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tatiyna
3 years ago
13

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

8 0
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
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