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

Sally rents a life jacket for a one-time fee of $5. She then rents a canoe for $15 per hour. Write an expression that represents the total cost, in dollars, to rent the life jacket and the canoe for h hours.

Answers

Answer:

3.00/8

Step-by-step explanation:

because u simplify 15/5 and u get 3

3x-4y=11
3x+2y=2
please help, I need to find what the answer is for x and y​

Answers

Answer:

I have attached a picture of me solving the equation.

Now you must be wondering how I got the answer, well first simplify the expression in y = mx + b. Then graph it on demos. Do the same thing for the other expression. Pick any point that lies on the line. That is your solution to the equation.

The green line is the expression of 3x - 4y = 11. I simplify the equation in y = mx + b giving me y = 3/4x - 11/4.

The orange line is the expression of 3x + 2y = 2. I simplify the equation in y = mx + b giving me y = -3/2x + 1.

Hope this helps, thank you !!

HELP ASAP PLS!!! ONLY HAVE 10 MINUTES LEFT TO FINISH

Answers

Answer:

Step-by-step explanation:

The graph gave us two points: (5,0)(0,1)

Let’s find the slope!

1-0/0-5

slope is 1/-5

y=-1/5x+b

Choose one point and plug it into x and y

1=-1/5(0)+b

1=0+b

b=1

y=-1/5x+1

Answer:

y=-1/5x+1

Step-by-step explanation:

Find the degree measure of each angle in the triangle.

Answers

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Please do not create new Amazon accounts until we verify your billing information. Any new orders that you place may be delayed or cancelled.

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We will review your information and contact you within 24 hours.

Please do not create new Amazon accounts until we verify your billing information. Any new orders that you place may be delayed or cancelled.

What is the solution to the equation 9 ^-3x ≈ 7?

Answers

Answer:

Press the png

Step-by-step explanation:

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

its $63.96

Step-by-step explanation:

Using the formula (b) and replacing the given values:

Sale Price = Original Price - Amount Saved. So,

Sale Price = 79.95 - 15.99

Sale Price = $63.96 (answer).

This means the cost of the item to you is $63.96.

You will pay $63.96 for a item with original price of $79.95 when discounted 20%.

In this example, if you buy an item at $79.95 with 20% discount, you will pay 79.95 - 15.99 = 63.96 dollars.

Answer:

$63.96

Step-by-step explanation:

$79.95 = 100%

The jacket is on sale for 20% off, therefore it is 100% - 20% = 80% or 0.8

0.8 x $79.95 = $63.96

Please mark me brainliest.

A water faucet leaks 3/5 of a liter of water in 3/4 of an hour. Which TWO statements are correct for this situation


1. The faucet leaks 4/5 liter per hour.

2. The faucet leaks 5/4 liter per hour.

3. The faucet leaks 2/5 liter per 1/2 hour.

4. The faucet leaks 3/8 liter per 1/2 hour

5. The faucet leaks 3/10 liter per 1/2 hour.

Answers

Answer:

A & C

Step-by-step explanation:

Please just trust me

Answer:The faucet leaks 4/5 liter per hour.

The faucet leaks 2/5 liter per 1/2 hour.

Step-by-step explanation:

Three fourth of the students and an additional 18
students at the school purchased a spirit shirt during the
last fundraiser. If 336 shirts were ordered, how many
students are there in the school?

Answers

Answer:

424

Step-by-step explanation:

let 's' = number of students

3/4s + 18 = 336

3/4s = 318

3s = 1272

s = 1272/3 = 424

Please Help, 20 points and brainiliest, URGENT.

Answers

Answer:

Step-by-step explanation:

∠ACB and ∠ECD are vertical angles, so ∠ACB = ∠ECD.

∠D = ∠B

∠A = ∠E

△ABC and △EDC are similar because they have the same angles.

Answer it like this
1: answer here
2: answer here

Make sure you round both to the nearest tenth

Answers

1. Radius is 7
2. Radius is 22 sorry don’t know the diameter

1.) Radius = 6.5 ft.

2.) Diameter = 14 in.

Radius = 7 in.

John roller skates 48km in 3 hours. What is his average speed in kilometers per hour?

Answers

Answer:16km/hr

Explanation:

48km/3hr= 16km/hr

someone please help with the if the domain is restricted between -2

Answers

Answer:

The awnser is c.

Answer:

The answer is C.

The length of a rectangle is 4 inches longer than it is wide. If the perimeter is 52 inches, what are the
dimensions of the rectangle?

Answers

Answer:

L = 15

W = 11

Step-by-step explanation:

P = 2L + 2W

2L + 2W = 52                         Divide each term by 2

2L/2 + 2W/2 = 52/2

L + W = 26                              Substitute the value for L

W + 4 + W = 26                      

2W + 4 = 26

2W = 26 - 4                            Subtract 4 from both sides

2W = 22                                  Divide by 2

W = 22 /2

W = 11

L = W + 4

L = 11 + 4

L = 15

17
There are 510 calories in 100 g of Twix.
There are 45 calories in 100 g of Coca Cola.
Lionel has 60 g of Twix and 140 g of Coca Cola for a morning snack
Work out the total number of calories in this morning snack.

Answers

Answer:

Amount of calories in 60g of Twix and 140g of Coca cola = 1020 calories

Step-by-step explanation:

Given:

Amount of calories in 100 g of Twix = 510 calories

Amount of calories in 100 g of Coca cola = 45 calories

Find:

Amount of calories in 60g of Twix and 140g of Coca cola

Computation:

Amount of calories in 60g of Twix = 60[510/100]

Amount of calories in 60g of Twix = 306 calories

Amount of calories in 140g of Coca cola = 140[510/100]

Amount of calories in 140g of Coca cola = 714 calories

Amount of calories in 60g of Twix and 140g of Coca cola = 306 + 714

Amount of calories in 60g of Twix and 140g of Coca cola = 1020 calories

What is the opposite of this integer: 180,000

Answers

Answer:

-180000

Step-by-step explanation:

What is the value of the expression 5x – x + 8 when x = 2?

Answers

Answer:

16

Step-by-step explanation:

5x - x + 8

5(2) - 2 + 8

10 - 2 + 8

8 + 8

16

The answer is 16 I am sure

2. Evaluate the expression when a = 3
2a + 8

Help PlEaSeEeE!!! This us late and as if right now summer school fir me

Answers

Step-by-step explanation:

When a = 3

2a + 8

= 2* 3 + 8

= 6 + 8

= 14

As per the Question a=3
Expression =2a+8
=2*3+8
=6+8 => 14(ans)

3
What is the remainder when 2,308 is divided by
nine? Give your answer as a fraction.

Answers

Answer:

254 R 6

Step-by-step explanation:

Answer:

256 7/16

Step-by-step explanation:

2308/9 = 256 7/16

two step equations 12=18-d

Answers

Answer:

In this exercise, you need to get d:

12 = 18 - d

What we can do is substracting 18 in both sides:

12 - 18 = 18 - 18 - d

-6 =  -d

And then, we can say that d = 6..


[tex] {a}^{2} {a}^{4} {a}^{5} answer \: a40 \: or \: a11 [/tex]

Answers

It’s a tiny the power of 11
2+4+5 = 11
Pls mark as brainliest

y/-2 = -34
giving brain.

Answers

Answer:

y=68

Step-by-step explanation:

Answer:

y = 68

Step-by-step explanation:

We have the expression y over -2 = -34 and are asked to solve or y.

To solve, we need to isolate for y :

y/-2 = -34

Multiply -2 from both sides :

[tex]\frac{y}{-2} *-2=-34*-2[/tex]

[tex]y = 68[/tex]

Luis wants to buy a skateboard that usually sells for $79.08. All merchandise is discounted by 12%. What is the total cost of the skateboard if Luis has to pay a state sales tax of 6.75%. Round your intermediate calculations and answer to the nearest cent.

Answers

Answer:

$74.96

Step-by-step explanation:

$79.80 × 0.12 = 9.576 (discount)

$79.80 - $9.576 = $70.224

$70.224 × 0.0675 = 4.74012 (add for sales tax)

$70.224 + $4.74012 = $74.96412

7. Look at the picture.
There are designated walkways for people at this beach. Why are these walkways constructed?
A) To keep people away from the other animals that live there.
B) To beautify the beach area in order to attract more tourists.
C) To protect the people, especially children, who visit the beach.
D) To protect sand dunes from foot-traffic that contributes to erosion.

Answers

Answer:

A

Step-by-step explanation:

Walkways are constructed to keep people away from the other animals that live there. Therefore, the correct option is option A.

What is walkway?

In American English, "walkway" refers to any artificial surface or building that facilitates the use of trails. A walkway is described as "a tunnel or path for strolling along, especially. a raised hallway connecting separate sections of such a building or perhaps a wide path inside a park or garden" in the New English American Dictionary.

In New Zealand, wherein "walkways vary significantly in nature, between short urban strolls, to easy seaside areas, to demanding tramps in the high country [mountains]," the word is used to designate a footpath. Walkways are constructed to keep people away from the other animals that live there.

Therefore, the correct option is option A.

To know more about walkway, here:

https://brainly.com/question/29102240

#SPJ6

hlep plees

hi i need to do a test for mi 1 grad clas
what 2-2=
3-1=
and for my hom work
what is
56-210=

300x 285
please help

Answers

2 - 2 = 0
3 - 1= 2
56 - 210= 154 (or -154)
300 x 285=85500

Answer:

0, 2, 154, 85,500

Step-by-step explanation:

these are the anwsers to your question

what do when you have 187,599742 and you have to take away 7937

Answers

Answer:

187,591,805

Step-by-step explanation:

187,599,742 - 7937 = 187,591,805

HTH :)


Find the length of the hypotenuse if a = 5 and b = 7. Round to the nearest tenths.

Answers

Answer:

8.6

Step-by-step explanation:

To find the length of a hypotenuse, use the formula a²+b²=c² where c is the hypotenuse. In this case, it's 5²+7²=c². Then do the calculations and take the square root to find c. 25 + 49 = c². 74=c². The square root of 74 to the nearest 10th is 8.6

Danny charges $27 for 3 hours of swimming lessons, Martin charges $30 for 2 hours of swimming lessons. Who offers a better deal?

Answers

Danny offers a better deal

To complete her holiday wrapping, Bella needs identical
strips of ribbon measuring 3.5 feet each. She has 85 feet of
ribbon in total. About how many pieces of ribbon can she
cut from this long strip?

Answers

Answer:

24

Step-by-step explanation:

Answer:

The answer would be At least 20 box.

Step-by-step explanation:

i anwerd it in the lesson and got it right. Hope this helps. :)

For the equation: D = -0.306c + 0.9979, what is the value of D when c= 1.67? Express answer with the correct number of sig figs?

Answers

Answer:

0.48688

Step-by-step explanation:

Let's solve your equation step-by-step.

d=(−0.306)(1.67)+0.9979

Step 1: Simplify both sides of the equation.

d=(−0.306)(1.67)+0.9979

d=−0.51102+0.9979

d=(−0.51102+0.9979)    (Combine Like Terms)

d=0.48688  

A store sells hardcover books for $8 and paperback books for $5. You buy 9 books, represented by the equation x+y=9, where x is the number of hardcover books and y is the number of paperback books. The equation 8x+5y=51 represents the total cost. How many of each type of book did you buy?

Answers

Answer:

Step-by-step explanation:

x+y = 9

y = 9-x

8x + 5y = 51

8x + 5(9-x) = 51

8x + 45 - 5x = 51

3x = 6

x = 2

y = 9-x = 7

Two hardcover books and seven paperback books.

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