Mathematics High School

help please!
integrate the following:
[tex] \displaystyle \int \cos ^{3} (x) dx[/tex]
​

Answers

Answer 1

Answer:

i think its help..............

Help Please!integrate The Following:[tex] \displaystyle \int \cos ^{3} (x) Dx[/tex]
Answer 2

Answer:

[tex] \displaystyle \sin (x) - \frac{ { \sin}^{3} (x)}{3} + \rm C[/tex]

Step-by-step explanation:

we would like to integrate the following integration

[tex] \displaystyle \int \cos ^{3} (x) dx[/tex]

in order to do so rewrite

[tex] \displaystyle \int \cos ^{2} (x) \cos(x) dx[/tex]

we can also rewrite cos²(x) by using trigonometric indentity

[tex] \displaystyle \int( 1 - \sin ^{2} (x) )\cos(x) dx[/tex]

to apply u-substitution we'll choose

[tex] \rm \displaystyle u = \sin ^{} (x) \quad \text{and} \quad du = \cos(x) dx[/tex]

thus substitute:

[tex] \displaystyle \int( 1 - {u}^{2} )du[/tex]

apply substraction integration and:

[tex] \displaystyle \int 1du - \int {u}^{2} du[/tex]

use constant integration rule:

[tex] \displaystyle u - \int {u}^{2} du[/tex]

use exponent integration rule:

[tex] \displaystyle u - \frac{ {u}^{3} }{3} [/tex]

back-substitute:

[tex] \displaystyle \sin (x) - \frac{ { \sin}^{3} (x)}{3} [/tex]

finally we of course have to add constant of integration:

[tex] \displaystyle \sin (x) - \frac{ { \sin}^{3} (x)}{3} + \rm C[/tex]

Related Questions

Please help me with this.

(NO FILES OR LINKS AS YOUR ANSWER, I CAN'T DOWNLOAD THEM)

Answers

Answer: The expressions 11(x+y) and 11x+11y

Hey can you help me fast!!

Answers

the answer is 30 it’s simple if you divide it into boxes :)

I rly need help with #2-4 and #8-9 PLZZ

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Answer:

2. sin=12\15 cos=9/15 tg=12/9

3. sin=3/v13 cos=2/v13 tg=3/2

4. sin=v15/4 cos=7/4 tg=v15/7

Matthew is choosing between two Internet plans for his smart phone. Plan A costs $18 per month plus $0.05 per minute. Plan B costs $28 per month for unlimited usage. Please help me. Show all steps

Answers

Answer:

I would go with plan b because $0.05 can add up pretty fast and would be more expensive than $28

Tom started a stamp collection with 32 stamps each week he added 8 to his collection. Rhea started with 102 stamps each week she gave away 6

Answers

Answer:

The total number of stamps that Tom collect at the end of X weeks is

[tex]32 + 8 * X[/tex]

Step-by-step explanation:

Complete question

Tom started a stamp collection with 32 stamps. Each week he added 8 stamps to his collection.

Rhea started her stamp collection with 102 stamps. Each week she gave away 6 stamps.

Write an equation to represent the number of stamps in Tom’s collection based on the  number of weeks he has been collecting stamps.

Solution

Let "X" be the number of weeks for which Tom collected the stamps

The number of stamps that Tom had at the time of starting the collection [tex]= 32[/tex]

It is given that he collects 8 stamps per week

So the total number of stamps that Tom collect at the end of X weeks is

[tex]32 + 8 * X[/tex]

please help me out :))

Answers

Answer:

144

Step-by-step explanation:

It rotates out of 360 degrees, and since it is a pentagon that rotates from two of its vertices, then 360/5 would give us the amount it is rotating from one vertice. So 72. Then multiply it by two because you are moving from e to b.

144

It takes 100 maple trees to make 20 gallons of maple
syrup. How many maple trees will it take to make one
gallon of syrup? Justify your reasoning.

Answers

5 trees per 1 gallon 100/20 = 5/1 = 5

Three friends compare the balances in their checking accounts.

The balance in Al's account is $32.60.The balance in Dee's account is 34
the balance in Al's account.
The balance in Zac's account is $49.08 less than the balance in Dee's account.

What is the balance in Zac's account?

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Is the balance is dee’s account 34% less then AL’s and also don’t trust anyone who tells you to click on a link it’s a virus

PLEASE HELP I NEED IT TO PASS THIS CLASS

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Answer:

complement angle = 52 + 38 = 90°

supplement angle = 47 + 133 = 180°

Step-by-step explanation:

[tex]here \: is \: your \: solution \: \\ measure \: of \: one \: angle \: = 52 \\ let \: the \: other \: angle \: be = x \\ \\ x \: + 52 \: = 90 \\ x \: = \: 90 - 52 \\ x \: = 38 \\ now \: second \: question \\ x + 47 = 180 \\ x = 180 - 47 \\ x = 133 \\ hope \: it \: helps[/tex]

The square below has an area of 64-16x+x^264−16x+x 2 64, minus, 16, x, plus, x, squared square meters. What expression represents the length of one side of the square?

Answers

Step-by-step explanation: Both 64 and x^2 are perfect squares, since 64=(8)^2 and x^2=(x)^2. Additionally, 16x is twice the product of the roots of 64 and x^2, since 16x=2(8)(x). So the side length of the square is 8-x meters

I think I don’t exactly remember don’t judge me

what is the answer of -13=15+d ?​

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Answer:

d= -28..................

What is the value of X?

Answers

Answer:

56

Step-by-step explanation:

You add 91 and 33 and you get 124. Subtract 180 and 124 to get 56.

56 because the 3 angles have to add up to 180. Please mark as brainliest. :)

20 POINTS PLS FAST
Which situation could NOT represent a proportional relationship?

A The amount a babysitter who makes $7.50 per hour earns in h hours

B The cost of purchasing p pounds of oranges for $1.35 per pound

C The number of gallons of water in x barrels with 13 gallons of water in each barrell

D The weight in x weeks of a cat that gains 1 pound per week if its starting weight is 4 pounds

Answers

Answer:

d

Step-by-step explanation:

i think its d

hello whats this ? ill give brainliest

Answers

Answer:

congruent

Step-by-step explanation:

90+90=180

so not 0 or 270

and complementary means they add up to 90 and none of that is true

so it has to be congruent

the answer is complementary

Which is equivalent to 437
O A 7
B. 12
OC 16
OD. 64
E. 81

Answers

D 64 if this is right please give me brainlist

Please help. Will give brainliest.

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Answer:

7.

radius [r]=3in

length of bold part of circle=(360-40°)/360×2πr

=8/9×2×π×3=16.755

8.

we have

x²-2=2-y²

x²+y²=4..........(1)

comparing above equation with

(x-h)²+(y-k)²=r²

we get

centre(h,k}=(0,0)

radius [r]=2 units

What is the ratio for sin A?


3/4
3/5
4/5
4/3

Answers

4/5. I was doing math assignments like this earlier and remember how to do this. If you need more help on this let me know.

Question 4 of 10
Which choices are equivalent to the expression below? Check all that apply.
416
O A. 74.36
OB. 16.6
O C. 196
D. 724
O E. 96
IF. 132. 13

Answers

A or c am not completely sure I am 90% sure or is I

The square pyramid below represents a tent that Wayne is making. The sides of the tent will be covered in blue fabric, and the base of the tent will be covered in brown fabric. Find the surface area that will be covered in each color of fabric. Enter your answer in the boxes

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Ta furie le Wola t in fatiguer

I would like help on this math problem please!

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Answer:

4^11

Step-by-step explanation:

[(4^3)(4^4)]÷(4^1+4^-4)

using laws of indices

(4^3)(4^4)=4^(3+4)

=4^7

(4^1 +4^-4)=4^(1-4)

=4^-3

4^7/4^-3,recalling about laws of indices if the exponentials are dividiy ,you subtract the powers give their base is equal

4^7/4^-3=4^(7-(-3)

=4^(7+3)

=4^11

Could anyone pls give the ans of 8th pls?

Answers

the answer is: -5/9

Answer:

-5/9

Step-by-step explanation:

[tex]\frac{5}{9}[/tex] + ____ = 0

subtract [tex]\frac{5}{9}[/tex] from both sides of the equation

-[tex]\frac{5}{9}[/tex]               -[tex]\frac{5}{9}[/tex]

leaving you with

____ = - [tex]\frac{5}{9}[/tex]

If using the method of completing the square to solve the quadratic equation
x² + 2x + 16 = 0, which number would have to be added to "complete the
square"?

Answers

Answer:

x=-1+\sqrt{15}i,\:x=-1-\sqrt{15}i

Step-by-step explanation:

For the given quadratic equation,x² + 2x + 16 = 0 the value of x will be x=-1+√15i, and x-=-1-√15i you must add 1 in order to complete the square.

What is a quadratic equation?

Any equation with the formula [tex]\rm ax2 + bx + c = 0[/tex] where x is a variable and a, b, and c are any real values; a quadratic equation is one where a ≠ 0.

It is given that the equation is, x² + 2x + 16 = 0,

The value of x obtained after solving the given equation is x=-1+√15i and x-=-1-√15i.

In order to complete the square you have to take out the following operations,

x² + 2x + 16 = 0

Add and subtract by 1 as

x²+2x+16+1-1

x²+2x+1 +15

(x+1)²+(√15)²

Thus, you must add 1 in order to complete the square.

Learn more about quadratic equations here:

brainly.com/question/17177510

#SPJ2

hiii please help i’ll give brainliest:)

Answers

Answer:

oligarchy

Step-by-step explanation:

w - 4 > -10
Solve the inequality for W

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The answers is w>-6 you’re welcome

angle relationships. please help me. i will give you brainlist. if you are right though.

Answers

Step-by-step explanation:

12x+15+69= 180

12x = 96 X =8

x+137 + 50 = 180

x = - 7

80= 20x

x = 4

Can someone please help me?? It’s graphs using the Pythagorean theorem or something, the picture is shown. I’ll give you 30 points AND Brainly: )

Answers

I think it is 6,5 I don’t know

Solve the equation.
-2/3 (x + 3/5) = 1/2



x=

Answers

−
2
3
(
x
+
3
5
)
=
1
2
Step 1: Simplify both sides of the equation.
−
2
3
(
x
+
3
5
)
=
1
2
(
−
2
3
)
(
x
)
+
(
−
2
3
)
(
3
5
)
=
1
2
(Distribute)
−
2
3
x
+
−
2
5
=
1
2
Step 2: Add 2/5 to both sides.
−
2
3
x
+
−
2
5
+
2
5
=
1
2
+
2
5
−
2
3
x
=
9
10
Step 3: Multiply both sides by 3/(-2).
(
3
−
2
)
*
(
−
2
3
x
)
=
(
3
−
2
)
*
(
9
10
)
x
=
−
27
20
Answer:
x
=
−
27
20

Karen buys candy that cost $5 per pound. She will spend more than $35 on candy. What are the possible numbers of pounds she will buy?​

Answers

If I were Karen I’d just take em all and run

NO LINKS!! PLSS HELP ME I WILL GIVE YOU BRAINLYEST!!

Mr. Hernandez bought 16 meters of
chain-link fencing. The section of his yard that
needs to be fenced is 50 feet long. Did Mr.
Hernandez buy enough fencing? Determine the
number of feet Mr. Hernandez still needs to buy
or how many extra feet he has purchased.
(1 meter = 3.28 feet.)

Answers

Answer:

well yes he has 2.4 extra

Step-by-step explanation:

1 meter is 3.28 feer so 3.28 x 16 is 52.4 and he only need 50.

hoped this hlepd and you have to give me brailyest. i just want to help...

Answer:

yes

Step-by-step explanation:

well we can just multiply the 3 with the 16

well now we have 48

add 28,     16 times which gives us 4.48

48+4.48 52.48

you have 2.48 feet left

and yes he has enough

now, about that deal.....

6.James is fencing his rectangular garden.The garden
has a side with 5meters and another side with 3 meters. What is the perimeter of the garden?​

Answers

Answer:

16 meters

Step-by-step explanation:

5+3+5+3= 16 meters

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