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Calculus Examples

Popular Problems Calculus Find the Domain and Range f(x)=5x-3

f

(

x

)

=

5

x

−

3

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

(

−

∞

,

∞

)

Set-Builder Notation:

{

x

|

x

∈

R

}

The range is the set of all valid

y

values. Use the graph to find the range.

Interval Notation:

(

−

∞

,

∞

)

Set-Builder Notation:

{

y

|

y

∈

R

}

Determine the domain and range.

Domain:

(

−

∞

,

∞

)

,

{

x

|

x

∈

R

}

Range:

(

−

∞

,

∞

)

,

{

y

|

y

∈

R

}

Step-by-step explanation:

Correct answer:

(The primes between 40 and 50 are 41, 43, and 47 - three.

Direct proportion simply means the relationship between two variables when C. They increase and decrease at the same rate.

Direct proportion simply means the relationship that exists between two variables whereby the ratio is equal to a constant value.

In a direct proportion, it should be noted that an increase in a quantity will lead to a corresponding increase in the other quantity. Also, a decrease in one quantity also results in a corresponding decrease.

Read related link on:

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Answer: 3

Step-by-step explanation:

Answer: -5

Step-by-step explanation:

Based on the graph given, the point that on the graph that corresponds with the shop's net worth when Rico opened it is -5.

The point that the shop was opened is represented by the value of the y axis when it was first crossed.

Looking at the graph, the line first intercepted the y axis at -5 which means that this was the shop's net worth when it was opened by Rico.

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Answer:

-3/5

Step-by-step explanation:

Just ask.

Hope this helps! :)

Answer:

➟ Two triangles are similar then ratio of their corresponding sides are equal.

(Option 3 is correct)

★ Criteria for similarity of two triangles

i.) Their corresponding angles are equal.

ii.) Their corresponding sides are proportional.

∆ABC ~ ∆DEF only if

∠A = ∠D

∠B = ∠E

∠C = ∠F

and

AB/DE

BC/EF

CA/FD

[ Some theorems ]

AAA - similarity

AA - similarity

SSS - similarity

SAS - similarity

Step-by-step explanation:

Answer:

D 5 5 it has to be the answer

Answer:

49 round beds

Step-by-step explanation:

60 beds in total= 11 not round beds +?

-11 not round beds=--11 not round beds=?

49 round beds=49 round beds

That's the best way I could explain it.

Answer:

1/12

Step-by-step explanation:

1.00065528... Is the correct answer.

Answer:

= − 11

Step-by-step explanation:

Answer:

[tex]\mathsf{\: \frac{24}{35} }[/tex]

Step-by-step explanation:

Given the addition of two unlike fractions, [tex]\mathsf{\frac{2}{5} \: +\:\frac{2}{7} }[/tex] :

We could only add those two fractions if they have the same denominator.

In order to do so, we must determine their least common denominator (LCD), which happens to be 35.  

Next, perform the following mathematical operations:

[tex](\mathsf{\frac{2}{5} \:\times\frac{7}{7}}) + (\mathsf{\frac{2}{7} \:\times\frac{5}{5}})[/tex]  =  [tex]\mathsf{\frac{14}{35} \:+ \:\frac{10}{35}}[/tex]  =  [tex]\mathsf{\: \frac{24}{35} }[/tex]

Therefore, the correct answer is Option 3:  [tex]\mathsf{\: \frac{24}{35} }[/tex].

Answer:

Answer

.sudor I think its B???!!!

[tex]8:16\implies \cfrac{8}{16}\implies \cfrac{1}{2}\implies 1:2 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{16}{31}\qquad \bigotimes~\hfill \cfrac{1}{3}\qquad \bigotimes~\hfill \cfrac{1}{2}\qquad \textit{\large \checkmark}~\hfill \cfrac{12}{24}\implies \cfrac{1}{2}\qquad \textit{\large \checkmark}[/tex]

Answer:

1/2. and 12/24

they are both halves just as the ratio is half of the given number

Answer: x(.25)+(4+x(.25))=y

Step-by-step explanation:

1. set up the equation-

Ali has an unknown amount of quarters so make that x.

We know quarters are 25 cents so .25 if he has one quarter you put that one quarter into x, 2 into x and so on

Tom has 4 more, since he has 4 more it is 4+x and one again times .25

2. that is it

Answer:

18 pocket folders

Step-by-step explanation:

divide 7.02 by .39

Answer: Spencer is 24.75 inches tall

Step-by-step explanation: Just subtract 6 from 30.75 to find the answer

Answer:

The percentage increase in Spencer's height is 125%

Step-by-step explanation:

Solution:

Initial height of spencer = 28 inches  

Increased height of spencer = 5 feet 3 inches  

= 5 feet + 3 inches  

(5 feet = 5 ×12=60 inches)

= 60  + 3

Answer:

I can recommend you searching onlime

Answer:

B

Step-by-step explanation:

Use the amortisation formula:

A = P (r(1+r)^n)/((1+r)^n - 1)

swap in your numbers

p = 969.16

A = 20

n = 0.1524/12

20 = 969.16((0.1524/12) (1+(0.1524/12))^n) / ((1+(0.1524/12))^n - 1)

Then solve for n

n = 72 months

n = 6 years

Answer:

d

Step-by-step explanation

Step-by-step explanation:It starts at 0 and goes in the negative

Answer:

  x = 33.49°

Step-by-step explanation:

The relevant trig ratio is the sine:

  Sin = Opposite/Hypotenuse

  siin(x) = 32/58

The angle measure is found using the inverse function:

  x = arcsin(32/58) ≈ 33.49°

Answer:

i got 32 is it 32 cause i put 33 cause it was closer

Step-by-step explanation:

Answer:

2.2360679774998

Step-by-step explanation:

Answer:

A company produces electric insulators. The strength of the insulators is important since a broken insulator may cause a short circuit. Unfortunately, the strength varies significantly due to the material. Because of the expense, only a limited number of insulators could be tested. The engineers sampled 25 insulators (From a production run of 200), and conducted a destructive test to determine the force that was required to break the insulators. The mean value of this force was 1723 lbf with a sample standard deviation of 90 lbf. You may approximate the population standard deviation with the sample standard deviation for the following questions. a. Determine if the population is large enough or if a finite population correction (FPC) factor is needed. If so, what is the FPC factor? b. For 95% confidence, determine the margin of error (+ lbf) c. For these conditions, estimate the range of the probable population mean. Provide lower and upper values. For 95% confidence, determine the margin of error ( Assume the same mean and sample standard deviation. What is one advantage and one disadvantage of using 50 insulators instead of 25 insulators? d. lbf) if 50 insulators were tested.

Step-by-step explanation:

Answer:

y=2x-2

You use rise/run in this problem