integral of of sin x/cosˆ2 x

Answers

Answer 1

Answer:

[tex] \sec x + c[/tex]

Step-by-step explanation:

[tex] \int \frac{ \sin \: x}{ { \cos}^{2}x } \: dx \\ \\ = \int \frac{ \sin \: x}{ { \cos}x } . \frac{ 1}{ { \cos}x } \: dx \\ \\ = \int \tan x . \sec x \: dx \\ \\ = \sec x + c[/tex]


Related Questions


Mr. Britt is pouring a 36' x 58' concrete pad for a metal building. If concrete costs
$123.00 per cubic yard, what will be the cost of the concrete to pour the pad 8 inches
thick? A cubic yard of concrete = 27 cubic feet and Cu.Ft. = T'x W' x L' (Round up
to the nearest cubic yard when calculating concrete needed.)
a. $5,047.00
b. $6,396.00
c. $6,564.00
d. $7,329.00

Answers

Answer:

Step-by-step explanation:

8 in × (1 ft)/(12 in) = ⅔ ft

36 ft × 58 ft × ⅔ ft = 1392 ft³

1392 ft³ × (1 yd³)/(27 ft³) ≅ 52 yd³

52 yd³ × $123/yd³ = $6396

okay so for some reason my mind went completely blank and forgot how to do pathagoream theorem. so like could you tell me the steps please​

Answers

Answer:

12

Step-by-step explanation:

Pythag Theorem is Leg² + Leg²= Hypotenuse²

So I set it up as: x² + 9²=15²

Then solved and got: x² + 81 =225

Then I subtracted 81 on both sides and got: x² = 144

Then squareroot each side to undo the x² and got x=12

The formula for the pythagorean theorem is a^2 + b^2 = c^2, or in this case, leg^2 + leg^2 = hypotenuse^2. After inserting the values into the equation, you get x^2 + 9^2 = 15^2. The next step is to find the value of x, and to do so, you must evaluate the powers (9^2 = 81, 15^2 = 225) and subtract 81 from both sides of the equation. Lastly, take the square root of both sides, and you get the final answer of 12.
Hope this helps! Have a good day!

I NEED HELP NOW PLZ!!

Answers

Answer:

D last one

Step-by-step explanation:

Could anyone explain this question in detail?

Answers

Answer:

h and k are simply variables that stand in for the x and y of a point. Math books could have easily have used x1, x2 y1 y2, etc, but h and k is the convention.

anyway, this is a guess n check question. Substitute the x value of the point for h, and y value for k, and whichever one gives you a true equation is the right one.

Answer:

Step-by-step explanation:

y = a(x-h)²+k is the “vertex-form equation” for a vertical parabola with vertex (h,k).

Since a>0, the parabola opens upwards. (If a<0, it opens downwards. If a=0, it is not a parabola at all.)

The parabola y = a(x-h)²+2k is the same shape as the first equation, but it is shifted vertically by k units.

Since (2,4) is a point on the first parabola, (2,4+k) is a point on the second parabola.

Match each fraction, decimal, or percent with an equivalent fraction, decimal, or percent


It's more different than other people, for some people 1/2 equal 7.5. but mine shows 1/2 = 50% or 2/ 25 or 72% or 0.34? so I know mine doesn't add up, and this is on docs.

Answers

Answer:  2/25 as a percent is 8% and as a decimal is 0.08 and what is your question I don't really understand?

Step-by-step explanation:

-6x+5y=1 and 6x+4y=10.simplify

Answers

Answer:

1.)[tex]x=-\frac{1}{6} +\frac{5y}{6}[/tex]

2.)[tex]x=\frac{5}{3} -\frac{2y}{3}[/tex]

X = 23 over 27. Y = 11 over 9

help due today find the surface area

Answers

Answer:

The total surface area is 178.08

Answer:

The surface area of this figure is 178.08yd²

The density of the American white oak tree is 752 kilograms per cubic meter. If the trunk of an American white oak tree has a circumference of 4.5 meters and the height of the trunk is 8 meters, what is the approximate number of kilograms of the trunk.

Answers

Here I hope this helps you out

Barry has $55. He used 2/5 of his money to buy a new pair of running shoes. How much did Barry spend on his new shoes?
(Please hurry this is a test!)

Answers

Answer:

22, also nice woomy pfp!!!!

look for a percentage and if it's growth or decay
[tex]y = 600(0.71) \frac{x}{8} [/tex]

Answers

29% and it shows decay because the number in the parenthesis is less than 1.

29% because 1- 0.71 = 0.29 then 0.29 is 29%

Please help logarithms!

Answers

Given:

[tex]\log_34\approx 1.262[/tex]

[tex]\log_37\approx 1.771[/tex]

To find:

The value of [tex]\log_3\left(\dfrac{4}{49}\right)[/tex].

Solution:

We have,

[tex]\log_34\approx 1.262[/tex]

[tex]\log_37\approx 1.771[/tex]

Using properties of log, we get

[tex]\log_3\left(\dfrac{4}{49}\right)=\log_34-\log_349[/tex]      [tex]\left[\because \log_a\dfrac{m}{n}=\log_am-\log_an\right][/tex]

[tex]\log_3\left(\dfrac{4}{49}\right)=\log_34-\log_37^2[/tex]      

[tex]\log_3\left(\dfrac{4}{49}\right)=\log_34-2\log_37[/tex]          [tex][\log x^n=n\log x][/tex]

Substitute [tex]\log_34\approx 1.262[/tex] and [tex]\log_37\approx 1.771[/tex].

[tex]\log_3\left(\dfrac{4}{49}\right)=1.262-2(1.771)[/tex]

[tex]\log_3\left(\dfrac{4}{49}\right)=1.262-3.542[/tex]

[tex]\log_3\left(\dfrac{4}{49}\right)=-2.28[/tex]

Therefore, the value of [tex]\log_3\left(\dfrac{4}{49}\right)[/tex] is [tex]-2.28[/tex].

Andy drove 39 miles on Monday morning. This was 3/4 of the total number of miles he drove on Monday. Solve the equation 3/4m=39 to find the total number of miles Andy drove on Monday.

Answers

He drove a total of 52 miles on Monday.

Answer:

thz for my points back lol.///.//

Step-by-step explanation:

ill mark brainlist plss help

Answers

Answer:

Quadrilateral

Step-by-step explanation:

Quadrilateral is a four sided figure like the US flag.

Answer:

quadrilateral

Step-by-step explanation:

Find the ratio created when BA is partitioned by C.
Write your ratio with a, : and do not include spaces.

Answers

Answer:

[tex]AC:CB = 3:2[/tex]

Step-by-step explanation:

Given

The attached

Required

Find the ratio when partitioned by C

When BA is partitioned, the segments are: AC and CB

From the attachment:

[tex]AC = 3[/tex]

[tex]CB = 2[/tex]

So, the ratio is:

[tex]Ratio = AC : CB[/tex]

[tex]AC:CB = 3:2[/tex]

Solve and check the following linear equation. 8x-(6x-7)=21

Answers

Answer:

x=7?

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

8x-(6x-7)=21

8x-6x+7=21

2x+7=21

2x=21-7

2x=14

x=14/2

x=7

8*7-(6*7-7)

56-(42-7)

56-35

21

change 2y-3+18 to the distributive property

Answers

2(y-3) +18

That’s what it looks like

A math textbook has 6 pages of instruction for every 2 pages of practice problems. How many pages of instruction does it have for every page of practice problems

Answers

Answer:

The answer is 3

Step-by-step explanation:

Here's my explanation. So all you have to do is divide 6 by 2 and we ALL KNOW FOR AFACT what 6/2 right? And its 3 so there ya go!!!

PLS HELP! IT’S DUE TODAY!

Answers

Answer:

4th choice

Step-by-step explanation:

I did process of elimination.

Obviously has to be greater than or equal to 500, since that is the minimum. 12 student clubs multiplied by x, which is probably the amount of many each club makes, plus the amount donated by faculty, so it has to be 12x + 100.

Find the area of the polygon





Group of answer choices

17 square units

29 square units

19 square units

210 square units

Answers

Answer: 17 square units

Step-by-step explanation:

There are two rectangles

One has the dimensions

5 by 3, A = 5 * 3 = 15

The other has the dimensions 3-2 or 1 by 7-5 or 2, A = 1 * 2 = 2

Add the areas:

15 + 2 = 17

The entire area is 17 square units

que es mayor? -6, +5, +1, -2, 0, -8, +7, -4​

Answers

+7 es mayor

7 is the highest

HELP PLEASE ILL GIVE 10 POINTS

Answers

Answer:

The answer would be 150 degrees.

Step-by-step explanation:

When looking at the problem you can see that you have two parallel lines and a transversal. Since the two lines are parallel, this allows alternate interior angles to form, i.e. <A and <B.

Since angle A and B are alternate interior angles, you can now set the two equal to each other.

So, in order to find out what x equals, you have to set the two equations equal to each other.

8x-10=3x+90

Next, solve the new equation.

8x-10=3x+90

Add 10 to both sides.

8x=3x+100

Subtract 3x from both sides.

5x=100

Divide both sides by 5 and you'll get your answer.

x=20

Now that you know what x equals, you can substitute it into the equation for B.

<B= 3(20)+90

60+90= 150

<B=150 degrees

That gives you your answer of <B = 150 degrees.

To check your work you can also substitute x into the equation for <A.

<A= 8(20)-10

160-10= 150

<A=150 degrees.

Therefore, you have just proved that the answer is 150 degrees.

In the figure below, lines A and B are parallel. Find the m∠5 if m∠1 = 75° and m∠3 = 40°

Answers

Answer:

Angle 5 is 75 degrees

Step-by-step explanation:

angle 1 is congruent to angle 5

so angle 5 is also 75 degrees.

The measure of angle 2 and 5 are 65° and 85° respectively.

What are angles of parallel lines?

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

Given that, lines A and B are parallel.

Here, m∠1 = 75° and m∠3 = 40°

Now, x+m∠2+m∠3=180°

x=m∠1 (Vertically opposite angles)

x=75°

75°+m∠2+40°=180°

m∠2+115°=180°

m∠2=65°

m∠2=m∠4=65° (Interior alternate angles are equal)

Now, m∠4+m∠3+m∠5=180°

65°+40°+m∠5=180°

m∠5=85°

Therefore, the measure of angle 2 and 5 are 65° and 85° respectively.

To learn more about the vertical angle theorem visit:

brainly.com/question/8119520.

#SPJ2

Complete the statement about statistical studies.
Asking a group to respond to one or more questions is an example of
v. which is a type of
Reset
an experiment
a survey
a repeated measures design

Answers

Answer:

a survey

observational study

Please give me Brainliest, I really need it.

A Survey is the gathering of information. Asking a group to respond to one or more questions is an example of a survey which is a type of observational study.

What is a survey?

A survey is a collection of question asked to a random group of people who represent the entire population, the responses of the group is assumed to be valid for the entire population.

The blank spaces in the statement can be filled as shown below.

Asking a group to respond to one or more questions is an example of a survey which is a type of observational study.

Learn more about Survey:

https://brainly.com/question/17373064

(x-2y=-5) (2x + 4y =14) what is the value of y

Answers



Sub x=-5+2y
2(-5+2y)+4y=14
y=3

You start baby sitting at 5:30 pm. You babysit for 2 hours. What
time will you be done babysitting?

Answers

Answer:

7:30

Step-by-step explanation:

5:30 + 2:00 = 7:30

Answer:

7:30 p.m.

Step-by-step explanation:

you start babysitting at 5:30 you babysit for 2 hours 5 + 2 equals 7 . 7+.30 equals 7:30 p.m.

List of numbers multiplied together to get 114

Answers

Factors of 114 =1, 2, 3, 6, 19, 38, 57, 114
Distinct Factors of 114 = 1, 2, 3, 6, 19, 38, 57, 114

Bailey has saved 54% of the money he needs to buy a new
skateboard that costs $172.00. How much more money
does he need to buy the skateboard?

Answers

Answer:

$79.12

Step-by-step explanation:

0.54 x 172 = 92.88

172 - 92.88 = 79.12

He needs $79.12 more.

Bailey has saved 54% of the money he needs to buy a new

skateboard he needs $79.12 more.

We have given that,

Bailey has saved 54% of the money he needs to buy a new

a skateboard that costs $172.00.

We have to determine how much more money he needs to buy the skateboard.

What is the savings?

Saving is income not spent or deferred consumption. Methods of saving include putting money aside in, for example, a deposit account, a pension account, an investment fund, or cash. Saving also involves reducing expenditures, such as recurring costs.

0.54 x 172 = 92.88

172 - 92.88 = 79.12

He needs $79.12 more

To learn more about the savings visit:

https://brainly.com/question/25787382

#SPJ2

Hello. Can y’all help me on this please :)
I would probably give brainliest ?

Answers

Answer:

step 1 is wrong

subtract 15 from both sides

x=46

neither tom nor jerry

Answer:

both answers are wrong, substract 15 from both sides, 46, neither tom nor jerry

Step-by-step explanation:

1. 12 ÷ 4 = 3

2. -2.5=25

x=-10

3. 123-77=46

4. neither one of them because 41+12≠29 and 52-14≠66

URGENT HELP PLEASE!!!!!!

Answers

the answer is D i think

Work out length y

I need help

Answers

Answer:

y=31.04668635

Rounded to 1dp would be 31.0

So Y=31.0cm

Step-by-step explanation:

Hypotenuse : Opposite the right angle.

Opposite : Opposite the angle.

Adjacent : the only side left.

Soh Cah Toa (trigonometry formula)

You don't need hypotenuse, so that's irrelevant.

You have opposite and adjacent, O and A, which is tan.

You need to rearrange the formula.

Length ×Tan(Angle) =Opposite.

37×Tan(40)=31.04668635cm

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