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2 years ago

Please help. Flow chart proof. I'll give brainliest

Mathematics

1 answer:

Vlada [557]2 years ago

5 0

Answer:

Step-by-step explanation:

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Find the derivative in the form dy/dx

bezimeni [28]

ANSWER

$\frac{dy}{dx} = x{(3x)}^{ {x}^{2} } (ln(9 {x}^{2} ) + 1)$

EXPLANATION

The given equation is;

$y = {(3x)}^{ {x}^{2} }$

Take natural log of both sides:

$ln(y) = ln({(3x)}^{ {x}^{2} } )$

This implies that,

$ln(y) = {x}^{2} ln({(3x)})$

We differentiate to get,

$\frac{1}{y} \frac{dy}{dx} = ln(3x) (2x) + {x}^{2} ( \frac{1}{x} )$

This simplifies to

$\frac{dy}{dx} =y (2x ln(3x) + x)$ We substitute for y to get:

$\frac{dy}{dx} = {(3x)}^{ {x}^{2} } (2x ln(3x) + x)$

$\frac{dy}{dx} = x{(3x)}^{ {x}^{2} } (2ln(3x) + 1)$

$\frac{dy}{dx} = x{(3x)}^{ {x}^{2} } (ln(9 {x}^{2} ) + 1)$

6 0

2 years ago

Rounding or compatible numbers to estimate the difference. 762-332

Lubov Fominskaja [6]

Rounding to the nearest ten 760-330

4 0

3 years ago

What is the ratio of 14 by 8 1/2 when the answer says _ to 1?

bearhunter [10]

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5 0

2 years ago

An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, t

irina1246 [14]

Answer:

63.7 inches

Step-by-step explanation:

half the base is 9 inches, so the equal legs are each

L = √(9² +21²) = 22.8473...

Perimeter = 2(22.8473) + 18 = 63.6946... ≈ 63.7 inches.

3 0

2 years ago

For a given input value x, the function h outputs a value y to satisfy the following equation 6x+y=4x+11y. Write a formula for h

Tanzania [10]

Answer: h(x) = $\frac{1}{5}x$

Step-by-step explanation:

6x + y = 4x + 11y

-y -y

6x = 4x + 10y

-4x -4x

2x = 10y

÷10 ÷10

$\frac{1}{5}x$ = y

Since "y" represents h(x), then h(x) = $\frac{1}{5}x$

5 0

3 years ago