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3 years ago

What is the domain of d(y)=y+3

Mathematics

1 answer:

Lilit [14]3 years ago

8 0

D(y) is a linear function. Linear function's domain are all real numbers

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Solnce55 [7]

Answer:

pee

Step-by-step explanation:

i think its a carrot

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3 years ago

You are given the following equation.

saul85 [17]

Answer:

Step-by-step explanation:

Given the equation 4x²+ 49y² = 196

a) Differentiating implicitly with respect to y, we have;

$8x + 98y\frac{dy}{dx} = 0\\98y\frac{dy}{dx} = -8x\\49y\frac{dy}{dx} = -4x\\\frac{dy}{dx} = \frac{-4x}{49y}$

b) To solve the equation explicitly for y and differentiate to get dy/dx in terms of x,

First let is make y the subject of the formula from the equation;

If 4x²+ 49y² = 196

49y² = 196 - 4x²

$y^{2} = \frac{196}{49} - \frac{4x^{2} }{49} \\y = \sqrt{\frac{196}{49} - \frac{4x^{2} }{49} \\} \\$

Differentiating y with respect to x using the chain rule;

Let $u= \frac{196}{49} - \frac{4x^{2} }{49}$

$y = \sqrt{u} \\y =u^{1/2} \\$

$\frac{dy}{dx} = \frac{dy}{du} * \frac{du}{dx}$

$\frac{dy}{du} = \frac{1}{2}u^{-1/2} \\$

$\frac{du}{dx} = 0 - \frac{8x}{49} \\\frac{du}{dx} =\frac{-8x}{49} \\\frac{dy}{dx} = \frac{1}{2} ( \frac{196}{49} - \frac{4x^{2} }{49})^{-1/2} * \frac{-8x}{49}\\\frac{dy}{dx} = \frac{1}{2} ( \frac{196-4x^{2} }{49})^{-1/2} * \frac{-8x}{49}\\\frac{dy}{dx} = \frac{1}{2} ( \sqrt{ \frac{49}{196-4x^{2} })} * \frac{-8x}{49}\\\frac{dy}{dx} = \frac{1}{2} *{ \frac{7}\sqrt {196-4x^{2} }} * \frac{-8x}{49}\\$

$\frac{dy}{dx} = \frac{-4x}{7\sqrt{196-4x^{2} } }$

c) From the solution of the implicit differentiation in (a)

$\frac{dy}{dx} = \frac{-4x}{49y}$

Substituting $y = \sqrt{\frac{196}{49} - \frac{4x^{2} }{49} \\$ into the equation to confirm the answer of (b) can be shown as follows

$\frac{dy}{dx} = \frac{-4x}{49\sqrt{\frac{196-4x^{2} }{49} } }\\\frac{dy}{dx} = \frac{-4x}{49\sqrt{196-4x^{2}}/7} }\\\\\frac{dy}{dx} = \frac{-4x}{7\sqrt{196-4x^{2}}}$

This shows that the answer in a and b are consistent.

6 0

3 years ago

2x-y=3; x=2 how do I solve this

Solnce55 [7]

2x-y=3

use the substitution method

2(2)-y= 3

4-y= 3

move 4 to the other side

sign changes from +4 to -4

4-4-y= 3-4

-y= 3-4

-y=-1

mutiply both sides by -1 to get +y

(-1)(-y)= (-1)(-1)

y= (-1)(-1)

Answer: y= 1

8 0

3 years ago

A finales de 2017, 3.766.000 españoles no tenian trabajo Si el numero

Zanzabum

Answer:

Total number of unemployment in 2018 = 3,276,420

Step-by-step explanation:

Given:

Total number of unemployment in 2017 = 3,766,000

Decreased in unemployment = 13%

Find:

Total number of unemployment in 2018

Computation:

Total number of unemployment in 2018 = Total number of unemployment in 2017 - Decreased in unemployment

Total number of unemployment in 2018 = 3,766,000 - 13%

Total number of unemployment in 2018 = 3,276,420

5 0

2 years ago

What is 6 1/2 doubled?

aleksandrvk [35]

The answer is 13(6.5+6.5)

5 0

3 years ago

Read 2 more answers