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Leviafan [203]
3 years ago
15

Derive Sinxy = x² + 2xy​

Mathematics
1 answer:
bogdanovich [222]3 years ago
8 0

Answer:

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

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given

        sin xy = x² + 2xy ...(i)

Apply

       \frac{d}{dx} UV = U^{l} V + U V^{l}

     \frac{d}{dx} x^{n} = nx^{n-1}

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

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

      cosxy  (x\frac{dy}{dx} +y(1)) = 2x + 2( x\frac{dy}{dx} + y(1))

     cosxy  (x\frac{dy}{dx}) + ycosxy = 2x + 2( x\frac{dy}{dx}) +2 y)

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

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

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

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Which is larger 4m or 380 cm
ololo11 [35]
Well to first find this out, we need to set these up to a whole meter.

1 Centimeter = 1/100 meter (hence the prefix "centi").

4 meters = 4/1 meter.

It would take 400 centimeters to get 4 meters, as 100 centimeters = 1 meter.
Given that information, 380 centimeters is less than 400, so it is less than 4 meters.


4m is larger than 380cm.

I hope this helps!
6 0
3 years ago
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Can someone help me do this problem and explain it to me step by step? If so I’ll mark you brainliest
Advocard [28]

Answer:

-21

28

Step-by-step explanation:

1) if r = -4

Substitute r = -4 in 3r - 9

= 3 * (-4) - 9

= -12 - 9

= -21

2) ( 4 / 7 ) * x = 16

 4 * x = 16 * 7

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 x = 28

7 0
3 years ago
Please help. question in the photo!
Alja [10]

well, if m = 1, let's see, then f(x) = √(mx) = √(1x) = √x

and then g(x) = m√x = 1√x = √x

well, if both equations are equal, then their ranges are also equal.

now, if m = "any positive real number"

f(x) = √(mx)  = √m √x will yield some value over the y-axis

g(x) = m√x will yield some range over the y-axis, however, "m" is a larger value than "√m".

what that means is that so long "m" is a positive real number, the ranges of f(x) and g(x) will be the same over an infinite range on the y-axis, even though g(x) is moving faster than f(x), f(x) is moving slower because √m makes a stretch transformation which is smaller than one "m" does.

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3 years ago
Whats 7.273 divided by 6
Alex_Xolod [135]

Step-by-step explanation:

The number 7273 is called the numerator or dividend, and the number 6 is called the denominator or divisor.

The quotient of 7273 and 6, the ratio of 7273 and 6, as well as the fraction of 7273 and 6 all mean (almost) the same:

7273 divided by 6, often written as 7273/6.

Read on to find the result of 7273 divided by 6 in decimal notation, along with its properties.

6 0
2 years ago
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On his death, a wealthy businessman left R132 000 to charity. He declared that the money should be given to the following charit
Nutka1998 [239]

Answer:

The Reach for a Dream Foundation received R33000, NSPCA received R44000, and Smile received R55000.

Step-by-step explanation:

Total money for charity = R132,000

Ratio:

3 : 4 : 5

Charities:

The Reach for a Dream Foundation : NSPCA : Smile

x : y : z

3x + 4y + 5z = R132000

Charity 1 = Charity 2 = Charity 3

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The Reach for a Dream Foundation:

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NSPCA:

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Smile:

5(11000) = R55000

Double Check:

R33000 + R44000 + R55000 = R132000

7 0
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