derive

Sinxy = x² + 2xy​

Answers

Answer 1

Answer:

    [tex]\frac{dy}{dx} = \frac{2x +2 y- ycosxy}{x(cosxy-2)}[/tex]

Step-by-step explanation:

Step(i):-

Given

        sin xy = x² + 2xy ...(i)

Apply

       [tex]\frac{d}{dx} UV = U^{l} V + U V^{l}[/tex]

     [tex]\frac{d}{dx} x^{n} = nx^{n-1}[/tex]

Differentiating equation (i) with respective to 'x', we get

      [tex]cosxy \frac{d}{dx} (xy) = 2x + 2( x\frac{dy}{dx} + y(1))[/tex]

      [tex]cosxy (x\frac{dy}{dx} +y(1)) = 2x + 2( x\frac{dy}{dx} + y(1))[/tex]

     [tex]cosxy (x\frac{dy}{dx}) + ycosxy = 2x + 2( x\frac{dy}{dx}) +2 y)[/tex]

   [tex]cosxy (x\frac{dy}{dx}) - 2( x\frac{dy}{dx}) = 2x +2 y- ycosxy[/tex]

   [tex](cosxy-2) (x\frac{dy}{dx}) = 2x +2 y- ycosxy[/tex]

       [tex]\frac{dy}{dx} = \frac{2x +2 y- ycosxy}{x(cosxy-2)}[/tex]


Related Questions

It is important to comparison shop when purchasing a car.
What does comparison shop mean?

-Always buy from a
local dealership
-Take several photos to
use for comparison
-Compare the price &
quality from different
vendors
-Compare the true
market value of every
vehicle

Answers

Answer:

Compare price and quality

Step-by-step explanation:

I did this test

Answer:

option c

Step-by-step explanation:

comparing the price and quality from different vendors is important as we are giving a money we should be sure enough that quality is also as much the money

16 divided by 25 as a decimal

Answers

Answer:

The answer of the question is 0.64

Answer:

0.64 is a decimal and 64/100 or 64% is the percentage for 16/25.

Step-by-step explanation:

It will take you to how you do it scan on phone

b. Solve for x, given the
MZ2 = 9x + 6

Answers

Answer:

Step-by-step explanation:

hello :

9x+6 =60

9x+6-60 =60-60

9x -54 =0

9x -54+54 =+54

9x=54

x = 54/9

x= 6°

Tina found $4.75 at the bottom of her purse and added it to her wallet. She later bought milk and eggs for $6,55 and had
$5.43 left in her wallet
Tina wants to know how much money she had in her wallet before adding the amount she found in her purse (%). Choose ALL
equations in which x correctly represents the amount in her wallet before adding the amount she found,
A)
$6,55 - x + $4.75 - $5.43
B)
x + $4.75 - $6,55 - $5.43
C)
$5.43 -
$6.55 - $1.75 -
Eliminate
D)
$4.75 - $6.55 - $5.43 - X
E)
$5,43 - x + $4.75 - $6.55

Answers

Step-by-step explanation:

step 1. x + 4.75 - 6.55 = 5.43

step 2. looks like b is the only answer.

Answer:

i need help wit this

Step-by-step explanation:

Plz helpppp!!!!! Much love

Answers

Answer:

B.

Step-by-step explanation:

C. Find the value of x below:
15.r + 5
-2 + 16.

Answers

Answer:

7

Step-by-step explanation:

(15x + 5) and (-2 + 16x) represents the measures of corresponding angles.

Measures of corresponding angles are equal.

Therefore,

- 2 + 16x = 15x + 5

16x - 15x = 5 + 2

x = 7

What is the slope of the red and blue line

Answers

Answer:

red=-1/4 blue= 4/1

Step-by-step explanation:

rise/run

Ms. Rathman has 5 nickels, 3 dimes, and 2 quarter. In how many ways can she make change
for 50¢? Make a systematic list to answer this question

Answers

Answer:

I guess 5

Step-by-step explanation:

2 q 0 n 0 d

1 q 1 n 2 d

1 q 3 n 1 d

1 q 5 n 0 d

0 q 3 d 4 n

GrumpyCorp drug tests all of the recent college graduates it hires each year. The drug test currently used correctly determines drug users 96% of the time(a Positive test) and correctly determines non-users 90% of the time(a Negative test). A recent study concluded that 36% of college students use drugs. A potential employee has been tested and the result was Negative for drug use.
a) Construct ALL necessary probabilities using proper notation(Example: P(D) for a "drug user"). (Hint: there should be 6 total)
b) Find the Probability of a Negative test, by showing use of the above Probabilities first, and then followed by the proper calculation.
c) Use Bayes' Theorem to find the probability that a person who tests Positive actually was not a Drug User. Set up using Conditional Probability Notation and then substitute in numeric values.

Answers

Solution :

Drug : Drug user

T : Test positive

a). [tex]P(D) =0.36[/tex]

    [tex]$P\left(\frac{T}{D} \right) = 0.96$[/tex]

    [tex]$P\left(\frac{T^c}{D^c} \right) = 0.90$[/tex]

b). [tex]$P(T^c)= P\left(\frac{T^c}{D^c}\right) \times P(D^c)+ P\left(\frac{T^c}{D}\right) \times P(D)$[/tex]

               [tex]$=0.9 \times (1-0.36) + (1-0.96) \times 0.36$[/tex]

               = 0.5904

c). [tex]$P\left(\frac{D^c}{T}\right) = \frac{P\left(\frac{T}{D^c}\right). P(D^c)}{P\left(\frac{T}{D^c}\right). P(D^c) + P\left(\frac{T}{D}\right). P(D)}$[/tex]

                  [tex]$=\frac{(1-0.90) \times (1-0.36)}{(1-0.90) \times (1-0.36)+(0.96 \times 0.36)}$[/tex]

                 [tex]$=0.15625$[/tex]

Word problem please help thank you

Answers

Answer:

The equation would be           P(t) = 280t + 3310              

The estimated number of moose in 2008 would be 8350 moose.

Step-by-step explanation:

First we will have to find out by how much will the number of moose increase each year. In order to do that we the number by which the population of moose increase, by the difference between 1991 and 1999. And so we get...

[tex]\frac{5830-3590 }{1999 - 1991} = \frac{2240}{8} = 280[/tex]

Now that we know by how much the number of moose increases each year, we can make the following equation...

Let "t" be the number of years from 1990, then...

P(t) = 280t + 3310

(if you are wondering why is it 3310, it is because you have to put in the number of moose that was there in 1990 and you can get that number by substracting 280 from the number of moose in 1991).

Based on the linear relation we figured out, the number of moose in 2008 would be predicted to be...

P(t) = 280t + 3310

P(2008 - 1990) = 280(2008 - 1990) + 3310

P (18) = 280(18) + 3310

P(18) = 8350

After simplifying, how many terms are there in the expression 2x - 5y+3+ x?
3
4
5
6

Answers

Answer:

3

Step-by-step explanation:

Adding 2x and x gets you 3x-5y+3. Counting each term gives you three seperate terms, meaning your answer is 3.

Answer:

answer is 3

Step-by-step explanation:

adding 2x and x gets you 3x-5y+3

What 5 divided by 4.25.

Answers

Answer:

Step-by-step explanation:

5 divided by 4.25 =  85 reminder 0

Which number can be placed in the box to make the number sentence true
7
7
Х
5
Л
5
multiplying a fraction less than I will make the product less than the other factor
3
6
multiplying a fraction byt will make the product larger than the other factor
3
-multiplying a fraction greater than I will make the product less than the other factor
15-multipying a fraction greater than 1 will make the product less than the other factor

Answers

It would be 2/3 so it would be less than 7/5

The ratio of the three angles of a triangle is 2:4:6. What is the measure of the
SMALLEST angle?

Answers

The measures of the angles are 30, 60 and 90 degrees.
Explanation:
I assume the question should read "the measures of the ANGLES of the triangle are in the ratio 2:4:6.
If the angles are in the proportion 2:4:6, the measures of the angles have the same scale factor
x
. And, the sum of the measures of the angles of a triangle is
180
.

2
x
+
4
x
+
6
x
=
180

12
x
=
180

12
x
12
=
180
12

x
=
15

The measures of the angles are:
2
x
=
2
(
15
)
=
30

4
x
=
4
(
15
)
=
60

6
x
=
6
(
15
)
=
90

PLEASE HELP I AM STUCK

Answers

Answer:

Do the pythagor theorem and add 5

It's 65

help and please explain will give brainliest

Answers

Answer:

2.83

Step-by-step explanation:

36 pi = pi×r×r×h

36=r×r×h

h= 4

36= r×r×4

8=r×r

[tex] \sqrt{8} = x[/tex]

r= 2.83


[tex]obtain the fourier expansion for sin ax in the interval - | \leqslant \times \leqslant | [/tex]

Answers

I really do not get it . It’s this a question ? If so can you be a little more specific .

Henri challenges Emile to a walking race. Because Emile's walking rate is faster, Emile gives Henri a 45-meter head start. Emile knows his brother would enjoy winning the race, but he does not want to make the race so short that it is obvious his brother will win. How long should the race be so that Henri will win in a close race?

Answers

Answer:

about 29 seconds and 74 meters

Step-by-step explanation:

Resuelve la siguiente operación (3/4+1/2):(5/3+1/6)​

Answers

Answer: 0.6818182

Step-by-step explanation:

Answer:

fhduogherogi

Step-by-step explanation:

The data set shows the lengths, in minutes, of different musical performances.
36, 15, 9, 22, 36, 14, 42, 45, 51, 29, 18, 20
What is the interquartile range (IQR) of the data set?

Answers

Answer: It has to be 22.5

Step-by-step explanation: Since this is a quiz, I won't tell you how to solve it, i'll give you some clues. But with what I know is; you have to  find the (Q1) and (Q3) Then see what the difference is between  the quartiles, and that should be your answer.

The interquartile range (IQR) of the data set is 19.

It is required to find the interquartile range (IQR) of the data set.

What is statistics ?

Statistics are defined as numerical data, and is the field of math that deals with the collection, tabulation and interpretation of numerical data. It is the study and manipulation of data, including ways to gather, review, analyze, and draw conclusions from data.

Given:

The date are arranged from ascending order

9,14,15,18,20,22,29,36,36,42,45,51

Now you have one lower half with the numbers 9,14,15,18,20,22 and an upper half with the numbers 36,36,42,45,51.

As you can see in the figure, you have to find the median for these lower and upper halfs, so you have:

[tex]Q_{1} =16\\\\Q_{3} =35\\[/tex]

Now we can find the interquartile range that is:

[tex]IQR=Q_{3} -Q_{1}\\\\IQR=35-16\\\\IQR=19[/tex]

Therefore, the interquartile range (IQR) of the data set is 19.

Learn more about statistics here:

https://brainly.com/question/23091366

#SPJ2

6. Sheila simplified an expression using the following steps. Which property justifies Step 3?

Step 1: 5x + 4(3 + 2x)
Step 2: 5x + 12 + 8x
Step 3: 5x + 8x + 12
Step 4: 13x + 12

O A. Identity Property
O B. Associative Property
O C. Distributive Property
D. Commutative Property​

Answers

Answer:

answer is Commutative Property

Step-by-step explanation:

Answer:D

Step-by-step explanation:Don't have one

how many 1/2 inch cubes does it take to fill a rectangular prism with a length of 1 inch, a width of 2 inches and a height of 3 inches

Answers

Answer:

Step-by-step explanation:

A decreased by 20% and then increased by 20% express using algebra
asapppppp

Answers

Answer:

96%

Step-by-step explanation:

assume the whole number is x

the first thing is decreasing by 20 %

x - 20%x = 80% x

then now the 80%x is the whole number  

now It's the turn of increasing

80%x + 20% * (80% x) = 80%x + 16%x = 96% x

I hope this is hlepful to you !!!!

Feel free to ask me in the comments

A restaurant bought 5 pounds of salmon for $42.50. How much would 7 pounds of salmon cost? *

Answers

Answer:

59.5

Step-by-step explanation:

42.50/5=8.5

1 lb=8.5

7lb=7*8.5=59.5

(a) Calculate the mean, median, and mode of the data.
If your answer is not a whole number, enter it as number rounded to the nearest integer.
Mean =
60
Median =
60
Mode = 61
(b) What measure of central tendency, if any, best represents the data?
Mean
Median
Mode
All three represent the data equally well

Answers

Answer:

Step-by-step explanation:

what you see mode mean median;what i see the moleecur stricture of 4dsn_eix+dwk x sjsw39i4

I think it would be mean as it gives you the average answer, most likely being the most accurate.

Factor the expression 49t4 - 25 using the polynomial identity (x2 - y2) = (x - y)(x + y)

Answers

Answer:

Step-by-step explanation:

49t^4-25

(7t^2-5)(7t^2+5)

-5/6+1/4

Simplify if needed
Brainliest

Answers

Answer:

-7/12

Step-by-step explanation:

-5/6 + 1/4 (LCM is 12)

-10/12 + 3/12

-7/12


[tex]53 \times \frac{8}{6} [/tex]
i dont know how to do it can u show me​

Answers

Answer:

What do you want your answer in? Exact or decimal form?

Exact form: 212/3

Decimal form 70.6

Step-by-step explanation:

Cancel the common factor of 8 and 6 for 53 * 4/3. Multiply 53(4/3), 212/3. This would be the answer for the exact form, decimal form is created by dividing 212 by 3, for 70.66666--.

53x8
____

1x6


Do that and ur answer

What is the approximate height of the building? Round to the nearest tenth of a foot. feet

Answers

Answer:

22.5 feet

Step-by-step explanation:

The approximate height of the building is to be considered as the 22.5 feet that should be Round to the nearest tenth.

Calculation of the height:

Since

A 26-foot-long ladder is leaning against a building at a 60 degree angle with the ground.

We know that

sin θ = Perpendicular/Hypotenuse.

So

here we assume p be the Perpendicular

So,

sin60 = p/26.

p = 26*sin60.

p = 22.5

hence, The approximate height of the building is to be considered as the 22.5 feet that should be Round to the nearest tenth.

Learn more about height here; https://brainly.com/question/21005254

At a summer camp, 5 out of 12 campers are signed up for horseback riding. If there are 432 campers at the camp, how many are signed up for horseback riding?

Answers

Answer:

The answer is 180.

Step-by-step explanation:

(5/12) x 432 = 180

Answer:

I just need points

Step-by-step explanation:

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