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labwork [276]
3 years ago
13

Find limit as x approaches two of quantity x squared minus four divided by quantity x minus two. You must show your work or expl

ain your work in words.
Mathematics
2 answers:
Alborosie3 years ago
7 0
^ or if youre not sure how to derive yet, just factor the (x^2 - 4) and you would have (x-2)(x+2)/(x-2). then cross out the (x-2)s from top and bottom then plug 2 in, which gives you 4 :)
Brut [27]3 years ago
3 0

Answer:

4

Step-by-step explanation:

lim           (x^2 - 4) / (x - 2)

x --> 2

When we plug x =2, we get

(2^2 - 4) / (2 - 2)

= (4 - 4)/(2 - 2)

= 0 /0

Which is undefined.

Now we have to use L'hospital rule. Which says we need to differentiate the numerator and the denominator and apply the limit.

When we differentiate x^2 -4, we get 2x

When we differentiate x -2, we get 1


lim        2x/1

x --> 2

Now apply, the limit x = 2

2(2)/1

= 4/1

= 4

Therefore, limit of this function is 4, when x tends to 2.

Hope you will understand the concept.

Thank you.

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The surface area of the solid is about ____ inches squared
Dafna11 [192]

Answer:

Surface area of the whole figure=  320.28inch^2

Step-by-step explanation:

The surface area of the figure :

Surface area of the cylinder(excluding top)+Surface area of the cone(excluding bottom)

Radius of the cylinder=3 inch     and  Height of cylinder=13 inch

Surface area of the cylinder with one circular face

                                    =2\pi rh+\pi r^2

As,     \pi =\frac{22}{7}= 3.14

   =(2*3.14*3*13)+(3.14*3*3)\\\\=244.92+28.26\\\\=273.18inch^2

Surface area of the cone excluding  base:

                =\pi *r*l

l= slant height=5 inch       r= radius= 3 inch

Surface area of the cone =3.14*3*5

                                        =47.1inch^2

Total surface area of the whole figure=273.18+47.1

                                                           =  320.28inch^2

5 0
3 years ago
This graph shows the solution to which inequality?
Verizon [17]

Answer:

Correct option is C)

given, y≥2x+1 and

y>

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x−1

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2 years ago
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Rohit wants to find the best model for a bivariate data set. He used a calculator to create a linear model, a quadratic model, a
san4es73 [151]

The answer is quadratic, I took the test.

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3 years ago
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The average distance from Jupiter to the sun is four hundred eighty-three million, six hundred thousand miles. Write the number
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483,600,000 miles

4 - hundred millions place

8 - ten millions place

3 - millions place

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3 years ago
Which of the sets of equations represent the two lines graphed?
Oksi-84 [34.3K]

Answer:

B) y = x + 2 and y = -x - 4

Step-by-step explanation:

Let the equation of a straight line with x-intercept 'a' and y-intercept 'b' be

\frac{x}{a}  +  \frac{y}{b}  = 1

The line with positive slope has x-intercept a=-2 and y-intercept b=2.

Its equation is:

\frac{x}{ - 2}  +  \frac{y}{2}  = 1

Multiply through by 2

- x + y = 2

Solve for y,

\boxed {y = x + 2}

For the line with a negative slope,

the x-intercept is a=-4 and the y-intercept is b=-4

Its equation is

\frac{x}{ - 4}  +  \frac{y}{ - 4}  = 1

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x + y =  - 4

Solve for y

\boxed {y =  - x - 4}

4 0
3 years ago
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