The force in Newtons acting on a particle located x meters from the origin is given by the function F(x)=12x2+7. What is the work done in Joules when moving the particle from x=2 to x=5?

Answers

Answer 1

[tex]W = \displaystyle \int^{5}_{2} F(x) ~ dx\\\\\\= \displaystyle \int^{5}_{2} \left(12x^2 +7\right) ~dx\\\\\\= 12\displaystyle \int^{5}_{2} x^2 ~dx + \displaystyle \int^{5}_{2} 7~ dx\\\\\\=12 \left[\dfrac{x^3}3 \right]^{5}_{2} + 7\left[x\right]^{5}_{2}\\\\\\=4(5^3-2^3) + 7(5-2) = 468 + 21 = 489~ J[/tex]


Related Questions

If f (x) = 2x^3 - 5x +2, then what is the remainder when f (x) is divided by x - 4?

Answers

hmm let's do that with synthetic division, Check the picture below.

an elevator descends 26 feet in 6s

Answers

Answer:

Starting position of mine shaft is = 10m above ground

but,

it moves in opposite direction so it travels the distance (-350 m ) below the ground.

Total distance covered by mine shaft = 10m - (-350m)

= 10 + 350

= 360m

Now, taken to cover a distance of 6m by it = 1 minute

Time taken to cover a distance of 1m by it = \frac{1}{6\ }\min

Therefore, tie taken to a cover a distance of 360m = \frac{1}{6}\times\ 360\ =\ 60\ \min\ \

60 minutes = 1 hour

thus, in one hour the mine shraft reaches = 350 below the ground

Step-by-step explanation:

Avery read 1.75 pages in to of an hour. At what rate, in pages per hour, did she read?
On the double number line below, fill in the given values, then use multiplication t
find the missing value. Enter your answers as fractions, whole numbers, or decimals.
pages
o
O
hours
Enter your final answer as a whole number or decimal.

Answers

Answer:

10.5? sorry if it doesnt work

Step-by-step explanation:

с
6
D
15
8
B
?
А
1) Find the missing side length.
es
A) 14
B) 16
18
D) 20
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Answers

Answer:

The answer would be 19

Step-by-step explanation:

Using pythagoras theorem

15+6= 21

a^2+b^2= c^2

In this scenario,

c^2-a^2= b^2

Meaning it would be 21^2+8^2

= 377

Square root of 377 would be 19.416

?= 19.416

The missing side length of the right angle triangle is 20

How to solve missing sides using Pythagoras theorem

Pythagoras theorem States that the square of the longest side of a triangle is equal to the sum of the square of the opposite side and no square of the adjacent side.

The diagram is a right angle triangle with sides AB, BC and CA.

The longest side is BC

BC² = AB² + CA²

(15 + 6)² = x² + 8²

21² = x² + 8²

21² - 8² = x²

441 - 64 = x²

377 = x²

find the square root of both sides

x = √377

x = 19.41648783894759891856148511263886343

Approximately to the nearest whole number

= 20

Learn more about Pythagoras theorem:

https://brainly.com/question/654982

solve pls brainliest

Answers

1: 64 : -8 x -8 2: -27 : -3 x -3 x -3
I hope this is correct

Answer:

-8^2=1/64 and -3^3=1/27

Step-by-step explanation:

I appreciated if you mark me as brainliest

cho a,b,c là các số nguyên. Chứng minh rằng nếu a mũ 3 + b mũ 3 + c mũ 3 chia hết cho 9 thì một trong các số a , b ,c chia hết cho 3

Answers

Answer:

let a, b, c be integers. Prove that if a to the power 3 + b to the power 3 + c to the power 3 is divisible by 9, then one of the numbers a , b , c is divisible by 3

Step-by-step explanation:

90 people apply for job, 10 have no sales or publishing experience, 65 have sales, 58 have publishing, how many have both?

Answers

                     No sales | Sales

No Publishing |      10      __       __

Publishing       |      __       x        58

                              __      65       90

Fill in spots

                    No sales | Sales

No Publishing |      10      22       32

Publishing       |      15      43       58

                              25     65       90

43 applicants have both sales and publishing experience

You weigh a group of eight kittens for 6 days and get the following data (in lb.):


1.6, 1.4, 1.1, 1.8, 1.3, 1.8, 1.2, 1.4


Select the correct average weight. Round your answer to one decimal place.



1.8 lb.
1.8 lb.

1.1 lb.
1.1 lb.

1.5 lb.
1.5 lb.

1.4 lb.

Answers

Answer:

1.5

Step-by-step explanation:

Does (7,5) make the inequality 16x + 16y 2 12 true?

Answers

Yep because 16y and 16y makes the inequality

Hello I need help help help help

Answers

X = 28. Hope that helps

x = 16

7 times 2 = 14

8 times 2 = 16

Hope that helped:)

-----------------------------

Answers

Answer:

thanks for tha points

Step-by-step explanation:

What are the example of discount? ​

Answers

Answer:

The definition of discount is reduced prices or something being sold at a price lower than that item is normally sold for. An example of something described as discount is a purse sold for 50 percent off its normal price or a store that focuses on selling designer items at below-market prices.

Answer:

the marked price of book is 2000.and vat is 13 percent.selling price is 1500then find discount

A woman wants to get to two destinations, A and B. From home to A there are 5 possible routes. From A to B
there are 5 possible routes. How many possible routes are there from home to B, if all of them go through A first?

Answers

From home to A has 5 routes. Ex: Route A,B,C,D,E.

A to B has 5 routes. Ex: Route F,G,H,I,J

The shorter way is 5x5 = 25

The longer way is A.F , A.G, A.H, A.I, A.J. + B.F, B.G, B.H, B.I, B.J and continue on...

Which of the diagrams shows an exponential graph?

Answers

Answer:

Diagram "C"

Step-by-step explanation:

The curve eventually shows that it is an exponentially graph

*WILL GIVE BRAINLIEST FOR BEST ANSWER*
Subtract. Write your answer in scientific notation.
(5.6×106)–(1.1×106)

Answers

Answer:

447

Step-by-step explanation:

Pre college need help

Answers

Answer:

No

Step-by-step explanation:

Substituting into both equations proves that the second equation does not work for the ordered pair provided

Answer:

No

Step-by-step explanation:

2+(-5)=3

4(2)+3(-5)=-7

NASA launches a rocket at t = 0 seconds. Its height, in meters above sea level, as a function of time is
given by h(t) = – 4.9t2 + 235t + 269.
Assuming that the rocket will splash down into the ocean, at what time does splashdown occur?

Answers

if h is m above the ocean and your trying to find when the rocket reaches that ocean… as the function gives the height above the ocean at a given time, when the height equals 0 the rocket will have reached the ocean so solve for t when h=0. working out in the photo. i got t=48.88seconds

Find perimeter of the house

Answers

Answer:

  50x +11

Step-by-step explanation:

The perimeter is the sum of the lengths of the 5 sides. Sides marked with the same symbol have the same length. We can use multiplication to simplify the repeated addition.

  P= (14x +13) +2(12x +3) +2(6x -4)

  P = (14 +2·12 +2·6)x +(13 +2·3 +2(-4))

  P = 50x +11

The perimeter of the house is 50x +11.

HELP PLS ASAPPPPPPP

Answers

a) x^2 + 6x

b) 5x^2 - x

c) 18x^2 + 15x

d) 8x^2 - 12xy

Answer:

2x + x² + 3x + 5x² - 10x      (combine like terms)

6x² + 5x -10x

6x² - 5x

which is the same as

-5x +6x²

Your answer is C

NOT BY MEE FOUND THIS ON BRAINLY ALL YOU GOT TO DO IS LOOK IT UP IN BRANLY AND YOU WILL FIND IT

Step-by-step explanation:

What is the answer to 4/5w = 8

Answers

Answer:

w = 10

Step-by-step explanation:

[tex]\frac{4}{5}w=8~(Given)\\\\\frac{5}{4}(\frac{4}{5}w)=\frac{5}{4}(8)~(Multiply~5/4~on~both~sides)\\\\w=10~(Simplify)[/tex]

Answer:7 1/5

Step-by-step explanation:

-4/5 on each side

'and you get w= 7 1/5

Solve for N is this equation.

Answers

Answer:

[tex]n + (13 - 6) = 124[/tex]

[tex]n+13-6=124[/tex]

[tex]n+7=124[/tex]

[tex]n+7-7=124-7[/tex]

[tex]n=117[/tex]

3x3 + 4x2 - 8x + 18
What is the constant term?


Answers

Answer:

18

Step-by-step explanation:

18 is the constant term since it contains no variable.

Q2). Let A={1,2,3,4} B={a,b,c} which of the following are relation from B to A?
(i) {(c,a) (c,b) (c,1)}
(ii) {(c,4) (b,3) (c.2)}

Answers

Step-by-step explanation:

Given sets are :

A = {1,2,3,4} and B = {a,b,c}

(i)

simplify 1/3 : 2.5 : 3 3/4​

Answers

Answer:

i dont know

Step-by-step explanation:

Answer:

  4 : 30 : 45

Step-by-step explanation:

The least common denominator of the fractions 1/3, 1/2, and 1/4 is 12. Multiplying the ratio by 12 gives ...

  (1/3) : (2.5) : (3 3/4) = (12)(1/3) : (12)(2.5) : (12)(3 3/4)

  = 4 : 30 : 45

What is the 5th row of Pascal's triangle?

Answers

Answer:

Row 5 115 161051

Step-by-step explanation:

mai owes the bank 60. she gets 85 for her birthday and deposits it into her account how much dose she now have in the bank

Answers

She still has 20$ available in the bank if there are no additional fees :)

Answer:

if she pays the bank back it would be 25 but if she just deposited 85 then she has 85 in the bank

Step-by-step explanation:

Triangle A is a scaled version of triangle B. The dimensions of triangle A are twice the dimensions of triangle B. The area of triangle B is 40.5 sq cm. What is the area of triangle A?

Answers

Step-by-step explanation:

the lengths of any line (side, height,...) in A is twice as long as in B.

now, the area of a triangle is

baseline × height / 2

so, two lines are multiplied. that means the factor 2 gets multiplied in 2 times. and that means the area increases by the factor 2×2 = 4

therefore, the area of A is

40.5 × 4 = 162 cm²

The following dataset represents the number of minutes a student listens to music in a week for 50 students, sorted and
arranged in rows of 5. What is the 80th percentile of the data?

Answers

Using the percentile relation, the 80th percentile of the data is 77.

The 80th percentile of a data can be defined as :

80th percentile = 80% × (n+1)th term n = sample size = 50

Hence, we have ;

80th percentile = 0.8 × (50 + 1)th term

80th percentile = 40.8 term = 41th term

Since, the days is sorted, the 80th percentile is the value at index 41.

Hence, the 80th percentile of the data is 77.

Learn more : https://brainly.com/question/25670812

All 5-digit zip codes in the United States are assigned by region. In Texas, all zip codes begin
with the number 7 while the second digit is restricted to numbers from 5 to 9. There is no
restriction on the remaining digits. How many zip code combinations are possible in Texas?

4,000
5, 000
6, 000
7,000

Answers

Answer:

5,000

Step-by-step explanation:

[tex]\frac{1}{7}*\frac{5}{5-9} \frac{10}{0-9} *\frac{10}{0-9} * \frac{10}{0-9}[/tex]

please help me calculation completing square?
x²+2x-24=0?​

Answers

Answer:

x = 4, -6

Step-by-step explanation:

x = 4, -6

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