Mathematics College

integral rational trigonometric ​

Integral Rational Trigonometric

Answers

Answer 1

Substitute x = 3 - 2 cos(θ) and dx = 2 sin(θ) dθ (where "sin" = "sen"). So we have

∫ sin(θ) / (3 - 2 cos(θ)) dθ = 1/2 ∫ 1/x dx

= 1/2 ln|x| + C

= 1/2 ln(3 - 2 cos(θ)) + C

(We can remove the absolute value because -1 ≤ cos(θ) ≤ 1, so 1 ≤ 3 - 2 cos(θ) ≤ 5, and |x| = x when x ≥ 0.)

Related Questions

Divide the binomial by the monomial to find the quotient.

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Answer:

9x²-36[tex]y^{5}[/tex]

Step-by-step explanation:

Free Brainlyest for who says bababoi first

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Answer:

bababoi .. yay I did something

Answer:

bababoi

Step-by-step explanation:

bababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoivbababoibababoibababoibababoibababoibababoibababoibababoivbababoibababoibababoibababoibababoibababoibababoibababoioibababoibababoivbababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoibababoi

Show how to find the following product using a diagram
1/4 × 2/3​

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Not to sure about this one. Maybe try google.

Answer:

3/3

Step-by-step explanation:

Explain how to find the slope of the line. And explain answer

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Answer:

by using the slope incercept form: y=mx+b

this one is m=7/3 (m is the letter we use for the word slope btw) :)

Step-by-step explanation:

These two triangles are similar. What are a and b? Note: the two figures are not drawn to scale. Please help with this!!!

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9514 1404 393

Answer:

a = 6b = 22.5

Step-by-step explanation:

The ratio of smallest sides in the two triangles is ...

  smaller / larger = 4/10

To find A and B, we write proportions involving corresponding side lengths.

__

Side A in the smaller triangle is ...

  A/15 = 4/10

  A = (4/10)(15) = 6

__

The ratio of larger to smaller is the inverse of the above ratio, so ...

  B/9 = 10/4

  B = (10/4)(9) = 22.5

What is the percent?

32/80 = %/100​

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Answer: 40% OUT OF 100

2. Write a quadratic function given the roots (4,0) and (2, 0) and the point 2 points
(3, 4). (2 pts) *

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[tex]y = -4(x - 2)(x - 4) [/tex]

[tex]y = -4 {x}^{2} + 24x - 32 [/tex]

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The expression for the quadratic function will be y = -4x² + 24x - 32.

What is a quadratic equation?

A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Given that a quadratic function given the roots (4,0) and (2, 0). The quadratic equation will be formed as below:-

The two roots of the quadratic equation are 2 and 4 then the two factors will be ( x- 2 ) and ( x - 4).

y = -4(x-2)(x-4)

y = -4x² + 24x - 32.

Therefore, the expression for the quadratic function will be y = -4x² + 24x - 32.

To know more about quadratic equations follow

https://brainly.com/question/1214333

#SPJ5


Which equation has a constant of proportionality equal to 1/2?

Answers

Answer:

y=1/2x  or y=.5x

Step-by-step explanation:

Find the other endpoint of the line segment with the given
endpoint and midpoint: Midpoint = (8,-2) and Endpoint= (3,10).

Answers

Answer:The other endpoint is at  ( − 4 , 3 )

Explanation:

The line segment passing through  ( − 4 , 9 )  and  ( − 4 , 6 )

is a vertical line with the midpoint  3

units below the first point.

The other endpoint must be  3

further units below the midpoint i.e. at  ( − 4 , ( 6 − 3 )

Step-by-step explanation:

Example of a balance point

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a home's loss of heat is equal to heat created in the home or when both sides of a seesaw are at an equal level.

Which linear inequality is represented by the graph?

PLEASE HELP

Answers

Answer:

It would be c.

I hope that helps

Step-by-step explanation:

If you look at (0,0) you can see that if you go up two it will be right across second point.

Evaluate -3- (-4) - (-2) + 1.

Answers

Answer:

4

Step-by-step explanation:

-3+4+2+1=4

Which is the coefficient in the expression 7 + 14?

Answers

I believe the coefficient should be 7

A pet shelter maintains a ratio of 5 cats to 8 dogs. If there are 117 total animals in the shelter, how many are dogs? Set up and solve a proportion.

Answers

Dhaka 22 herbs sisjsn jabs and she

If a/b and x/y represent rational expressions and b0 and y0, what is true of their product? Select three options.

The product is equivalent to ay/bx
The product is a rational expression.
The product is equivalent to a/y(x/b)
The product is the ratio of ax and by.
The product is equivalent to ax/b(y)

Answers

Answer:

It’s the 2nd,3rd,and 4th

Step-by-step explanation:

I just took the quiz

Answer:

2,3,4

Step-by-step explanation:

Andrew sold 45 tickets to the school play and Sara sold 60 tickets. Which of the following is equivalent to the ratio of the number of tickets Andrew sold to the number of tickets Sara sold?
a. 6:8
b. 8:10
c. 6:10
d. 10:12

Answers

Answer:

a

Step-by-step explanation:

definitely  not d

Answer:

A

Step-by-step explanation:

Can someone help me? Please i need this done

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Your answer is y=-10x+8b I think. This is because on the x axis it hits -10 and on the y axis it’s 8

definitonss for math really easy

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Answer:The solution to a system of linear equations is the point at which the lines representing the linear equations intersect. Two lines in the x y xy xy -plane can intersect once, never intersect, or completely overlap.

A system of linear equations is usually a set of two linear equations with two variables. x + y = 5 x+y=5 x+y=5x, plus, y, equals, 5 and 2 x − y = 1 2x-y=1 2x−y=12, x, minus, y, equals, 1 are both linear equations with two variables. When considered together, they form a system of linear equations.

a numerical or constant quantity placed before and multiplying the variable in an algebraic expression.

a constant term is a term in an algebraic expression that has a value that is constant or cannot change, because it does not contain any modifiable variables. For example, in the quadratic polynomial the 3 is a constant term.

Step-by-step explanation:

Help plssssssssssssssss

Answers

The product is less than 5, because it is equal to 4.375.

Answer:

less than 5

Step-by-step explanation:

im pretty sure

What is the blank answer?

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Answer:

you..  need to provide a picture

Step-by-step explanation:

I need help solving this

Answers

Answer:

It's D.

Step-by-step explanation:

31-4 = 27 , 63 + 27 = 90 :) so the answer's D. 31

Answer:

D) 31

Step-by-step explanation:.

It is a right angle. All right angles equal 90°. So the two angles add up to 90

90= 63 + x - 4

Add 4 to each side

94 = 63 + x

Subtract 63 to each side

31 = x

For what value of b, would the equation 34(12x−9)+b4=5−3(2−3x) have infinitely many solutions?

Answers

Answer:

23

Step-by-step explanation:

1
Which equation has a constant of proportionality equal to1/2
Choose 1 answer:

Answers

Answer:

C

Step-by-step explanation:

3/6 = 1/2 when simplified.

What is the prime factorization of 5? Enter your answer as a product of prime numbers, like 2 x 3, or as a single prime number, like 17​

Answers

Answer:

The prime factorization of 5 is 5 x 1

Step-by-step explanation:

5 is a prime number but the only factors that make up 5 are 5 and 1

Hope this helps!

(5x + 2) 6x
Solve for x and y
X =
y =

Answers

Answer:

x = 8

y = 138

Step-by-step explanation:

does the equation 4(2x+3)=16x+12-8x have one solution, infinitely many solutions, no solution, or two solutions.

Answers

Answer:

Infinite number of solutions

Step-by-step explanation:

Use distributive property to eliminate the parenthesis on the left:

8 x + 12 = 16 x + 12 - 8 x

combine like terms on the right:

8x+ 12 = 8 x + 12

subtract 12 from both sides

8 x = 8 x   (notice both sides are identical)

subtract 8 x  from both sides

0 = 0

This is a true statement that takes place for whatever x-value we use in the original equation. Therefore, the equation has infinite number of solutions (any real number "x")

3.55. Постройте график линейной функции:
1) у = 2/3х – 4;
2) y = 2x + 6;
3) у = -1,5х – 3;
4) y = -1/2x + 1;
5) y = 5/3x - 2;
6) y = -4/3x + 2;

Answers

Answer:

4) y = -1/2x + 1;

Step-by-step explanation:

maybe

or maybe not

ratio of 5 to 2 total number of servers and cooks is 42 how many servers​

Answers

Answer:

30

Step-by-step explanation:

5 x 6 = 30

2 x 6 = 12

30+12 = 42

Michael’s $1200 car insurance is paid bi-yearly. The second payment is three times the first payment. Find the amount of the first and second payment.

Answers

300 first year
300x 3 =900 second year

What is mA?
Enter your answer in the box.

Answers

Answer:

X=3.75

Step-by-step explanation:

A=24.25

I guess

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Which equation must be true regarding the function?SAABOf(-3) = -5f(-3,-5) = 8f(-5) = -3O f(-5, -3) = -2 help meee will give brainlistq ( please i will do anything but ASAP) what does phyllis tell geroge to do with the squirrel PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP ME I BEGGING YOU PLZZZZZZZZZZZZZZZ HELP!!!! (55 POINTS)1. Evaluate 8a - b if a = 10 and b = 67438100090002. Evaluate expression if a=3 and b=4 . 4b-5a21-883. Evaluate Expressions a=3 b=4, 7a + 8b x 211010080854.Strawberries are $1.95 a pound. Write an expression for p pounds of strawberries.$1.95+p$1.95-p$1.95/p$1.95p5. Kenneth has g gumballs. Maggie has 29 fewer gumballs than Kenneth. Choose the expression that shows how many gumballs Maggie has.g+2929gg-29g 296) 5 + 36 2 x 3 - 475512787)18 + (6 2) 2262940448.Expand -3( 2r + 5s).-6r - 15s-6r + 15s-6r - 15-6r + 2s9. Expand and simplify 5(2 - 3y)10 - 15y10 + 15y10 - 2y10 - 3y10.Factor: 7x + 49y7(x + 7y)7(x + y)can't be factored7(x + 48y)11. 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About 2 percent were sent back to where they came from.Which illustration would best give readers a clearer understanding of the text?an illustration of a patient with chicken poxan illustration of a hospital room at Ellis Islandan illustration of an eye chart for a physical examan illustration of the medicine used to treat mumps