Which is equivalent to 3/84 ?
VEA *
+/W
78%
1/8*
3
4x

Answer:

C

Step-by-step explanation:

volume of a cone = πr²[tex]\frac{h}{3}[/tex]

so 20² x π x [tex]\frac{35}{3}[/tex] = 14660.76572

Answer:

[tex] \rm \displaystyle \int x ^{2} \cdot {e}^{x} \: dx = {x}^{2} {e}^{x}- 2x {e}^{x} + 2 e^{x} + \rm C[/tex]

Step-by-step explanation:

we want to integrate the following integration:

[tex] \displaystyle \int {x}^{2} \cdot {e}^{x} dx[/tex]

notice that, the integrand is in the multiplication of two different function in that case we can consider integration by parts given by:

[tex] \rm \displaystyle \int u \cdot v \: dx = u \int vdx - \int u' \left( \int v dx \right)dx[/tex]

where u' can be defined by the differentiation of u

now we have to choose our u and v

which can be chosen by using the guideline:ILATE Inverse trig. , Logarithm, Algebraic expression, Trigonometry, Exponent.

since x comes first thus,

[tex] \displaystyle u = {x}^{2} \quad\text{and} \quad v = {e}^{x} [/tex]

by figuring out the defferentiation of u,we acquire:

[tex] \displaystyle u' = 2x[/tex]

altogether we get:

[tex] \rm \displaystyle \int {x}^{2} \cdot {e}^{x} \: dx = {x}^{2} \int {e}^{x} dx - \int 2x \left( \int {e}^{x} dx \right)dx[/tex]

by figuring out the parentheses integration

we get:

[tex] \rm \displaystyle \int x^2 \cdot {e}^{x} \: dx = {x}^{2} \int {e}^{x} dx - \int2x \cdot {e}^{x} dx[/tex]

now we again have integration of two different functions so let's choose our u and v once again which can be done using the guideline

[tex] \displaystyle u = 2x \quad\text{and} \quad v = {e}^{x} [/tex]

by figuring out the defferentiation of u

we acquire:

[tex] \displaystyle \: u' = 2[/tex]

altogether we get:

[tex] \rm \displaystyle \int x ^{2} \cdot {e}^{x} \: dx = {x}^{2} \int {e}^{x} dx - \left( 2x \int{e}^{x} dx- \int2 \left( \int{e}^{x}dx \right) dx \right)[/tex]

by solving parentheses we get

[tex] \rm \displaystyle \int x ^{2} \cdot {e}^{x} \: dx = {x}^{2} \int {e}^{x} dx - \left( 2x {e}^{x} - 2 e^{x} dx \right)[/tex]

by figuring out the integral we get:

[tex] \rm \displaystyle \int x ^{2} \cdot {e}^{x} \: dx = {x}^{2} {e}^{x}- \left( 2x {e}^{x} - 2 e^{x} \right)[/tex]

remove parentheses:

[tex] \rm \displaystyle \int x ^{2} \cdot {e}^{x} \: dx = {x}^{2} {e}^{x}- 2x {e}^{x} + 2 e^{x} [/tex]

at last we of course have to add constant of integration:

[tex] \rm \displaystyle \int x ^{2} \cdot {e}^{x} \: dx = {x}^{2} {e}^{x}- 2x {e}^{x} + 2 e^{x} + \rm C[/tex]

and we are done!

Answer:

[tex]\displaystyle \int {x^2e^x} \, dx = e^x(x^2 - 2x + 2) + C[/tex]

General Formulas and Concepts:

Calculus

Differentiation

Derivative Property [Multiplied Constant]:                                                           [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Basic Power Rule:

Integration

Integration by Parts:                                                                                               [tex]\displaystyle \int {u} \, dv = uv - \int {v} \, du[/tex]

Step-by-step explanation:

*Note:

The answer below me is correct, but there is a simpler method of obtaining the answer.

Step 1: Define

Identify

[tex]\displaystyle \int {x^2e^x} \, dx[/tex]

Step 2: Integrate

Use tabular integration.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Book: College Calculus 10e

Answer:

the answer is in the attachment

The 34th term of the arithmetic value progression is a₃₄ = 229

An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"

The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁

Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Given data ,

Let the sequence be represented as A

Now , the value of A is

A = {-2,5,12,19...}

And , to find the 34th term of the sequence {-2, 5, 12, 19, ...}, we first need to find the common difference between consecutive terms:

The common difference = 5 - (-2) = 7

So, to get the 34th term, we can use the formula for the nth term of an arithmetic sequence:

an = a1 + (n-1)d

where a1 is the first term, d is the common difference, and n is the term number we want to find.

Plugging in the values we have:

a₃₄ = -2 + (34-1)7

a₃₄ = -2 + 231

a₃₄ = 229

Hence , the 34th term of the sequence is 229

To learn more about arithmetic progression click :

https://brainly.com/question/1522572

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Answer:

129

Step-by-step explanation:

the sum of the interior angles of a quadrilateral is 360, so you add 71+112+48 and subtract it from 360 to get x

Answer:

The perimeter is 206.

Step-by-step explanation:

When given the area, height and side of the parallelogram, you would use the formula to find the perimeter: P=2a+2*A /h. a = side of the parallelogram, A = area, and h = height. When you plug in everything, you will get 206.

Answer:

24 + 50 = 74 cm³

Step-by-step explanation:

I split the irregular figure into two separate shapes and found the volume of each and then added the values, I am most certain the answer would be 74 cm³, I apologize if it isn't.

Answer:

answer is 3.144

Step-by-step explanation:

Answer:

more tiles than i laid in ur momms

Step-by-step explanation:

Figure 13 has 11 tiles

Answer:

≈ 84.8 cm²

Step-by-step explanation:

The area of the shaded region is calculated as

area of circle - area of unshaded sector

area of circle = πr² = π × 6² = 36π

unshaded area = area of circle × fraction of circle

                          = 36π × [tex]\frac{90}{360}[/tex] = 36π × [tex]\frac{1}{4}[/tex] = 9π

area of shaded region = 36π - 9π = 27π ≈ 84.8 cm² ( nearest tenth )

Answer:

well you multiple 20 by 6 to get 120, so that means multiple everything by 6

SO, 6 cups of flour, 3 cups of sugar, and 4 1/2 cups of milk

Answer: $1,842

Step-by-step explanation:

John wants to earn 25% of his investment of $50,000 which is:

= 25% * 50,000

= $12,500

He has expenses of $9,600 yearly so the rent he should charge per year in order to make his 25% requirement as income is:

= Expenses + Return

= 9,600 + 12,500

= $22,100

Rent per month is:

= 22,100 / 12

= $1,842

Answer:

200in

Step-by-step explanation:

theres two squares in this face, so find the area of them

A = 10x10

A = 100in

A = 10x10

A = 100in

100 + 100 = 200in

Answer:

After 1.2 seconds

Answer:

120 cm³

Step-by-step explanation:

multiply all the numbers together

4*6*5

120

Answer:

The cost of one ticket is $14.75

Step-by-step explanation:

To find the cost of one ticket we need to divide 280.25 by 19

=$14.75

plz mark me as brainliest

Answer:

The cost of one ticket is $14.75

Step-by-step explanation:

The cost of one ticket is $14.75

To find the cost of one ticket we need to divide 280.25 by 19

=$14.75

please mark as brainliest

Answer:

70.5

Step-by-step explanation:

cos x = [tex]\frac{4}{12}[/tex]

x = [tex]cos^{-1}\frac{1}{3}[/tex]

x = 70.53

Answer:

Y= 1.165x18.703

And the equation from the previous problem to predict the price BZG stock on day 30 is y=1.165(30) + 18.703 -$53.65

Answer:

2.83

Step-by-step explanation:

d= Square root of (x2 - x1 )^2 +( y2- y1)^2

from the point given you

x1= -6

y1 = -17

x2 = -8

y2 = -19

by applying the formula

Square root of ( -8 - (-6))^2 + ( -19 - (-17))^2

Square root of (-8+6) + (-19+17)^2

Answer:

4π in.

Step-by-step explanation:

formula circumference= 2πr

r = half of diameter

Answer:

B

Step-by-step explanation:

(r^-7)^6 = r^-42 = 1/r^42

Answer:

78

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

(x^2+2)*(1-3x)=-3x^3+x^2-6x+2

now plug in -1

-3(-1)^3+(-1)^2-6(-1)+2=12

hope this helped  

Answer:

I got you fam.

the answer is 180

Step-by-step explanation:

so if you look at how HE is 115 then you take 180 and -115 to get 65 so your answer is 65.

Hoped that helped! :)

Answer:

x = -1, -7

Step-by-step explanation:

=> x² + 8x + 7 = 0

=> (x + 1) (x + 7) = 0

=> x = -1, -7

Answer:

5,9

Step-by-step explanation:

Answer:

The answer would be X= -7 .

Step-by-step explanation:

Hope it helps :)

Answer:

x=32°

Step-by-step explanation:

2x+3x+20=180 co interior angle

5x=180-20

x=160/5=32°

Answer:

12°

Step-by-step explanation:

a straight line adds up to 180°

(3x+20)+2x=180

3x+2x+20=180

5x+20=180

5x=180-20

5x=60

5x/5=60/5

x=12

x=12°

Answer:

30

Explanation

Add 8 and 7. 8 + 7 = 15. 15 x 2 is 30

Answer:

the answer will be 30

Step-by-step explanation:

Add 8 and 7. 8 + 7 = 15. 15 x 2 is 30

Answer:

11.3, rounded

Step-by-step explanation:

mean = average. Add them all up, then divide by how many entries/data points you have.

12 + 18 + 9 + 14 + 8 + 7 = 68

There are 6 numbers we added, so 68/6 = 11.3333333

Please let me know if you have questions.