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3 years ago

I need help finding what x is

Mathematics

1 answer:

STatiana [176]3 years ago

3 0

Sorry I really can’t see the picture

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The first derivative of x^2+2y^2=16 is -x/(2y), the second is -(2y^2+x^2)/(4y^3). Find the third implicit derivative of x^2+2y^2

gtnhenbr [62]

Answer:

d³y/dx³ = (-2xy² − 3x³ − 4xy²) / (8y⁵)

Step-by-step explanation:

d²y/dx² = (-2y² − x²) / (4y³)

Take the derivative (use quotient rule and chain rule):

d³y/dx³ = [ (4y³) (-4y dy/dx − 2x) − (-2y² − x²) (12y² dy/dx) ] / (4y³)²

d³y/dx³ = [ (-16y⁴ dy/dx − 8xy³ − (-24y⁴ dy/dx − 12x²y² dy/dx) ] / (16y⁶)

d³y/dx³ = (-16y⁴ dy/dx − 8xy³ + 24y⁴ dy/dx + 12x²y² dy/dx) / (16y⁶)

d³y/dx³ = ((8y⁴ + 12x²y²) dy/dx − 8xy³) / (16y⁶)

d³y/dx³ = ((2y² + 3x²) dy/dx − 2xy) / (4y⁴)

Substitute:

d³y/dx³ = ((2y² + 3x²) (-x / (2y)) − 2xy) / (4y⁴)

d³y/dx³ = ((2y² + 3x²) (-x) − 4xy²) / (8y⁵)

d³y/dx³ = (-2xy² − 3x³ − 4xy²) / (8y⁵)

8 0

3 years ago

Read 2 more answers

What is y=3/8x-5<br> in a table of values

iogann1982 [59]

It is 8x-5 you replace the variable y with 3 in the expression
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6 0

3 years ago

PLEASE HELP ME OUT..........

Vlad1618 [11]

Here is your answer

$\bold{x=12}$

REASON:

$Concept used$ : The opposite sides of a parallelogram are equal.

So, in above given figure

$3x+7=5x-17$ (measures of opposite sides)

$5x-3x= 17+7$

$2x= 24$

$x= 24/2$

$x= 12$

HOPE IT IS USEFUL

6 0

3 years ago

Read 2 more answers

Find the domain of the function f (x) = 2/x-4 + 1/x+2

Andreas93 [3]

As written, the denominator in both fractions is x, so the only restriction on the domain is ... x ≠ 0.

_____

We suspect you intend ...

... f(x) = 2/(x-4) +1/(x+2)

which is undefined when x = 4 or x = -2.

The domain is all real numbers except -2 and 4.

6 0

3 years ago

PYTHAGOREAN THEOREM IN 3D URGENT PLEASE PHOTO INSERTED

Andrews [41]

To find the length of the diagonal, we need to calculate the length of the base first and then use the value to calculate the diagonal since we are given the value of height of the triangle.

<h3>Pythagorean Theorem</h3>

This theorem is used to find the missing side of a right angle triangle given that we have the length of two sides.

To calculate the base of the triangle, let's use Pythagorean theorem here

$x^2 = y^2 + z^2\\x^2 = 2^2 + 3^2\\x^2 = 4 + 9 \\x^2 = 13\\x = \sqrt{13} \\x = 3.61$

Having the length of the base, let's consider the height of the triangle which is 6 and substitute the values.

$d^2 = 6^2 + 3.61^2\\d^2 = 36 + 13.0321\\d^2 = 49.0321\\d = \sqrt{49.0321} \\d = 7.00$

From the calculations above, the values of the triangle are

diagonal = 7
base = 3.61
height = 6

Learn more on pythagorean theorem here;

brainly.com/question/231802

#SPJ1

7 0

1 year ago

I need help finding what x is​

I need help finding what x is