Which inequality represents the graph shown below?

Mathematics

2 answers:

WARRIOR [948]2 years ago

8 0

Answer:

Step-by-step explanation:

Details understood from the graph :

Open dot from starting point
Increases from -2

Hence,

Open dot means > or <
Greater means ⇒ >
The inequality is : <u>x > -2</u>

Serggg [28]2 years ago

4 0

Answer:

x>-2

since the arrow goes to the right from -2 it is definitely greater than -2. now see that the line does not include the value -2 itself.. thus, we say it is greater than -2

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Let the region R be the area enclosed by the function f(x)=ln(x) and g(x)= 1/2x-2. Find the volume of the solid generated when t

Neporo4naja [7]

Answer:

$V=61.66$

Step-by-step explanation:

This problem can be solved by using the expression for the Volume of a solid with the washer method

$V=\pi \int \limit_a^b[R(x)^2-r(x)^2]dx$

where R and r are the functions f and g respectively (f for the upper bound of the region and r for the lower bound).

Before we have to compute the limits of the integral. We can do that by taking f=g, that is

$f(x)=g(x)\\ln(x)=\frac{1}{2}x-2$

there are two point of intersection (that have been calculated with a software program as Wolfram alpha, because there is no way to solve analiticaly)

x1=0.14

x2=8.21

and because the revolution is around y=-5 we have

$R=ln(x)-(-5)\\r=\frac{1}{2}x-2-(-5)\\$