find The derivative of:(cosx/1+sinx)^3​

Answers

Answer 1

Answer:

[tex]-\frac{3 \cdot cos^2x}{(1+sinx)^3}[/tex]

Step-by-step explanation:

[tex]y = (\frac{cosx}{1+sinx})^3\\\\\frac{dy}{dx} = 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{dy}{dx}(\frac{cosx}{1+sinx})[/tex]                        [tex][ y = x^n\ \ \ => \ \ \ \frac{dy}{dx} = b \cdot x^{n-1} \ ][/tex]

    [tex]= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{(1+sin x(-sinx) - cosx(cosx)}{(1+sinx)^2}\\\\[/tex]     [tex][\ \frac{u}{v} = \frac{v \dcot u'- u \cdot v'}{v^2}\ ][/tex]

    [tex]= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-sin x-sin^2x- cos^2x}{(1+sinx)^2}\\\\= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-sin x- (sin^2x+ cos^2x)}{(1+sinx)^2}\\\\= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-sin x-1}{(1+sinx)^2}\\\\= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-1 \cdot(sin x+1)}{(1+sinx)^2}\\\\= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-1}{(1+sinx)}\\\\[/tex]

   [tex]= -3 \cdot \frac{cos^2x}{(1+sinx)^3}[/tex]

   


Related Questions

what’s the answerrr..........

Answers

Answer:

D.90

the answer is 90 because it only flips once


the perimeter of a rectangle is 40 feet. if the lenght is 15 feet, 6 inches, what is the width

Answers

4 feet 6 inches
Step-by-step explanation:
P=2(l+w) [the addition of all sides of the rectangle]
P = 40'
L = 15’6”
So, 40' = 2 (15’6’ + w)
40' = 31’ + 2w
9' = 2w
4’6” = w
If it's easier you can break it change feet into inches and then change back to feet.

Instructions: Find the area of the sector. Round your answer to the nearest tenth.
Can some one help please.

Answers

Answer:

[tex]area = \frac{30}{360} \times \pi(17)^{2} \\ =75.66002307395 \\ = 76in ^{2} [/tex]

A six-sided die is rolled 120 times. Fill in the expected frequency column. Then, conduct a hypothesis test at the 5% level to determine if the die is fair. The data below are the result of the 120 rolls. (Enter exact numbers as integers, fractions, or decimals.)

Face Value Frequency Expected Frequency
1 14 ?
2 33 ?
3 15 ?
4 14 ?
5 30 ?
6 14 ?

Required:
a. State the null hypothesis.
b. State the alternative hypothesis.
c. What are the degrees of freedom?

Answers

Answer:

Die is not fair given that  Pvalue< 0.05, hence we reject Null hypothesis

a) H0: Die = fair

b) Ha : Die ≠ fair

c) df = 5

Step-by-step explanation:

The expected frequency of every face values = 20

a) state Null hypothesis

H0: Die = fair

b) Alternate Hypothesis

Ha : Die ≠ fair

c) degree of freedom

df = ( n - 1 )

   = ( 6 - 1 ) = 5

n = sample size ( number of faces a die has )

Note : After conducting hypothesis test

Pvalue ≈  0.0026

test statistic ≈ 18.30

Hence we can conclude that die is not fair given that  Pvalue < 0.05, hence we reject Null hypothesis

PLS HELP ASAP !!! PLSSS !!

Answers

Answer:

74

Step-by-step explanation:

the lines r parallel and the angle on the same side

Answer:

74°

Step-by-step explanation:

..........................

What is the same as 4/8

Answers

Answer:

1/2 or 2/4 or 8/16 or 16/32....

Step-by-step explanation:

What is the area of triangle in centimeters squared?

Answers

112 centimeters squared
Explanation:
The formula for area of a triangle is:
1/2 • base • height

Use formula with the given dimensions of this triangle:
1/2 • 14 • 16 = 112
(Use the HEIGHT that is PERPENDICULAR to the base)

FINAL ANSWER W/ UNIT OF MEASUREMENT
112 centimeters squared

Hope this helps!
-SpaceMarsh, have a nice day

Need help with this question please <<><>>

Answers

9514 1404 393

Answer:

  √7

Step-by-step explanation:

The Pythagorean theorem tells you the square of the hypotenuse is equal to the sum of the squares of the sides. Let x represent the unknown side. Then we have ...

  x² +9² = (√88)²

  x² +81 = 88

  x² = 7 . . . subtract 81; next, take the (positive) square root

  x = √7 . . . . the third side

the premeter of a rectangle is 326cm and its lenght is 98cm find its breath and area​

Answers

Perimeter = 2(length+breadth)

326= 2(98+b),

breadth= 65 cm

Area of rectangle = l×b = 98×65= 6370cm²

Classify the following as discrete or continuous random variables.
1. The weight of bags of apples, with 10 apples in each bag.
2. The number of times required for a modem to dial an internet provider before connecting.
3. Out of 10 times connecting to an internet provider, the average number of attempts necessary before connecting.
4. A pair of dice is rolled, and the sum to appear on the dice is recorded.

Answers

Answer:

A discrete variable is a variable that can only take some selected given values from a given set, like x ∈ {x₁, x₂, ..., xₙ}

While a continuous variable can take any value in the range, like x ∈ {x₁, xₙ}.

1)  The weight of bags of apples, with 10 apples in each bag.

Here the weight depends on the number of apples in the bag, and we can have only whole numbers of apples in the bag, so this is clearly a discrete variable.

2) The number of times required for a modem to dial an internet provider before connecting.

Same as before, here we can have only a whole number of attempts, so this set is discrete.

3) Out of 10 times connecting to an internet provider, the average number of attempts necessary before connecting.

Here we will have an average of 10 integer numbers:

[tex]M = \frac{x_1 + x_2 + ... + x_{10}}{10}[/tex]

so here we have a kinda dense set of possible values, so we can think of this as a continuous variable.

4)  A pair of dice is rolled, and the sum to appear on the dice is recorded.

Here the possible values are whole numbers again, so we can not have values like 3.5, so again, this is a discrete variable.

According to recent reports, Apple Inc. holds 27.6% of the Tablet Computer market. Suppose a consumer research company believes that 27.6% is too high and undertakes a survey to see if their suspicion is supported by the sample data. A random sample was taken of tablet computer purchases and find that of 200 purchases, 52 are Apple tablet computers. The P-value is 0.3064 and the hypothesis is : H:P = 0.276 H:P < 0.276 You would conclude at a significance level of 5%.
There is statistically significant evidence that Apple Inc. holds less than 27.6% of the tablet computer market.
there is a 30.36% chance that Apple Inc. holds at least 27.6% of the Tablet computer market.
we don't have sufficient evidence to support the claim
We have sufficient evidence to suppot the claim, that Apple holds less than 27.6%

Answers

Answer:

We don't have sufficient evidence to support the claim

Step-by-step explanation:

Null hypothesis:

[tex]H_0: p = 0.276[/tex]

Alternate hypothesis:

[tex]H_1: p < 0.276[/tex]

The P-value is 0.3064

0.3064 probability of finding a sample proportion lower than the one found.

The p-value is higher than the significance level of 0.05, which means that there is no sufficient evidence to support the claim.

I need help??????????????

Answers

The correct answer is A

Answer:

f(n) = 4n + 16

Step-by-step explanation:

n is the nth number in the sequence

plug in the first 3 to check the rule:

4(1) + 16 = 4 + 16 = 20

4(2) + 16 = 8 + 16 = 24

4(3) + 16 = 12 + 16 = 28

it works

PLEASE HELP!! WILL MARK BRAINLIEST TO WHOEVER GETS IT RIGHT

Answers

Answer:

perpendicular, negative reciprocal

Step-by-step explanation:

a negative and a positive slope. 1/5 is the opposite of 5

In recent years, business failures in the United States numbered 63509. The chemical industry accounted for 9499 of these business failures. The Mid-West states accounted for 7900 of the business failures. Suppose that 1270 of all business failures were chemical businesses located in the Mid-West. A failed business is randomly selected from this list of business failures. What is the probability that the business is in the chemical industry if it is known that the business is located in the Mid-West

Answers

Answer:

0.1608 = 16.08% probability that the business is in the chemical industry if it is known that the business is located in the Mid-West.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Failed business in the Midwest.

Event B: Chemical industry.

Probability of failed business being in the Mid-West:

7900 out of 63509. So

[tex]P(A) = \frac{7900}{63509}[/tex]

Probability of a failed business being a chemical industry in the Mid-West.

1270 out of 63509. So

[tex]P(A \cap B) = \frac{1270}{63509}[/tex]

What is the probability that the business is in the chemical industry if it is known that the business is located in the Mid-West?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{\frac{1270}{63509}}{\frac{7900}{63509}} = \frac{1270}{7900} = 0.1608[/tex]

0.1608 = 16.08% probability that the business is in the chemical industry if it is known that the business is located in the Mid-West.

If X + Y means X is the brother of Y, X - Y means X is the sister of Y, and X * Y means X is the father of Y, then which of the following means that C is the son of M?
(1) M-N * C + F
(2) F-C + N * M
(3) N +M-F * C
(4) M * N-C + F
(5) M-N+F * C​

Answers

Answer:

4

Step-by-step explanation:

Based on this question, addition means the first number is the brother of the other, subtract means the first number is the sister of the other and multiplying means the first number is the father of the other.

We see 4 is literally multiplying M by N-C, meaning N is the sister of C and M is the father of N and C.

Max has 4/5 qt of apple juice. He drinks 1/2 qt of it. How many apple juice does he have left? (Give your answer in quarts)

Answers

FIND lowest common denominator:

4/5 1/2
8/10 & 5/10

He drank 5/10 of apple juice.

Answer: 3/10qt of apple juice is left

How many inches are there in 3 yards?

A. 108 in.
B. 96 in.
C. 72 in.
D. 48 in.

Answers

Answer:

108

Step-by-step explanation:

3 yards equal 9 feet and 1 foot equals 12 inches so that means do 12 x 9 and you get 108

The correct option is A.

How to convert feet to yards?

Feet ÷ 3 = 1 yards. yard is 3 feet long, so all you have to do is divide the number of feet by 3 to get the number of yards for your measurement

We know that,

1 feet is equal to 12 inches.

1 feet = 12 inches.

1 yard = 36 inches.

3 yards = 36 × 3 = 108 inches.

3 yards = 108 inches.

Therefore, 108 inches are there in 3 yards.

Learn more about yard and inches here:

https://brainly.com/question/31327558

#SPJ6

what is the mean mark of 847 ÷ 30?

Answers

Answer:

Step-by-step explanation:

Substitute the isolated variable into the second equation. I need help with this, i don’t understand.

Answers

Answer:

Step-by-step explanation:

Substitute the value for y or x into the equation thats listed with it.

For the first one, substitute 3 in place of y.

3x + 6 y = 60 turns into

3x + 6 * 3 = 60

3x + 18 = 60

3x = 60-18

3x = 42

x = 42/3

x = 14

Apply the same to the other equations

10x + 4y = 70 turns into

10 * 5 + 4y = 70

Then solve for y


I NEED HELP QIUCK PLZ HELP ME

You might need: Calculator
What is the area of the following circle?
Either enter an exact answer in terms of IT or use 3.14 for I and enter your answer as a decimal.
r = 5
units?

Answers

Answer:

A = 25pi

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

A = pi (5)^2

A = 25pi

Answer:

Area of circle is 25 π Or 78.5 .

Step-by-step explanation:

We know that

Area of circle = π × r ²

Here,

π = 3.14

r = 5

Substituting the given values in this formula

Area of circle = π × ( 5 ) ²

Area of circle = π × 25

multiplying the values, we get

Area of circle = 25 π Or 78.5

What is the answer? ​

Answers

Answer:

2.- 8.0 in.

Step-by-step explanation:

8.1 in

Step-by-step explanation:

A^2+B^2=C^2

49+16= 65

square root of 65≈8.06

round up to 8.1

If x-12y=-210and x-6y=90 then x =

Answers

Answer:

90

Step-by-step explanation:

x

12

y

=

210

=

=

210

x

6

y

=

90

=

=

90

x

=

=

90

What is the relationship between Riemann Sum and definite integral?

Answers

Please Mark brainliest

Riemann sums help us approximate definite integrals, but they also help us formally define definite integrals. Learn how this is achieved and how we can move between the representation of area as a definite integral and as a Riemann sum.


Definite integrals represent the area under the curve of a function, and Riemann sums help us approximate such areas. The question remains: is there a way to find the exact value of a definite integral?

You can find some reference below:

https://math.wvu.edu/~hlai2/Teaching/Tip-Pdf/Tip1-29.pdf

The amount of bleach a machine pours into bottles has a mean of 36 oz. with a standard deviation of 0.55 oz. Suppose we take a random sample of 56 bottles filled by this machine. So, 75% of the sample means will be less than what value

Answers

Answer:

0.9836

Step-by-step explanation:

product of x+3 and x-9

Answers

Answer:

Step-by-step explanation:

(x+3)(x-9)

multiply x with whole (x-9) and 3 with (x-9)

=x(x-9)+3(x-9)

multiply the brackets

=x^2-9x+3x-27

add or subtract like terms

=x^2-6x-277   is a required answer

Answer:

[tex] {x}^{2} - 6x - 27[/tex]

Step-by-step explanation:

[tex](x + 3) \times (x - 9)[/tex]

[tex]x(x−9)+3(x−9)[/tex]

[tex]x \times x+x(−9)+3(x−9)[/tex]

[tex] {x}^{2} +x(−9)+3x+3(−9)[/tex]

[tex] {x}^{2} −9x+3x−27[/tex]

[tex] {x}^{2} - 6x - 27[/tex]

Hope it is helpful...

If A and B are two independent events with P(A)=2÷3 and P(B) =1÷5, find P(AUB).​

Answers

Answer:

[tex]for \: independent \: events : \\ P(AUB) = P(A) + P(B) \\ P(AUB) = \frac{2}{3} + \frac{1}{5} \\ = \frac{13}{15} [/tex]

Step-by-step explanation:

P(AUB) is P(A) + P(B) because P(AnB) is zero.

[tex]P(AUB) = P(A) + P(B) - P(A{ \huge{n} }B) \\ P(AUB) = P(A) + P(B) + 0[/tex]

Find the point-slope equation for the line that passes through the points (2, 1) and (-2, 5). Use the first point in your equation.​

Answers

Answer:

y = -x +3

Step-by-step explanation:

first find the slope

m = (y2-y1) / (x2-x1)

m = (5-1) / (2--2)  = -1

note that it does not matter which points you chose to be second or first

use point-slope equation

y - y1 = m ( x - x1 )

y - 1 = -1 ( x - 2)

y = -x +2 + 1

y = -x +3

please if you find my answer helpful mark it brainiest

Answer:

y=-x+3

Step-by-step explanation:

Gradient(m)= y1-y2÷x1-x2

=1-5÷2-(-2)

=-4÷4

=-1

therefore m= -1

y-y1=m(x-x1)

y-1=-1(x-2)

y=-x+2+1

y=-x+3

At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.12 and the probability that the flight will be delayed is 0.08. The probability that it will not rain and the flight will leave on time is 0.82. What is the probability that it is raining if the flight leaves on time? Round your answer to the nearest thousandth.

Answers

Answer:

0.109 = 10.9% probability that it is raining if the flight leaves on time.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

Conditional probability:

Event A: Leaves on time

Event B: Raining

Probability that the flight will be delayed is 0.08.

So 1 - 0.08 = 0.92 probability that it leaves on time, that is, [tex]P(A) = 0.92[/tex]

The probability that it will not rain and the flight will leave on time is 0.82.

0.92 - 0.82 = 0.1 probability it is raining and the flight leaves on time, so:

[tex]P(A \cap B) = 0.1[/tex]

What is the probability that it is raining if the flight leaves on time?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1}{0.92} = 0.109[/tex]

0.109 = 10.9% probability that it is raining if the flight leaves on time.

Please help and explain

Answers

9514 1404 393

Answer:

  d.  f(2) < g(2)

Step-by-step explanation:

The attached table and graph shows how the functions relate for the various x-values of interest. The true statement is ...

  f(2) < g(2)

  -3 < 0

please answer this , like ASAP

Answers

Answer:

let total be U and strawberry be S and.apple be A .

now

n[U]=200

n[S]=56% 0f 200=112

n[A]=44%of 200=88

n[A n S]=30%of 200=60

now

[tex] \bar {A U S}=?[/tex]

we have

n[U]=n[A] +n[B]-n[ A n B]+[tex] \bar{A U S}[/tex]

[tex] \bar{A U S}[/tex]=200-112-88+60=60

option C. 60 is a required answer.

Hope this help!!!

Have a nice day!!!

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