The value of the definite integral / 212x – sin(x) dx / 122x-sin(x) is

The Value Of The Definite Integral / 212x Sin(x) Dx / 122x-sin(x) Is

Answers

Answer 1

Hi there!

[tex]\boxed{= 70 + cos(12) - cos(2) \approx 71.26}[/tex]

[tex]\int\limits^{12}_{2} {x-sin(x)} \, dx[/tex]

We can evaluate using the power rule and trig rules:

[tex]\int x^n = \frac{x^{n+1}}{n+1}[/tex]

[tex]\int x = \frac{1}{2}x^{2}[/tex]

[tex]\int -sin(x) = cos(x)[/tex]

Therefore:

[tex]\int\limits^{12}_{2} {x-sin(x)} \, dx = [\frac{1}{2}x^{2}+cos(x)]_{2}^{12}[/tex]

Evaluate:

[tex](\frac{1}{2}(12^{2})+cos(12)) - (\frac{1}{2}(2^2)+cos(2))\\= (72 + cos(12)) - (2 + cos(2))\\\\= 70 + cos(12) - cos(2) \approx 71.26[/tex]


Related Questions

In a survey of 3417 adults aged 57 through 85 years, it was found that 80.3% of them used at least one prescription medication. C
a. How many of the 3417 subjects used at least one prescription medication?

Answers

Answer:

2743.851 adults aged 57 through 85 years used at least one prescription medication.

Step-by-step explanation:

I did this on a calculator so yeah...

Carl had been saving his money for weeks to buy the shoes that he had seen in the store window. The price tag said $90.00. Carl had saved $75.00.

would Carl have enough money if the shoes went on sale for 20% off?
yes or no?!​

Answers

Answer:

Yes

Step-by-step explanation:

20% of 90= 72

then you want to subtract the amount of money you have minus how much it is 75 - 72 = 3

since the answer is a positive number that means yes.

Which are the coordinates of P of the image (T(-3,4) • Ds)(ADEF) given D(-7, 6), E(-8, 3), and F(2, 1)?
A. (4,8)
B. (-1,2)
C. (5,8)
D. (8,4)​

Answers

wouldn't it be B?~~~~~~~~~~~~~~~~~~~~~~~

Jane cut 7 yards of fabric from a 20-yard piece. How much was left
over?

Answers

Answer:

13 yards

Step-by-step explanation:

find the GCF 40,50,60

Answers

Answer:

10

Step-by-step explanation:

Solve the linear equations by graphing.

Answers

Can you give a more full clear pic of the other  graph

How many pairs can you make when picking a month of the year and flipping a coin?

12


14


18


24

Answers

Answer:

24 I guess

Step-by-step explanation:

There are 2 sides in a coin so 12 x 2 = 24

18 Ik cs I did the work my guy

can someone help me with this simple 8th grade worksheet

Answers

it’s simple. go to desmos and put in both equations. wherever the lines intercept put those two points in (x,y)

Line A has a slope of -4/3. Line B is perpendicular to Line A. What is the slope of Line B?

Answers

Answer:

The answer is 3/4

Step-by-step explanation:

If two lines in perpendicular, then the slope has a relation as slope1 * slope2 = -1. Then if line 1 has slope -4/3 then -4/3 * x = -1, then x = 3/4 which is the slope for the second line.

In the coordinate plane, what is the distance between (-2, 5) and (8, 5) ?

Answers

The answer would be 10, you need to use the distance formula.

Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. Illustrate by graphing both the curve and the tangent line on a common screen. x=t, y=e^-t, z=2t-t^2; (0, 1, 0)

Answers

Answer:

[tex]x = t[/tex]

[tex]y = 1 - t[/tex]

[tex]z = 2t[/tex]

Step-by-step explanation:

Given

[tex]x=t[/tex]

[tex]y=e^{-t}[/tex]

[tex]z=2t-t^2[/tex]

(0, 1, 0)

The vector equation is given as:

[tex]r(t) = (x,y,z)[/tex]

Substitute values for x, y and z

[tex]r(t) = (t,\ e^{-t},\ 2t - t^2)[/tex]

Differentiate:

[tex]r'(t) = (1,\ -e^{-t},\ 2 - 2t)[/tex]

The parametric value that corresponds to (0, 1, 0) is:

[tex]t = 0[/tex]

Substitute 0 for t in r'(t)

[tex]r'(t) = (1,\ -e^{-t},\ 2 - 2t)[/tex]

[tex]r'(0) = (1,\ -e^{-0},\ 2 - 2*0)[/tex]

[tex]r'(0) = (1,\ -1,\ 2 - 0)[/tex]

[tex]r'(0) = (1,\ -1,\ 2)[/tex]

The tangent line passes through (0, 1, 0) and the tangent line is parallel to r'(0)

It should be noted that:

The equation of a line through position vector a and parallel to vector v is given as:

[tex]r(t) = a + tv[/tex]

Such that:

[tex]a = (0,1,0)[/tex] and [tex]v = r'(0) = (1,-1,2)[/tex]

The equation becomes:

[tex]r(t) = (0,1,0) + t(1,-1,2)[/tex]

[tex]r(t) = (0,1,0) + (t,-t,2t)[/tex]

[tex]r(t) = (0+t,1-t,0+2t)[/tex]

[tex]r(t) = (t,1-t,2t)[/tex]

By comparison:

[tex]r(t) = (x,y,z)[/tex] and [tex]r(t) = (t,1-t,2t)[/tex]

The parametric equations for the tangent line are:

[tex]x = t[/tex]

[tex]y = 1 - t[/tex]

[tex]z = 2t[/tex]

2. What is the perimeter of a rectangle
which is 12 metres long and 9
metres wide?
(a) 21m
(b) 42m
(c) 54m
(d) 84m
(e) 108m

Answers

Answer:

(b) 42m

Step-by-step explanation:

Perimeter of a rectangle ⇒ P=2(l+w)

Which means P=2·(12+9)

Which equals 42

pls help................................................................................................................................

Answers

Answer:

Check pdf

Step-by-step explanation:

How do i solve for x if (x+1)/(x+1)= 1/2​?

Answers

Answer:

x= -1

Step-by-step explanation:

Given data

We have the expression as

(x+1)/(x+1)= 1/2​

let us first cross multiply

2(x+1)=(x+1)

2x+2=x+1

collect like terms

2x-x=1-2

x= -1

Hence the value of x=-1

What is the value of (f-g)(7)?
f(x)=2+x;g(x)=x^2+5
(f-g)(7)=[1]​

Answers

Answer:

Alright so on this type of problem you just perform the operation they ask for, which in this case is subtraction.  

Your first step will be to set up the problem:

f(x) - g(x)

Next you will substitute in your values:

(2x + 1) - (x2 - 7)

The easiest way to do the subtraction problems is to distribute your negative into your second set of parenthesis, so your expression would become:

2x + 1 - x2 + 7

Then combine your like terms:

2x - x2 + 8

Lastly put your expression in standard form (highest exponent to lowest)

-x2 + 2x + 8

Hope this helped!

Step-by-step explanation:

Mr. Salazar cut his son’s birthday cake into 8 equal pieces. Mr. Salazar, Mrs.
Salazar, and the birthday boy each ate 1 piece of cake. What fraction of the cake
was left?
PLSSSS HELP ME WILL GIVE BRAINLESSLY

Answers

Answer:

5/8

Step-by-step explanation:

Pleaseeeeee i will mark you brilll

Answers

Answer:

58

Step-by-step explanation:

4 × 5 to the power of 2 + 3 × 5 + 3

Answer:

Option B

118

Step-by-step explanation:

[tex]4{x}^{2} + 3x + 3[/tex]

By putting the value of x = 5

[tex] = 4 {(5)}^{2} + 3 \times 5 + 3[/tex]

= 4 × 25 + 15 + 3

= 100 + 18

= 118 (Ans)

In ΔTUV, the measure of ∠V=90°, the measure of ∠T=54°, and VT = 40 feet. Find the length of UV to the nearest tenth of a foot.

Answers

tan T = UV/VT
UV = VT tan T = 40 tan 54
UV = 55.055 ft —> 55.1ft

Answer:

55.1

Step-by-step explanation:

delta math

Can some one help me plss sssssssss

Answers

Im not sure but i think its 24 But I am probably wrong

Manuel has brought 24 pounds of dog food. He feeds his dog 3/4 pounds for each meal. For how many meals will the food last ?

Answers

Answer:

32

Step-by-step explanation:

24/(3/4)

Answer:

32 meals

Step-by-step explanation:

24 / (3/4)

Multiply by reciprocal:

24 x (4/3) = 32

A car can travel 15 miles on 8 gallons of gas. How far can the car travel on 22 g allons of gas?​

Answers

Answer:41.25

Step-by-step explanation:

22/8 equals 2.75. Multiply the distance the car can travel by 2.75 to find how many miles it can run on with 22 gallons of gas. The answer will be 41.25 mi. Hope this helps :)

The slope of the line that passes through the point (2,4) and (3,8) is​

Answers

Hi! Your answer is m = 4 or slope is 4.

Make sure to read an explanation for a better and clear understanding to your problem.

Any questions about my answer and explanation can be asked through comments! :)

Step-by-step explanation:

To find a slope of a line with given two coordinate points, we can do by using rise over run or slope formula which is:

[tex]\large\boxed{m=\frac{y_2-y_1}{x_2-x_1}}[/tex]

The boxed formula is the slope formula. The changes of y over the changes of x. This can be called "rate of change".

From (2,4) and (3,8). We substitute the given coordinate points in the formula.

[tex]\huge{m=\frac{8-4}{3-2}}\\\huge{m=\frac{4}{1}}\\\huge{m=4}[/tex]

Hence, the slope is 4.

Additional Note

m-term comes from y = mx+b where m is defined as slope in slope-intercept form. Therefore, m = slope.

Hope this helps!

A. 78
B. 87.5
C. 100

please answer will give brainliest!!!!!!!

Answers

Answer: 100

Mode is simply the number which appears most often.

100 is the only number that appears more than once

100 because its repeated 2 times and its only one have more than 1 time

A new microwave costs $126.99 at Walmart. How much sales tax would
you pay if the tax rate is 7%?*
$135.88
$8.89
$135.87
$8.88

Answers

Answer:

135.87

Step-by-step explanation:

7% of 126.99 is 8.8893

add 126.99 to 8.8893

you get ~135.87

Answer:

8.89

Step-by-step explanation:

Take the cost of the item times the tax rate to find the amount of tax

126.99 * 7%

Change to decimal form

126.99 * .07

8.8893

Round to the nearest cent

8.89

Imagine pls helpppppppp!!!!!!

Answers

Answer:

169,000

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is exponential growth of form

y=ar^x where y is final amount, a=initial amount, r=common ratio or rate and x=time

y=130000(1.03^10)

y=174709

plz help find the volume of the cylinder plz

Answers

Answer:

V = 12π in³

General Formulas and Concepts:

Symbols

π (pi) ≈ 3.14

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Geometry

Volume of a Cylinder Formula: [tex]\displaystyle V = \pi r^2h[/tex]

r is radiush is height

Step-by-step explanation:

Step 1: Define

Radius r = 2 in

Height h = 3 in

Step 2: Find Volume

Substitute in variables [Volume of a Cylinder Formula]:                                V = π(2 in)²(3 in)[Volume] Evaluate exponents:                                                                         V = π(4 in²)(3 in)[Volume] Multiply:                                                                                             V = π(12 in³)[Volume] Multiply:                                                                                             V = 12π in³

2. If your short-term disability insurance rate is 0.5%, what do you pay if your
paycheque is $300.00?

Answers

Answer:

300 x .005= $1.50

...............

ANSWER FAST PLEASE!!!!!!!!
110o
112o
142o
144o

Answers

Answer:

142

Step-by-step explanation:

142 I believe on study island

A certain type of chocolate bar is sold as follows.


Single chocolate bar: 82p, or buy one get one half price

Packs of 5: £3, offer: 2 packs for £5.75

Packs of 10: £6 each


What's the cheapest way of buying exactly 38 chocolate bars without any extra?

Find the amount of each type of pack or single bar you need and the total cost of buying 38 packs.

Answers

Answer:

Step-by-step explanation:

You would never buy a 10-pack, because two 5-packs cost less.

To buy 3 bars you need a single bar and a pair of single bars for £0.82 + £0.82+ £0.41 = £2.05

To buy 30 bars you need 3 pairs of 5-bar packs = 3×£5.75 =  £17.25

To buy the remaining 5 bars you need one 5-bar pack = £3

cost = £2.05 + £17.25 + £3 = £22.30

1 + 1 + 23 + 77 +109 + 4568+ 32?

Answers

Answer:

4811?

Step-by-step explanation:

sorry if incorrect

The answers is 4,811
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