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dexar [7]
3 years ago
7

Someone please help with 19b

Mathematics
1 answer:
aev [14]3 years ago
6 0

Answer:

Its A.

Step-by-step explanation:

quick maths

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Topic/Objective: Function Applications pp. 228-252
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Graphing them and see what the difference is
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HELLLPPP me plzz<br> Just help me find the area of this.
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Step-by-step explanation:

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What is −5+(−5r)+10 =-5r+5
VikaD [51]

Answer:

Infinitely many solutions. Each real number is a solution of this equation.

Step-by-step explanation:

-5 + (-5r) + 10 = -5r + 5

5 - 5r = -5r + 5       <em>add 5r to both sides</em>

5 = 5   TRUE

7 0
3 years ago
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Solving separable differential equation DY over DX equals xy+3x-y-3/xy-2x+4y-8​
Ivanshal [37]

It looks like the differential equation is

\dfrac{dy}{dx} = \dfrac{xy + 3x - y - 3}{xy - 2x + 4y - 8}

Factorize the right side by grouping.

xy + 3x - y - 3 = x (y + 3) - (y + 3) = (x - 1) (y + 3)

xy - 2x + 4y - 8 = x (y - 2) + 4 (y - 2) = (x + 4) (y - 2)

Now we can separate variables as

\dfrac{dy}{dx} = \dfrac{(x-1)(y+3)}{(x+4)(y-2)} \implies \dfrac{y-2}{y+3} \, dy = \dfrac{x-1}{x+4} \, dx

Integrate both sides.

\displaystyle \int \frac{y-2}{y+3} \, dy = \int \frac{x-1}{x+4} \, dx

\displaystyle \int \left(1 - \frac5{y+3}\right) \, dy = \int \left(1 - \frac5{x + 4}\right) \, dx

\implies \boxed{y - 5 \ln|y + 3| = x - 5 \ln|x + 4| + C}

You could go on to solve for y explicitly as a function of x, but that involves a special function called the "product logarithm" or "Lambert W" function, which is probably beyond your scope.

8 0
2 years ago
A lake near the Arctic Circle is covered by a 2-meter-thick sheet of ice during the cold winter months. When spring arrives, the
Kaylis [27]

Answer:

The answer would be y-intercept and a point that is NOT an intercept

Step-by-step explanation:

To describe a point on the graph, we need a corresponding  

(x,y)(x,y)

(x,y)

left parenthesis, x, comma, y, right parenthesis

pair.

In our case, these are corresponding values of weeks since spring arrives and thickness of ice.

weeks since spring arrivedthickness of ice↓↓(x,y)\begin{aligned} \scriptsize\text{weeks since spring arrived}&\quad\scriptsize\text{thickness of ice} \\ \downarrow&\quad\downarrow \\ \large (x &,\quad\large y) \end{aligned}

weeks since spring arrived

↓

(x

​

thickness of ice

↓

,y)

​

To describe the slope of the graph, we need information about the rate of change of the relationship.

In our case, this is the rate at which the thickness of ice changes over time (in meters per week).

Hint #2

2 / 4

The ice is  

22

2

2

meters thick at the start of spring, when  

00

0

0

weeks have passed. This corresponds to the point  

(0,2)(0,2)

(0,2)

left parenthesis, 0, comma, 2, right parenthesis

and is a  

yy

y

y

-intercept.

Hint #3

3 / 4

After  

33

3

3

weeks, the sheet is only  

1.251.25

1.25

1, point, 25

meters thick. This corresponds to the point  

(3,1.25)(3,1.25)

(3,1.25)

left parenthesis, 3, comma, 1, point, 25, right parenthesis

and is not an intercept.

Hint #4

4 / 4

The  

yy

y

y

-intercept and a point that is not an intercept is given

7 0
3 years ago
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