of depreciation = Depreciable base amount ÷ Estimated Life

Where, Depreciable base amount = Cost of Equipment - Salvage Value

= $634,800 - $30,000 = $604,800

By putting the value, we get

Amount of depreciation = $604,800 ÷ 4

= $151,200

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