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3 years ago

Which function increases at a faster rate on 0 to infinity, f(x)=x^2 or g(x)=2^x

Mathematics

1 answer:

3241004551 [841]3 years ago

6 0

G(x) = 2^x is an exponential function and it increases at a faster rate.

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Determine whether the improper integral converges or diverges, and find the value of each that converges.

Temka [501]

Answer:

It diverges.

Step-by-step explanation:

We are given the inetegral: $\int\limits^{\infty}_2 \frac{1}{x} (\ln x)^2 dx$

$\int\limits^{\infty}_2 \frac{1}{x} (\ln x)^2 dx=\int\limits^{\infty}_2 (\ln x)^2 d(\ln x)=\\\\=\lim_{t \to \infty} \int\limits^t_2 (\ln x)^2d(\ln x)=\lim_{t \to \infty} \frac{(\ln t)^3}{3} |^t_2=\infty-\frac{(\ln 2)^3}{3} =\infty$

So it is divergent.

7 0

3 years ago

What is the equation to the expression -2-3(-4)?

RoseWind [281]

Answer:

c) -1

Step-by-step explanation:

-2-3-(-4)

=-5+4

=-1

8 0

3 years ago

If M∠ ABD =64 and M∠CBD=30 then M∠ABC= <br> Need help

Leno4ka [110]

Answer:

$\displaystyle m\angle ABC = 34^\circ$

Step-by-step explanation:

∠ABD is the sum of the angles ∠ABC and ∠CBD. In other words:

$\displaystyle m\angle ABD = m\angle ABC + m\angle CBD$

Substitute in known values:

$\displaystyle \left(64^\circ\right) = m\angle ABC + \left(30^\circ\right)$

And subtract. Hence:

$\displaystyle m\angle ABC = 34^\circ$

In conclusion, ∠ABC measures 34°.

4 0

2 years ago

What is the perimeter of this polygon? Round your answer to the nearest<br> tenth

bulgar [2K]

Answer:

Step-by-step explanation:

pythagorean theorem

A^2+B^2=C^2 do that for all sides then add

6 0

2 years ago

Read 2 more answers

|3y-1|>5<br> Solve the absolute value inequalities by making a compound inequality

Fantom [35]

Hi there!

We can begin by solving the inequality using the positive and negative terms:

3y - 1 > 5

Add 1 to both sides:

3y > 6

Divide both sides by 3:

y > 2

Now, solve the negative:

-(3y - 1) > 5

Distribute the -1:

-3y + 1 > 5

Subtract 1 from both sides:

-3y > 4

Divide both sides by -3. REMEMBER to flip the sign.

y < -4/3

'y' has to be LESS than -4/3 and greater than 2, so:

y < -4/3, y > 2

7 0

2 years ago