Plzz solve this easy calculus :')

Plzz Solve This Easy Calculus :')

Answers

Answer 1

Answer:

[tex] \sin \: x - \cos x \: + c[/tex]

Step-by-step explanation:

[tex] \int \frac{cos2x}{ \sqrt{1 - sin2x} } dx \\ \\ = \int \frac{ {cos}^{2}x - {sin}^{2}x } { \sqrt{ {sin}^{2}x + {cos}^{2}x - 2sinx \: cosx } } dx \\ \\ = \int \frac{ ({cos}x - {sin}x )({cos}x + {sin}x )} { \sqrt{ {({cos}x - {sin}x )}^{2} } } dx \\ \\ = \int \frac{ ({cos}x - {sin}x )({cos}x + {sin}x )} {{ {({cos}x - {sin}x )} } } dx \\ \\ = \int({cos}x + {sin}x)dx \\ \\ = \int{cos}x \: dx + \int{sin}x \: dx \\ \\ = \sin \: x - \cos x \: + c[/tex]


Related Questions

A sample of 80 high school senlors, 45% of which are female, were surveyed as to whether or not they are employed
outside of school. 25% of the boys surveyed sald they are not employed. How many boys are employed?

Answers

Answer:

33 boys

Step-by-step explanation:

Since 45% of the participants were female and there were a total of 80 students, 36 of the 80 students were female. That means that 44 of the students were male.

25% of 44 is 11. So there are 11 boys that are not employed. From there you can just subtract 44 - 11 and get 33.

33 boys are employed

Answer:

33 students

Step-by-step explanation:

Let's take this step-by-step. First, we know that the sample includes a total number of 80 high school students, and 45% of them are female.

This means that 55% of them are male students, which is required to answer the question. 80 × 0.55 = 44 male students.

Next, 25% of the male students are not employed. This means that 75% of the male students are employed. So, 44 × 0.75 = 33 male students.

Help

Don’t use for points and also be clear or I will take the points back

Answers

Answer:

x=47°

Step-by-step explanation:

..,........................

Answer:

I believe it is 47.  

Step-by-step explanation:  The reason why is because for a right angle it must be 90 degrees So, the way I solved this was getting 90-43 I got the 43 from BCD.  then subtracted it and applied it to the other side,  keep in mind I am only a freshman and it might be wrong super tiny chance but it might.  

David says that he can apply the commutative and
distributive properties to 7s + 8 + 5s to get 12s + 8.

Answers

Hope this helps! I had hw similar to this... so..

simplify (2sq root 5-4) (3sq root 5-2)

Answers

Answer:

2√5-4(3√5-2)

6√25-4√5-12√5+8

6(5)-16√5+8

30+8-16√5

38-16√5

pls help me math its due today​

Answers

Answer:

For multiplication you added the exponents and for division you minus the exponents

Answer:

kdkdjdduidddsisiodiod

I dont know how to do surface area

Answers

Answer: the equation for SU is 2(lb+bh+hl)

Step-by-step explanation: L stands for length B stands for base. H stand for height multiply that by 2

Here is part of a train timetable.
0718
0725
0728
Brighton
London
0900
0832
0848
Work out how long it will take the 07 18 train to get to London
Give your answer in hours and minutes.
hr(s) min(s)

Answers

Answer:

1 hour 42 minutes

Step-by-step explanation:

Given :

Time table :

BRIGHTON _____ LONDON

0718 __________ 0900

0725 __________0832

0728 __________ 0848

Tine taken by the 0718 train :

Arrival time, London - Departure time

09:00 - 07:18

2 hours (60 - 18) minutes

Help it’s due today plz

Answers

I can help you with no.1 it is 40

a pair of awesome skinny jeans cost $25 but it is on sale for 25% off. score if tax is 8% what is the total cost​

Answers

Answer:

The answer would be 20.25 i think!

Step-by-step explanation:

The total cost should be $6.75

A rocket accelerates by burning its onboard fuel, so its mass decreases with time. Suppose the initial mass of the rocket at liftoff (including its fuel) is m, the fuel is consumed at rate r, and the exhaust gases are ejected with constant velocity ve (relative to the rocket). A model for the velocity of the rocket at time t is given by the equation

v(t)=−gt−velnm−rt/m

where g is the acceleration due to gravity and t is not too large. If g=9.8 m/s^2, m = 30000 kg, r = 160 kg/s, and ve = 3000 m/s, find the height of the rocket one minute after liftoff.

Answers

This question is incomplete, the complete question is;

A rocket accelerates by burning its onboard fuel, so its mass decreases with time. Suppose the initial mass of the rocket at liftoff (including its fuel) is m, the fuel consumed at rate r, and the exhaust gases are ejected with constant velocity v(sub e) [relative to the rocket]. A model for the velocity of the rocket at time t is given by the equation:

v(t) = -gt - v(sub e) ln [(m-rt)/m]

where g is the acceleration due to gravity, and t is not too large. If g = 9.8 m/s^2, m = 30,000 kg, r = 160 kg/s, and v(sub e)= 3000 m/s, find the height of the rocket one minute after liftoff.

Answer:

the height of the rocket one minute after liftoff is 14.8441 km

Step-by-step explanation:

Given the data in the question;

Velocity of the rocket at time t is;

v(t) = -gt - [tex]V_{e\\}[/tex] ln( [tex]\frac{m-rt}{m}[/tex])

[tex]\int\limits^t_0 {v(t)} \, dt[/tex] = ₀∫⁶⁰(  -gt - [tex]V_{e\\}[/tex] ln( [tex]\frac{m-rt}{m}[/tex]) )dt

= -g([tex][\frac{t^{2} }{2}]^{60}_0[/tex]  - [tex]V_{e\\}[/tex] ₀∫⁶⁰In( [tex]\frac{m-rt}{m}[/tex]) dt

= -g([tex][\frac{t^{2} }{2}]^{60}_0[/tex]  - [tex]V_{e\\}[/tex] [ t In( [tex]\frac{m-rt}{m}[/tex]) + [tex]\frac{m}{r}[/tex] - t - mr[tex]\frac{1}{r^{2} }[/tex] In |m-rt| [tex]]^{60}_0[/tex]

= -g([tex][\frac{60^{2} }{2}][/tex]  - [tex]V_{e\\}[/tex] [ 60 (In(1 -  [tex]\frac{60r}{m}[/tex])-1) + [tex]\frac{m(In(m^{2})-In((m-60r)^2))) }{2r}[/tex] ]

we input our given values; g=9.8 m/s², m=30000 kg, Ve = 3000 m/s, r = 160 kg)

= -9.8([tex][\frac{60^{2} }{2}][/tex]  - 3000 [ 60 (In(1 - [tex]\frac{60(160)}{m}[/tex])-1) + [tex]\frac{30,000(In(30,000^{2})-In((30,000-60(160))^2))) }{2(160)}[/tex] ]

[tex]\int\limits^t_0 {v(t)} \, dt[/tex] =  14844.10 m

we convert to kilometer

[tex]\int\limits^t_0 {v(t)} \, dt[/tex] =  14844.10 ÷ 1000

[tex]\int\limits^t_0 {v(t)} \, dt[/tex] =  14.8441 km

Therefore, the height of the rocket one minute after liftoff is 14.8441 km

   

Tony needs one gallon of orange juice to make punch for a party. Gallons of orange juice cost $3.99 each. Quarts of orange juice cost $1.25 each. Pints of orange juice cost $0.65 each. Cups of orange juice cost $0.20 each. Which of these is the best buy for a gallon?

Answers

Answer:

Cups at $3.20

Step-by-step explanation:

Gallon - $3.99

Quarts - $5,00

Pints - $5.20

Cups - $3.20

Pls help, will give brainliest.

Answers

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Point Form: (3,4)

Equation Form: x=3, y=4

Answer:

x = 3

y = 4

Step-by-step explanation:

You need to get ridof the 2y so add the equations together:

3x - 2y = 1

*add

2x + 2y = 14  

5x + 0 = 15

5x = 15

*divide by 5

x = 3

Now that we have x we can find y by substituting

2(3) + 2y = 14

6 + 2y = 14

* subtract 6

2y = 8

*divide by 2

y = 4

Hope this helps :)

A labor dispute has arisen concerning the distribution of 20 laborers to four different construction jobs. The first job is considered to be very undesirable and requires 6 laborers. The second, third and fourth jobs require 4, 5 and 5 laborers, respectively. The dispute arose over an alleged random distribution of the laborers to the jobs that placed all 4 members of a particular ethnic group on job 1. In considering whether the assignment represented injustice, a mediation panel desired the probability of the observed event. Determine the number of sample points in the sample space S for this experiment. That is determine the number of ways the 20 laborers can be divided into groups of the appropriate sizes to fill all of the jobs. Find the probability of the observed event if it is assumed that the laborers are randomly assigned to jobs.

Answers

Answer:

The answer is "0.30%"

Step-by-step explanation:

To assign employees to work, we have to select 6 out of 20 to do work, instead select 4 out of another 14 jobs, 2 to do, and 5 out of another 10 works 3. The other five were going to go do work four. They may decide how often ways of making each of these options. Their service would be how many forms to allocate those four positions to staff. The random sample is from the height.

There are equally estimated that numbers of arrangements with both the four in Job 1.They then allocate all four to work 1. In this situation We must then select 2 out from the 16 existing spaces in job 1, 4 out from the 14 remaining spaces in job 2, 5 out of the 10 existing spaces in job 3 as well as the ones remaining in job 4.

The possibility of any four being at 1 is that they've been all divided by the overall amount of circumstances in 1 task.

[tex]\to \frac{[ \frac{16!}{(2!4!5!5!)}]}{[\frac{20!}{(6!4!5!5!)}]}\\\\\to [ \frac{16!}{(2!4!5!5!)}] \times [\frac{(6!4!5!5!)}{20!}]\\\\\to [ \frac{16!}{(2!)}] \times [\frac{(6!)}{20!}]\\\\\to [ \frac{16!}{(2!)}] \times [\frac{(6\times 5 \times 4 \times 3 \times 2!)}{20!}]\\\\\to 16! \times [\frac{(360)}{20 \times 19 \times 18 \times 17 \times 16!}]\\\\\to \frac{(360)}{20 \times 19 \times 18 \times 17 }\\\\\to \frac{(360)}{20 \times 19 \times 18 \times 17 }\\\\\to \frac{360}{116,280}[/tex]

[tex]\to 0.00309597523 \approx 0.30 \%[/tex]

a) Let f(x) = 4x + 2 and g(x) = 2x^2-4. Find the formula for the composition function gof
(4Marks)​

Answers

Answer:

g o f = [tex]g(f(x)) = 32x^2 + 32x + 4[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 4x +2[/tex]

[tex]g(x) =2x^2 - 4[/tex]

Required:

Find g o f

This is calculated as:

[tex]gof = g(f(x))[/tex]

[tex]g(x) =2x^2 - 4[/tex]

So:

[tex]g(f(x)) = 2(4x+2)^2 - 4[/tex]

[tex]g(f(x)) = 2(4x+2)(4x+2) - 4[/tex]

[tex]g(f(x)) = 2[ 16x^2 + 16x + 4)] - 4[/tex]

[tex]g(f(x)) = 32x^2 + 32x + 8 - 4[/tex]

[tex]g(f(x)) = 32x^2 + 32x + 4[/tex]


Someone help me with this.

Answers

Answer:

2x² + 13x + 15

Step-by-step explanation:

| 2x | 3

x | 2x*x = 2x² | 3*x = 3x

5 | 2x*5 = 10x | 3*5 = 15

We have, 2x² + 3x + 10x + 15

Combining like terms, we would have the final expression as:

2x² + 13x + 15

Graph. Identify the solution:
1) x + y = 2
X-y=4

Answers

(3,1) and hope this helps

Answer:

X=3 y=-1

Step-by-step explanation:

X+y=2

X-y=4

so that means

y=X-4

substitute it in

X+X-4=2

2x-4=2

2x=2+4

2x=6

x=3

3+y=2

3+-1=2

y=-1

ways to check

3--1=4

double minus equal plus

3+1=4

(2x + 12.8) what is the value of x

Answers

Answer:

2/5 *(5x+32)

Step-by-step explanation:

It takes Colton 14 minutes to decorate 4 cookies. It takes

David 20 minutes to decorate 6 cookies. Who decorates

at a faster rate? Explain how you know

Answers

Answer:

David decorated the cookies at a faster rate than Colton.

Step-by-step explanation:

David decorated one cookie every 3 and 1/3 minutes. Colton decorated one cookie every 3.5 minutes. The way to find the answer to your question is by dividing the number of minutes by the number of cookies decorated.

Write the equation of a line PERPENDICULAR
to 3x + y = 1 that passes through the point (3,
-1).

Answers

Answer:

im pretty sure its y=1/3x

Step-by-step explanation:

rearrange for y to be subject

its perpendicular so then the gradient will be the negative reciprocal (-1 / -3= 1/3) so thats your new gradient

then when you substitute the (3,-1) into that equation get -1=1 + c so then c is 0  and your whole equation is y=1/3x

Sean’s mom baked 48 cookies. After Sean and his friends walk through the kitchen, there are 25% of the cookies left. How many cookies are left?

Answers

36 cookies are left

Step-by-step explanation:

to do this problem all you have to do is do the equation 48*0.25 and when you do that you get 12. after that you subtract 12 from 48 to get 36

Find the total of a
$60 meal with 15%
tip and 8% tax.

Answers

Answer: $73.8 15% of 60 is 9 and 8% of 60 is4.8 then if you add them all together you get 73.8$

Step-by-step explanation:

Answer:

$73.8

Step-by-step explanation:

(15+8)= 23 -> .23 = .23 times 60 = $73.8

1 +3 (6 - 3n) = -6 - 4n
a) {11}
b) {-9}
c) { infinite solutions}
d) {5}

Answers

Answer:

D

Step-by-step explanation:

1+3(6-3n)= -6-4n

1+18-9n= -6-4n

1+18+6= 9n-4n

25=5n

25/5=n

5=n

Forma de distribución del resultado obtenido por los componentes de una sociedad tomando en cuenta dos factores que intervienen, el capital y el tiempo
a) reparto proporcional
b) regla de compañía
c) prorrateo​

Answers

reparto proporcional

Allen added 16 and 15 for a sum of 1330. Is Allen correct? Explain.

Answers

incorrect 15+16= 31 ???
Answer:
Allen is wrong.

Step-by-step explanation:
16 + 15 = 31

can someone help :(!

Answers

Im pretty sure the answer is 135.13

Find the area of the figure below

Answers

Step-by-step explanation:

(3×6) + (2×6)

= 18 + 12

= 30 in²

Andrea spent 5/9 of her money buying a guitar if she had €296 left how much had she had first​

Answers

Answer:

kkk

Step-by-step explanation:

A group of high school students are volunteering for Habitat for Humanity during their summer break. They
are putting the finishing touches on a house they built. Working alone, Kendra can paint a certain room in 7
hours. Joe can paint the same room in 6 hours. Write an equation that can be used to find how long it will
take them working together to paint the room. How many hours will it take them to paint the room? If
necessary, round your answer to the nearest tenth.

Answers

In response to the question, we may say that It will take Kendra and Joe expression approximately 3.2 hours to paint the room together.

what is expression ?

An expression in mathematics is a collection of representations, numbers, and conglomerates that mimic a statistical correlation or regularity. A real number, a mutable, or a mix of the two can be used as an expression. Mathematical operators include addition, subtraction, fast spread, division, and exponentiation. Expressions are widely used in arithmetic, mathematics, and shape. They are employed in the depiction of mathematical formulas, the solving of equations, and the simplification of mathematical relationships.

Let's denote the time it takes Kendra to paint the room as "K" and the time it takes Joe to paint the room as "J". We can use the formula:

[tex]1/K + 1/J = 1/T\\1/7 + 1/6 = 1/T\\13/42 = 1/T\\13T = 42\\[/tex]

Therefore, T = 42/13 ≈ 3.2 hours (rounded to the nearest tenth).

It will take Kendra and Joe approximately 3.2 hours to paint the room together.

To know more about expression visit :-

https://brainly.com/question/14083225

#SPJ1

The pottery class has 16 pounds
of clay. Each student got 1/2 of a
pound of clay to make a plate.
How many plates did the
students make?

Answers

Answer:

32 plates

Step-by-step explanation:

If the pottery class has 16 pounds  of clay and each student got 1/2 of a pound;

then;

1 plate = 1/2 pounds

xplate = 16pounds

Divide both expressions

1/x = 1/2÷16

1/x = 1/2*!6

1/x = 1/32

x = 32

Hence the student will make 32 plates

The cost of one large pizza at your favorite pizza place is $15.99. The pizza place offers 21 different toppings. Each additional topping on a large pizza costs $2.75. Write an equation To represent the total cost for a pizza with any number of toppings, then find out what the pizza will cost if you add 7 additional toppings?

Answers

1. 15.99+(2.75x)
2. 15.99+(2.75 * 7)
= 15.99+19.25
=35.24

Other Questions
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