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2 years ago

Find the domain and range of the function graphed below. Write your answers in interval notation.

Mathematics

1 answer:

Rudik [331]2 years ago

3 0

Answer:

Domain: $[-2, 3)$
Range: $(-5, 4]$
Is the relation a function? - Yes

Step-by-step explanation:

The domain is the set of x-values and the range is the set of y-values.

A relation is a function if each value of x maps onto no more than one value of y.

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Solve the following initial-value problem: (ex+y)dx+(3+x+yey)dy=0, y(0)=1 0=

alex41 [277]

Answer:

$e^x+xy+3y+(y-1)e^y=4$

Step-by-step explanation:

Given that

$(e^x+y)dx+(3+x+ye^y)dy=0$

Here

$M=e^x+y$

$N=3+x+ye^y$

We know that

M dx + N dy=0 will be exact if

$\frac{\partial M}{\partial y}=\frac{\partial N}{\partial x}$

$\frac{\partial M}{\partial y}=1$

$\frac{\partial N}{\partial x}=1$

it means that this is a exact equation.

$\int d\left(e^x+xy+3y+(y-1)e^y\right)=0$

Noe by integrating above equation

$e^x+xy+3y+(y-1)e^y=C$

Given that

x= 0 then y= 1

$e^0+0+3+(1-1)e^1=C$

C=4

So the our final equation will be

$e^x+xy+3y+(y-1)e^y=4$

3 0

3 years ago

How many megabytes of data can a 4.7 gigabyte dvd store?

dedylja [7]

The answer is 4700 megabytes.

1 giga = 1000 mega

1 gigabyte = 1000 megabyte
4.7 gigabyte = x megabyte

1 gb : 1000 mb = 4.7 gb : x
x = 1000 mb * 4.7 gb : 1 gb
x = 4700 mb

3 0

3 years ago

Dustin polled 127 drivers late on a Friday night.

Maslowich

Answer:

yes

Step-by-step explanation:

6 0

3 years ago

The ground temperature at sea level is 60 degrees F. For every 100-foot increase in elevation, the temperature rises 1/10 of one

N76 [4]

<h3>Answer: B. 62 degrees fahrenheit</h3>

====================================================

Explanation:

x = elevation in feet

y = temperature in fahrenheit

The temperature goes up 1/10 = 0.1 degrees for every 100-foot increase of elevation. So the slope is 0.1/100 = 0.001, which tells us how fast the temperature is increasing. In other words, the temperature goes up 0.001 degrees each time the elevation goes up by 1 foot.

The ground temperature is 60 degrees, which is our starting temperature. It's the value of y when x = 0. Therefore, 60 is the y intercept.

We have a slope of m = 0.001 and a y intercept of b = 60. The equation y = mx+b becomes y = 0.1x+60

Now plug in x = 2000 to find the temperature at this elevation

y = 0.001x+60

y = 0.001*2000+60

y = 2+60

y = 62

7 0

3 years ago

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Factor completely: 2x3 + 14x2 + 6x + 42

SOVA2 [1]

To factor all you do is...
Factor 2x3+14x2+6x+422x3+14x2+6x+42=2(x+7)(x2+3)Answer:2(x+7)(x2+3)

7 0

4 years ago

Read 2 more answers