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3 years ago

What is the derivative of this? Dy/dx=x^2y+y^2x

Mathematics

1 answer:

Anon25 [30]3 years ago

6 0

Answer:

y^2+2xy/-x^2-2xy OR -y^2-2xy/x^2+2xy OR -y^2-2xy/(x)(x+2y)

Step-by-step explanation:

So, this is an implicit differentiation problem

x^2y+y^2x

so,

use product rule for both

x^2y'+2xy+y^2+2yy'x

collect all the y's

-x^2y'-2xyy'=y^2+2xy

y'(-x^2-2xy)=y^2+2xy

=y^2+2xy/-x^2-2xy

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Complete the pattern 9.5 950 95,000

Sati [7]

9,500,000 is the next number in the pattern. Each time you multiply the number on the left by 100 to get the number on the right.

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3 years ago

Pls do 2 3 4 a and b

kirza4 [7]

Answer:

2.a)11.355 b)0.94625

3. divide 6 by 4

4. 0.8kg, 800g

Step-by-step explanation:

To convert one measurement to another you need to set it up so that the old measurement gets cancelled out when you multiply the conversion ratio.

2a) $\frac{3 gallons}{1} *\frac{3.785 milliliters}{1 gallon}=11.355 milliliters$ the gallons on top and bottom get cancelled out leaving you with the measurement that you want

2b) $\frac{1quart}{1} *\frac{1 gallon}{4 quarts} *\frac{3.785 milliliters}{1 gallon} = 0.94625 milliliters$

3) $\frac{x}{y} \frac{6 quarts}{1} *\frac{1 gallon}{4 quarts} = 1.5 gallons$

4) $\frac{28 ounces}{1} *\frac{1 kilogram}{35 ounces} = 0.8 kilograms$

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7 0

3 years ago

What is the percent increase rounded to the nearest percent ,from 5 to 8

krok68 [10]

The increase from 5 to 8 was by 60%.

5 0

3 years ago

Determine the equation of the circle graphed below. ( please help me )

Brums [2.3K]

Answer:

$Equation : \\(x+3)^2 + ( y -2)^2 = 36$

Step-by-step explanation:

For standard form the circle's equation we need the centre of the circle and the radius.

Step 1: Find the centre

If the centre is not given find the end points of the diameter

and then find the mid point.

Let the end points of the diameter be : ( - 3 , 8 ) and ( -3 , -4 )

The mid-point of the diameter is :

$Mid-point = (\frac{-3 + - 3}{2}, \frac{-4+8}{2}) = (-3, 2)$

Therefore, centre of the circle = ( -3 , 2 )

Step 2 : Find radius

$Radius = \frac{Diameter }{2}$

Diameter is the distance between the end points ( -3 , 8) and ( -3 , -4 )

That is ,

$Diameter = \sqrt{(-3-(-3))^2 + ( -4 -8)^2}\\$

$= \sqrt{(-3 + 3)^2 + (-12)^2}\\\\=\sqrt{0 + 144}\\\\=12$

Therefore ,

$Radius = \frac{12}{2} = 6$

Step 3 : Equation of the circle

Standard equation of the circle with centre ( h ,k )

and radius ,r is :

$(x - h)^2+(y -k)^2 = r^2$

Therefore, the equation of the circle with centre ( -3, 2)

and radius = 6 is :

$(x - (-3))^2 + (y - 2)^2 = 6^2\\\\(x + 3)^2 + (y - 2)^2 = 36$

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2 years ago

How much water will be needed to completely fill a rectangular tank that has a length of 3 meters a width of 3 meters

IgorC [24]

Answer:

Step-by-step explanation:

because when you multiply 3x3 (the base) times 18(the height) you get= 162

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3 years ago