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

Help pls

What is the main detail when Multiplying a Difference of Squares?
There is no "A" Value
There is no "B" Value
There is no "C" Value

Ik it’s not c!

Answers

I think it’s B value but I’m not sure

A line passes through the points (-5, 2) and (10,-1). Which is the equation of the line?
o y--3x+1
oys
O y=-5x - 23
O y = 5x + 27

Answers

Answer:

0

Step-by-step explanation:

what happened that 0 ok live bistro 2.52 and 10 1 which is the quality of the line or 3 x + 100 s y if x = 25

Distribute and combine like terms:
6-3(x-8)

Please show a step by step process.

Answers

-3x+30 6-3x+24 30-3x

help me please!!!!!....

Answers

If it’s Kano look it up there is either a pdf or a pic of all the answers

In a store the number of dogs is 12 times greater than 3 times of cats. If there are 21 dogs in the store, how many cats are in the store?

Answers

Answer:

If you really meant that the number of dogs is 12 greater than 3 times the number of cats then:

3 cats

Step-by-step explanation:

21= number of dogs

c = number of cats

21 = 12 + (3c)

3c = 9

c = 3

.cuál es el resultado de 3.15+2​

Answers

Answer:

3.15+2=5.15

The answer is 5.15.

Rick earned 36 extra credit points. Cindy earned e fewer extra credit points than Rick. Write
an expression that shows how many extra credit points Cindy earned.
PLEASE ANSWER

Answers

Answer:

36-e

Step-by-step explanation:

-

Screen printing a batch of shirts requires 1 minute per shirt in addition to 6.07 minutes of initial setup time. If it takes 13.07 minutes to screen-print a batch of shirts, how many shirts are in the, batch?

Answers

Answer:

7

Step-by-step explanation:

13.07 minus 6.07 is 7

7 divided by 1 is 7

ans is 7

LMNP is a rectangle. Find the length of each diagonal. LN=x and MP=2x-9

Answers

Answer:

LN = MP = 9 units

Step-by-step explanation:

In rectangle LMNP, LN and MP are diagonals .

Measures of the diagonals of a rectangle are equal.

Therefore,

MP = LN

2x - 9 = x

2x - x = 9

x = 9

LN=x = 9 units

MP=2x-9 = 2*9 - 9 = 18 - 9 = 9 units

Determine whether the graph represents a function . If it does represent a function , give its domain and range.
#18,20,24,30
PlEASE GUYS HELP ME OUT!!!!

Answers

Answer:

A function is a relationship that maps elements from a set (the domain) into elements from another set (the range)

Such that each element in the domain can be mapped into only one element from the range.

Let's see graphs 18, 20,24 and 30.

Remember that the axis that represents the domain is the horizontal one (usually represented with x), and the vertical axis represents the range (usually represented with y)

18) Here we can see that the point x = 1 his mapped into two different values of y.

we have the pair (1, 2) and the pair (1, -3)

And something similar happens for x = 2.

Then we can conclude that this is not a function.

20) Here we have a linear relationship.

Linear relationships are almost always functions, the only case when these are not functions is when the linear equation is something like x = a.

Linear equations can be written as:

y = a*x + b

So x can be any value, and thus y also can be any value.

Then the domain is the set of all real numbers, and the range is the set of all real numbers.

24) Here we have a quadratic function whose arms go down.

This is a function, now let's see the domain and range.

Quadratic functions are written as:

y = a*x^2 + b*x + c

There is no value of x can cause some problem in this equation, then this function works for all values of x, then the domain is the set of all real numbers.

Now, let's look at the graph.

We can see that the function goes up, reaches a maximum, and then goes down again.

Then the range will be the set of all the values smaller than the maximum we can see in the graph, this is:

y ∈ (-∞, 15]

or simply:

y ≤ 15.

30) Here again, we can see that for x = 0 there are two different values of y.

the same happens for x = -1, x = -2, and a lot of other values.

Then this is not a function, because it is mapping values of the domain into different values of the range.

y = 5x – 2
2x + 9y = 10

Answers

The answer is
x= y+2/5
x= 1/2

Answer:

y= ax+mb

Step-by-step explanation:

differentiate between Charles babbage's and Alan turing's computer designs​

Answers

The Analytical Engine was a proposed mechanical general-purpose computer designed by English mathematician and computer pioneer Babbage,[2][3] with the assistance of Ada Lovelace. It was first described in 1837 as the successor to Babbage's difference engine, which was a design for a simpler mechanical computer.

Write your answer as a decimal or whole number.
% of 10 =7

Answers

Answer: 70%

We know that 70% of 100 is 70 but since we are working with 10 we can use a proportion.

However, just by looking at the numbers we can conclude it is 70% because if you take a zero off of 100 and 70 it is still proportionally equal to 100 and 70. Therefore, the answer is 70%.

what is the system of linear equation by graphing? 2x + 3y=16.9
5x=y + 7.4​

Answers

Answer:

6366336363721.0122112222%

The area of a triangle varies jointly with the lengths of its base and height. A triangle with a base of 10 ft and a height of 4 ft has an area of 20 square ft. Find the area of a triangle with a base of 3 ft and a height of 8 ft.

Answers

Answer:

12 square ft

Step-by-step explanation:

base = 3ft. and height = 8ft. area of triangle = 1/2 ×base × height = 1/2 ×3 × 8 = 24 /2 = 12 square ft.

MARK ME AS BRAINLISTPLZ FOLLOW ME

What is the simplified answer?

Answers

Answer:1 and 1/2

Step-by-step explanation:

Aaron is twice as old as Ryan.In 3 years,the sum of their ages will be 30 years.Find Aaron′s present age ​

Answers

Answer:

If we take Ryan's age as 'x' then we have Aaron's age as '2x'

Now, we have the sum of their ages after 3 years as 30.

So  according to question, we can prepare an equation which is

2x+3+x+3 = 30

= 3x+6 = 30

= 3x = 30-6

= 3x = 24

= x = 24÷3

= x = 8

Thus, Ryan' is 8 years old now.

Now we need to find Aaron's age, and this can be done easily as we have already made an expression fore Aarons age, i.e., '2x'

So 2x= 2×8

= 16.

So we have Aaron's age-16,

Ryan's age-8

Ok so first, let’s see it this way

Aaron: x *2
Ryan: x

So basically 3 in total. Since 30 is already divisible by three we can go from there. Then we will get original age.

30/3 = 10

Aaron = 10 *2
Ryan = 10

This is their ages AFTER the three years. So now, we just subtract to find original age.

20-3= 17
20-3 = 7

Aaron is 17.
Ryan is 7.

Solve 1\ 7 + 1 \2= Show all your steps and don't get the answers from goo.gle.

and if it is not about the question four the answer I will report and no branlest

Answers

Answer:

[tex]\frac{9}{14}[/tex] = 0.642857143

Step-by-step explanation:

[tex]\frac{1}{7}+\frac{1}{2}[/tex]

Least common multiple of 7 and 2 is 14. Convert [tex]\frac{1}{7} and \frac{1}{2}[/tex] to fractions with denominator 14.

[tex]\frac{2}{14} + \frac{7}{14}[/tex]

Since [tex]\frac{2}{14} + \frac{7}{14}[/tex] have the same denominator, add them by adding their numerators.

[tex]\frac{2+7}{14}[/tex]

Add 2 and 7 to get 9.

[tex]\frac{9}{14}[/tex]

What’s the slope of y = -3x + 5? *

Answers

Answer:

-3

Step-by-step explanation:

The number connected to the x is the slope, the number being added on or subtracted is the y-intercept

Answer:

m=-5

Step-by-step explanation:

Hello i have no question im just giving brainliest to whoever answers first

Answers

Answer:

thanks very much I really appreciate your kindness

she has 3 pairs of shirts and 3 pair of pants and 1 cap how many outfits can she make.​

Answers

i drew a picture and got 9 outfits because each shirt can be used with every single color pant and theres 1 cap that can go with each of these outfits

Answer:

she can  make 3 outfits and only one of them have a cap

Step-by-step explanation:

how to rewrite 6(38) using the distributive property?

Answers

6 x 38 = 6 x ( 19 x 2)
= (6 x 19) + (6 x 2)
= 114 + 12
= 226

Find the sine and cosine of the given angle
120°

Answers

Answer:

By using the value of cosine function relations, we can easily find the value of sin 120 degrees. Using the trigonometry formula, sin (90 + a) = cos a, we can find the sin 120 value. We know that the value of cos 30 degrees is √3/2. Therefore, sin 120° = √3/2

Step-by-step explanation:

please mark brainlist

Find the value of x.
5xº
55°
O A. 7
B. 25
C. 18
O D. 11

Answers

Answer:

the answer for this would be D. 11

Which shape is a trapezoid with only 1 pair of parallel side

Answers

Answer: top green one

Step-by-step explanation:

Quadrilateral

Option (b) is the correct, which shows trapezoid with one pair of parallel lines.

What is trapezoid ?

A trapezoid, also known as a trapezium, is a closed shape having four sides,  in which one pair of lines is parallel.

To show trapezoid with only 1 pair of sides,

Solve with the help of options,

(a) In the given shape, both the pair of sides are parallel.

(b) In the given shape, one side is parallel, and defines the shape of trapezoid.

(c) in the given shape, not any side is parallel to other side.

(d) In the given shape,  both the pair of sides are parallel.

Option (b) is the only option that satisfies the given condition.

To know more about Trapezoid on:

https://brainly.com/question/16642484

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How do you graph y = (4 – x)(x + 2)?

Answers

Answer: look at the picture

Step-by-step explanation: hope this help

Rob hits ball 3 feet off the ground at an angle of 30 degrees with an initial velocity of 115ft/sec. Will the ball clear a 20 foot fence that is 300 feet from the home plate?

Answers

##################################

Find the value of x. 7 3
x=

Answers

Step-by-step explanation:

these are your answers anyways you're welcome bye bye

what does 1/2 x 2/3 equal

Answers

Answer:

9/2

Step-by-step explanation:

A ray can intersect a circle in __________.

1. a line segment
2. a line
3. a ray
4. a point

Answers

Answer:

a line segment.

Step-by-step explanation:

a line segment

A ray can intersect a circle at points on the circumference. Option D is correct.

What is a circle?

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²

where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.

Here,
A ray can intersect a circle at a maximum of two points,
The line which intersects the circle at two points is called the secant to the circle, and the line that intersects the circle at one point is called the tangent two the circle.

Thus, a ray can intersect a circle at points on the circumference. Option D is correct.


Learn more about circle here:

brainly.com/question/11833983

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