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3 years ago

15

Determine whether the integral from -3 to infinity 1/sqrt (5 - x) is divergent or convergent. If it is convergent, evaluate it.

If not, state your answer as divergent .

1 answer:

BigorU [14]3 years ago

5 0

It's divergent because 1/√(5 - <em>x</em>) is defined only for <em>x</em> < 5, which means the integral from 5 to infinity doesn't exist.

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wariber [46]

Assuming you mean
$\lim_{x \to 4} \frac{\sqrt{x+5}-3}{4-x}$

that means as x approaches 4

if we sub 0 for x we get
0/0
and intermitent form
use l'hopital's rule

so
take the derivitive of the top and bottom seperatly
l'hopitals rule is something like
if $\lim_{x \to n} \frac{f(x)}{g(x)}$ results in 0/0 or -∞/∞ or∞/∞ then keep doing it until f(n)/g(n) gives a form that isn't intermitent

so

take derivitive of top and bottom
$\dfrac{\frac{1}{2\sqrt{x+5}}}{-1}$
now, if we subsitute 4 for x we get
$\dfrac{\frac{1}{2\sqrt{4+5}}}{-1}$ =

$\dfrac{\frac{1}{2\sqrt{9}}}{-1}$ =

$\dfrac{\frac{1}{2(3)}}{-1}$ =

$\dfrac{\frac{1}{6}}{-1}$ =

$\dfrac{1}{-6}=\dfrac{-1}{6}$

8 0

3 years ago

Round 768 to the nearest 10

algol13

770 because the 1 is higher than 5 so you round up

6 0

3 years ago

Read 2 more answers

Marizza181 [45]

Answer:

x = 81

Step-by-step explanation:

y = k√x

56 = k√49

56 = k(7)

Divide both sides by 7

8 = k

k = 8

------------------------

When y = 72

72 = 8√x

Divide both sides by 8

9 = √x

Square both sides

81 = x

x = 81

6 0

3 years ago

20 POINTS and Brainliest! ASAP, absolute value with explanation pls

solmaris [256]

I think the answer is A. If you use the values for each variable approximately a(2.2) or b(8.5) or c(3.7). You will find that the only way to get a number greater than the value of "a" is to have a value that is fairly high. Thus, if you substitute my values into the equation you will see that the answer is greater than "a". Hope this helped :))

7 0

3 years ago

Which graph represents the solution to the system of inequalities? y ≥ x – 5 y < –x + 4

Doss [256]

We want to solve the system of inequalities
y ≥ x - 5
y < -x + 4

The line y = x - 5 has
slope = 1
y-intercept = -5
x-intercept: x - 5 = 0 => x = 5

The line y = -x + 4 has
slope = -1
y-intercept = 4
x-intercept: -x + 4 = 0 => x = 4

Answer:
Graph the two lines and apply the inequalities as shown in the figure.
The shaded area is the solution region.

7 0

3 years ago