Mathematics College

Function limits:
Exercise approximation method

Answers

Answer 1

9514 1404 393

Answer:

A. 2

B. 6

Step-by-step explanation:

The attachment shows the table of values for exercises A and B.

A spreadsheet is also a useful tool for repeated function evaluation. Most spreadsheets carry about 16 significant digits, so can give good approximations down to very small differences from the limit value.

Additional comment

Here, the function simplifies to ...

f(x) = (2x)(x -1)/(x -1) = 2x

The simplified function can be evaluated directly at the limit value of x, with no approximation needed.

Related Questions

Susie works as a mail clerk. She earns 8.125 and hour and worked 35.525 hours last week. What is her straight time pay

Answers

Answer:

Total pay=$288.64

Step-by-step explanation:

Giving the following information:

Hourly rate= $8.125

Number of hours worked= 35.525

To calculate the total pay of the week, we need to use the following formula:

Total pay= hourly rate * number of hours worked

Total pay= 8.125*35.525

Total pay=$288.64

A cylinder has a height of 12 inches and a radius of 1.5 inches. What is its voulme? Round your answer to the nearest tenth. Use 3.14 for TT.

Answers

Answer:

It's volume is of 84.78 cubic inches.

Step-by-step explanation:

Volume of a cylinder:

The volume of a cylinder with radius r and height h is given by:

[tex]V = \pi r^2h[/tex]

A cylinder has a height of 12 inches and a radius of 1.5 inches.

This means that [tex]h = 12, r = 1.5[/tex]

What is its volume?

[tex]V = \pi r^2h = 3.14(1.5)^2(12) = 84.78[/tex]

It's volume is of 84.78 cubic inches.

Solve the equation x - 15 = 42.

X=______

Answers

Answer:

[tex]x - 15 = 42 \\ x = 57[/tex]

Answer:

x = 57

Step-by-step explanation:

x - 15 = 42.

Add 15 to each side

x - 15+15 = 42+15

x = 57

#6
A. 1/25
B. 2/45
C.1/5
D. 1/18

Answers

The answer to this question is Probably B

Choose the graphs that indicate equations with no solution

Answers

Answer:

A and E

Step-by-step explanation:

Given

Graphs A to E

Required

Which do not have solutions

When there are no point of intersection between lines and/or curves of a graph, then such graph has no solution.

Using the above description as a yard stick, the first (A) and the last (E) graph have no solution.

why is the expiry date necessary

Answers

Are you serious right now?

Answer:

Expiration dates are especially important for medications because they offer the only indication about whether the product is still safe to use. Food items, on the other hand, often look or smell bad when they have passed their "best-buy" dates.

Step-by-step explanation:

Find the area of the figure shown

Area = ------- square yards

Answers

Answer:

Step-by-step explanation:

area = l×w×h

area= l×h

2l×2h

According to ADA guidelines, at most, an incline can be 8.5°. Is the following incline acceptable? If yes, prove it. If not, explain why and change one dimension in the design so that it would be.

Answers

Answer:

Let the angle is x.

We have:

tan x = 15/90tan x = 1/6x = arctan (1/6)x ≈ 9.5°

Since 9.5° > 8.5° it is not acceptable.

If the angle is 8.5° and the height is x, then we have:

tan 8.5° = x / 90x = 90 tan 8.5°x = 13.45 ft

The height is at most 13.45 ft

Find the circumference of the circle shown below if the diameter equals 20 inches. Use 3.14 for π

A)62.8
B)31.4
C)None of these answers
D)1,256
E)314

Answers

Answer:

62.8 inches

Step-by-step explanation:

c = πd

c = 3.14 * 20

c = 62.8 inches

If my house is 7 miles away from the store. And the average human walks at 5 mph.

Why has it taken my dad 18 years to get milk?

Answers

Answer:

My best guess is because of so many different factors whether they're envirornmental or himself or anything is possible.

Please mark as Brainliest

Hope this Helps

Because the walk is very far
Don’t mind my answer just want someone to answer mine

Choose the appropriate condition for the following pairs of triangles to be congruent.

Answers

Answer:

1. ASA, 2. SSS, 3. ASA

Step-by-step explanation:

1. It is given to us that these two triangles share two of the same angles. We can also see that they share a side together. 2 angles and a side means ASA.

2. It is given to us that these two triangles share two of the same side lengths. We can also see that they share a side together. 2 sides gives us SSS.

3. It is given to us that these two triangles share 1 of the same angles and 1 of the same side lengths. We can also see that they share a vertical angle, which by definition means they have the same measurement. 2 angles and a side gives us ASA.

someone please help me answer this

Answers

Answer:

77.91 units²

77.91 square units

Step-by-step explanation:

the area of a circle is A=pi*r²

since we only need a certain fraction, we will multiply it with 62/360

62° is the given angle. 360° would be the full circle

A = pi * 12² * 62/360

note that the answer is in square units, bc in "r²" the units themselves get squared, even tough we don't know if its inch or kilometers, its definitely squared

The numbers 1-11 are placed in a bag. What is the probability of drawing a prime number?

Answers

Answer:

1 3 5 7 11 are all prime numbers and out of 11 numbers, 5 are prime so 5/11

Step-by-step explanation:

Give me brainiest answer please! :D

2, 3, 5, 7, and 11 are prime numbers. So out of 11 numbers five are prime numbers. You have 5/11 probability of drawing a prime number. I hope this helped, Goodluck! :)

Did I answer this correctly? Drag each tile to the correct box. Not all tiles will be used. Arrange the steps to solve this system of linear equations in the correct sequence.

Put the following in order:
A. Subtract 3x + 3y = -6 (obtained in step 1) from 2x – 3y = -9 (given) to solve for x.

B) Substitute the value of x in the first equation (x + y = -2) to get y = 1.

C) The solution for the system of equations is (-3, 1).

D) x = -15

E) The solution for the system of equations is (-15, 13).

F) Add 3x + 3y = -6 (obtained in step 1) to 2x – 3y = -9 (given), and solve for x.

G) x = -3

H) Substitute the value of x in the first equation (x + y = -2) to get y = 13.

J) Multiply the first equation by 3: 3(x + y) = 3(-2) 3x + 3y = -6.

Remember that only 5 can be used.

Answers

9514 1404 393

Answer:

your 3rd step should be x = -3

Step-by-step explanation:

When you combine the equations in step 2, you get ...

5x = -15

Dividing by 5 gives the solution for x:

x = -3

This is what your Step 3 should show. This is the value that is consistent with the remaining steps.

Answer:9514 1404 393

Step-by-step explanation:

What are the coordinates of the vertex of the graph of y = x2 + 8x + 1?

Answers

Answer:

y= x2 + 8x - 1 is y=(x+4) 2-17

Step-by-step explanation:

First find - b/2 = - 4, so -4 will be added to x inside the parenthesis.

Next , find c - b2 to find the value you added at the end

y= (x- b2) 2 + c - b2

y= (x+4) 2 - 17

Need assistance in processing this equation?

Answers

Where’s the equation??

What is the value of y?

Answers

Answer:

The answer is C (46)

Step-by-step explanation:

Since the measurement of the triangle is 180 then you must subtract 180 by 88 to create 92 and divided that 92 by 2 to get 46.

Kyle volunteered 5.5 hours at the library this week. He needs to volunteer a total of 12 hours. Which equation can be used to find the number of hours, h, Kyle still needs to volunteer this week?

Answers

12-5.5=h hope it helps

jessica has at least 20 pairs of shoes in her closet

Answers

What’s the question

William has three $10 bills and four $1 bills in his wallet. What is the probability that he will reach into his wallet twice and pull out a $10 bill each time? Assume he does not replace the first bill when he pulls out the second one.

Answers

Answer:

Step-by-step explanation can’t because he might pull out more than 10 dollars or less than 10 dollars.

(Geometry/shapes) Hi, can any expert guide me in solving this problem? or someone who knows this?
Trapezoid and Kites. (picture below)

Answers

Step-by-step explanation:

angles 111 and 3 are the same. in a trapezoid bottom base angles are the same and the top base angles are the same. so in order to find angle 2 you must subtract 111 from 180 because the top angles are supplementary to the bottom

180 - 111 = 69

Answer:

The answer will be 69

This is because angle 3 would also be 111

Angles in a quadrilateral add up to 360

So, 360-(111+111)

=138

there are two angles left, angle 1 ND 2, THEY ARE THE SAME VALUE. So DIVIDE 138 by 2, and you would get your answer 69 degrees.

Hope this helps!!

|-2 + 5 | - |3 - 12| - 13=

Answers

Answer:

-19

3 - 9 - 13 = -19

Step-by-step explanation:

NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.Don't guess please.

Simplify: [3(2a)^3/2]^2

A: 24a^3

B: 34^4√2a^9

C: 216a^3

D: 72a^3

Answers

Answer:

the answer is A........

The correct answer would be A. 24 a^3

if f(x)=3x-2 and g(x)=2x+1, find (f-g)(x)

A. x-3
B. 5x-3
C. 5x-1
D. 3-x

Answers

Answer:

A. x-3

Step-by-step explanation:

f(x)=3x-2 and g(x)=2x+1

(f-g)(x) = 3x-2 - (2x+1)

Distribute the minus sign

(f-g)(x) = 3x-2 - 2x-1

Combine like terms

= x -3

the sum of three numbers is 59. the second number is less than the first. the third number is 2 times the first. what are the numbers?

Answers

There should be multiple answers here.

15 + 14 + 30 = 59

Or

16 + 11 + 32 = 59

Or

17 + 8 + 34 = 59

I’m sure there’s more but these are just the few I did.

Sangay runs 2/3 hours each day. how many hours does he run in two weeks?

Answers

Answer:

Step-by-step explanation:

2/3 x 14 = 28/3 = 9 1/3 hours in two weeks

She got the given variable

Answers

Answer:

125 ov?/70*5

Step-by-step explanation:

Answer:

Step-by-step explanation:

70+5f=125. [exterior angle is equal to sum of interior opposite angles]

5f=125-70

5f=55

f=11

i need help please!!!!!!

Answers

Answer:

THE ABSWER IS OPTIOM 1 AINCE ITS BEE SIMPLE AND IR CAN BE MORE IF U CAN TRY BUT U DONT NEED TK

Answer:

Step-by-step explanation:

Stephan con run 3 miles in 15.75 minutes. Keisha con run 5 miles in 22.6 minutes. Who can run faster?

Answers

Answer: Keisha can run faster than Stephan.

Step-by-step explanation:

Let's figure out how long it takes for them to run a mile.

[tex]\frac{15.75}{3} =5.25\\\frac{3}{3} = 1[/tex]

It would take Stephan 5.25 minutes to run a mile

[tex]\frac{22.6}{5} =4.52\\\\\frac{5}{5} =1[/tex]

It would take Keisha 4.52 minutes to run a mile

Since Keisha takes less time to run a mile she is faster.

Answer:

Keisha can run faster

Step-by-step explanation:

Stephan can run

3 miles in 15.75 min.

so divide 15.75 by 3 min which would give you:

5.25 mi.

Now Keisha can run

5 miles in226 min

now divide 22.6 by 5 min which would give you

4.52 min

so that means Stephan can run faster then Keisha since 4.52<5.25

Keisha can run faster, since 4.52<5.25

When factored completely, the expression 6x3 – 5x2 – 13x + 12 is
equivalent to
a. (2 – 1)(2x - 3)(3x + 4)
b. (x + 1)(2x + 3)(3x + 4)
c. (x + 1)(2x − 3)(3x – 4)
d. (x - 1)(2x + 3)(3x – 4)

Answers

Answer:

d. (x - 1)(2x + 3)(3x - 4)

Step-by-step explanation:

6x³ - 5x² - 13x + 12

6x³ + x² - 12x - 6x² - x + 12

x(6x² + x - 12) - 1(6x² + x - 12)

(x - 1)(6x² + x - 12)

(x - 1)(6x² + 9x - 8x - 12)

(x - 1)(3x(2x + 3) - 4(2x + 3))

(x - 1)(2x - 3)(3x - 4)

Answer:

( x - 1 )( 2x + 3 )( 3x - 4 )

Step-by-step explanation:

Hope this helps!

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Function limits: Exercise approximation method

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Function limits:
Exercise approximation method