Integrate:–
[tex]\Huge{{\large{∫} \frac{dx}{ \sqrt{x \sqrt{x} - x {}^{2} } }}}[/tex]

Answers

Answer 1

9514 1404 393

Answer:

  4arcsin(x^(1/4)) +C

Step-by-step explanation:

Let x = z^4. Then dx = 4z^3·dz, and the given expression is ...

  [tex]\displaystyle\frac{dx}{\sqrt{x\sqrt{x}-x^2}}=\frac{4z^3\,dz}{\sqrt{z^4z^2-z^8}}=4\cdot\frac{dz}{\sqrt{1-z^2}}[/tex]

and its integral is ...

  [tex]\displaystyle\int{\frac{4\,dz}{\sqrt{1-z^2}}}=4\arcsin{(z)}+C=\boxed{4\arcsin{\sqrt[4]{x}}+C}[/tex]

__

Note that the original integrand is only defined on the interval (0, 1).


Related Questions

hello please help i’ll give brainliest

Answers

Answer:

Landslide

Step-by-step explanation:

As,

Landslide, also called landslip, the movement downslope of a mass of rock, debris, earth, or soil (soil being a mixture of earth and debris).

Landslides occur when gravitational and other types of shear stresses within a slope exceed the shear strength (resistance to shearing) of the materials that form the slope.

Answer:

Landslide                              

Hope this helps. Plz give brainliest

Like this is this correct or wrong

Answers

Answer:

move the blue rectangle when the blue rectangle's bottom left corner meets the bottom left corner of the grid

Step-by-step explanation:

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

no, the bottom left corner of the blue rectangle has to be on point (0,0)

Step-by-step explanation:

SOMEONE PLEASE HELP ME ASAP 15 POINTS

Answers

Answer:

The answer is B.  x=-3 and x=-1

Step-by-step explanation:

got it right

Based on the graph below, what is the solution of the equation f(x) = g(x)?

Answers

Answer:

1st option

Step-by-step explanation:

The solution to f(x) = g(x) is at the points of intersection of the 2 graphs

The graphs intersect at

x = - 3.5 and x = - 0.5 ← solutions

Noah buys 3 packages of pens each package has four blue pens and two black pens which equation can be used to find p

Answers

Answer:

p = 3*[ 4p+ 2p]

Step-by-step explanation:

Total number of pens = 3 times [ 4 blue pens + 2 black pens]

If we denote the total number of pens by p then the equation becomes

p = 3*[ 4.blue + 2black]

p = 12p+6p

p = 18p

There are total 18 pens out of which 12 pens are blue and 6 pens are black.

y=x^2-3, what is your y value when x=4​

Answers

Answer:

13

Step-by-step explanation:

4^2 is 16

16-3=13

that's all that you have to do you replace the x with 4 and do a normal equation

Answer: y=13

Y=(4)^2-3

y=16-3

y=13

Type the correct answer in each box.

Consider circle O, where mBD =70° and mCA = 170°

m∠BPD: ____°.

mBC + mAD = ____°.

Answers

Answer:

m∠BPD: 120°

mBC + mAD =120°

Step-by-step explanation:

m∠BPD: 120°mBC + mAD =120°What is angle?

A figure which is formed by two rays or lines that shares a common endpoint is called an angle.

Given:

mBD =70°

mCA = 170°

So,

m∠BPD= 1/2( (m∠BD + m∠CA))

=1/2(170+70)

=1/2*240

=120

and,

mBC + mAD = 360 - ( 70 + 170 )

                    = 360 - 240

mBC + mAD = 120°

Learn more about this concept here:

https://brainly.com/question/9212605

#SPJ2

I will give brainly

y=[ ? ]°
z
V 48Wx

Answers

Answer:

y=42 degree

Step-by-step explanation:

90+y+48=180

138+y=180

y=180-138

y=42

Answer:

Step-by-step explanation:

In the lower triangle, the top angle is also 90 degrees, so just add 90 +48 = 138 and subtract from 180. Y= 42 degrees.

please help asap!

All of the letters of MISSISSIPPI are put in a bag. What is the probability of selecting an M and then after not replacing the letter, selecting a P?

Answers

Answer:

2/110

Step-by-step explanation:

Picking the letter M is 1/11 because there is 1 letter M in the 11 letters of the word.

Selecting a P is 2/10 because there are 2 letter P's in the 10 letters( Letter M was taken out)

Multiply the 2 fractions

1/11 x 2/10 = 2/110

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

like a 9% chance to pull an m and then a 10% of selecting p

i need help pls! i’m kinda
s t u p i d! lol

Answers

the answer is b or no
i hope this helped

20.
A soccer ball is kicked upward from the ground with a speed of 96 feet per second. Its height h, in feet, after t seconds is given by the equation h(t) = -16² +96t.
HCL many seconds will it take the soccer ball to reach its maximum height?

Answers

Answer:

After 3 seconds

Step-by-step explanation:

Given

[tex]h(t) = -16t^2 + 96t[/tex]

Required

Seconds to attain maximum height

The maximum of a quadratic function [tex]y = ax^2 + bx + c[/tex] is calculated using:

[tex]x = -\frac{b}{2a}[/tex]

So, we have:

[tex]t = -\frac{b}{2a}[/tex]

Where:

[tex]a = -16[/tex] and [tex]b = 96[/tex]

So:

[tex]t = -\frac{96}{2 * -16}[/tex]

[tex]t = -\frac{96}{-32}[/tex]

Cancel out negatives

[tex]t = \frac{96}{32}[/tex]

[tex]t = 3[/tex]

Solve for a and b in the following circles:
B)
a а
b
82°

Answers

Answer:

a 41

when the line touch the circle you have to take the half of it

for b its equal 144

the full circle degree is 360

so we can say the 82+2x=360

because the two lines in the circle equal each other so its means tha the Piece of the circle in the left is equal b too

hopefully its helpful and sorry because of my engilish

Is
X 10 11 12
Y 18 18.6 19.2 proportional or non proportional

Answers

Given:

The table of values.

To find:

Whether the given table is a proportional or non proportional relation.

Solution:

If y is proportional to x, then

[tex]y\propto x[/tex]

[tex]y=kx[/tex]

[tex]\dfrac{y}{x}=k[/tex]

Where, k is the constant of proportionality.

Find the value of k for each ordered pairs in table. If the value of k is constant, then the relation is proportional.

The ordered pairs from the table are (10,18), (11, 18.6), (12,19.2). The values of k for each ordered pair is:

[tex]\dfrac{18}{10}=1.8[/tex]

[tex]\dfrac{18.6}{11}\approx 1.69[/tex]

[tex]\dfrac{19.2}{12}=1.6[/tex]

Since the value of k is not constant, therefore the given table represents a non proportional relationship.

Find x in the image above

Answers

Answer:

3.96

Step-by-step explanation:

3.3÷5=0.66

6×0.66=3.96

Find the value of y.

Answers

10
Below is how I did it

Help me with this please!!!!!!!!!

Answers

Answer:

d = 17.58

Step-by-step explanation:

d = √(x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2

P1(0, 0, 0) P2(8, 7, 14)

Substitute the values in the above equation and you will get

d = √(8 - 0)^2 + (7 - 0)^2 + (14 - 0)^2

= √(64 + 49 + 196)

= √309

= 17.58

Answer:

The answer is 17.58

Which expression is equivalent to 2(-3x+5)?
A.-6x+5
B.-6x+10
C.6x-10
D.6x-5

Answers

B if you’re doing distributive property

Answer:

B

Step-by-step explanation:

2(-3x + 5)

2*-3x = -6x

2* +5 = 10

Therefore equation is = -6x+10

Plz, help me ASAP!! NO FILES period!

Answers

Answer:

Step-by-step explanation:

what do u need help with

Answer:

simplify expression

Step-by-step explanation:

1-9/7n

Which of the following could be the shape of a person base elect all that apply
1. Triangle
2. Hexagon
3. Circle
4. Pentagon
5 square

Which of the following objects is made up of two circular bases and a lateral surface
A. Cylinder
B. Triangular Pyramid
C. Cone
D. Sphere

Answers

[tex]circle cylinder}[/tex]

here is ur answer dear

Answer:

the answer is cylinder i think

Step-by-step explanation:

A box contains 95 pink rubber bands and 90 brown rubber bands. You select a rubber band at random from the box. Find each probability. Write the probability as a fraction in simplest form.

Find the theoretical probability of selecting a pink rubber band.

Answers

Answer:A. The theoretical probability for pink is 95/185 or about 51.35%

B. The theoretical probability for brown is 90/185 or about 47.82%.

C. To find the experimental probability, we will make another fraction. The number of outcomes will be the numerator and the total will be the denominator.

Pink  36/69 = 52.17%

Brown  33/69 = 47.82%

Step-by-step explanation:

A laptop computer is purchased for $2000. After each year, the resale value decreases by 25%. What will the resale value be after years?
Use the calculator provided and round your answer to the nearest dollar.

$[]

Answers

Answer:

2000? ... assume $2000

Resale Value = $2000*(1 - 0.25)t/yr

where: t = number of year after purchase

at t = 3 yr

Resale Value = $2000*(1 - 0.25)3 = $843.75

checking: at t = 0 $2000 (purchase price)

at t = 1 yr $2000 - 0.25*$2000 = $2000 - $500 = $1500

at t = 2 yr $1500 - 0.25*$1500 = $1500 - $375 = $1125

at t = 3 yr $1125 - 0.25*$1125 = $1125 - $281.25 = $843.75

The solid below was made by cutting a cone-shaped hole out of a cylinder. The surface area of the resulting composite solid is square cm. Write your answer in terms of pi.

Answers

*see attachement below for the diagram

Answer:

(252π + 20) cm²

Step-by-step explanation:

The surface area of the resulting solid = curved surface area of the cylinder + area of 1 base of the cylinder + 2(slant height of the cone)

✔️Curved surface area of cylinder = 2πrh

r = ½(12) = 6 cm

h = 18 cm

C.S.A = 2*π*6*18 = 216π cm²

✔️Area of 1 base = πr²

r = ½(12) = 6 cm

Area = π*6²

Area = 36π

✔️Slant height of the cone = 10 cm

✅The surface area of the resulting solid = 216π + 36π + 2(10)

= (252π + 20) cm²

State if the triangle is acute, obtuse, or right.

A) Acute
C) Right
B) Obtuse

Answers

Answer:

It’s a acute angle!

Answer:

gg

Step-by-step explanation:

gg

hello! answer Pls, No links.. (13 points and brainiest if i can).

Answers

5. Is 1
___
8

6. 4
___
18

7. 9
——
16

Which of the following best describes Y on the scatter plot below?


A.
positive association
B.
outlier
C.
cluster
D.
nonlinear association

Answers

B
The anwser is Outlier

Consider the expression 16 - 4 × 3 + 7. 2a. Use parentheses to rewrite the
expression so that it equals 11.

. Use parentheses to rewrite the expression so that it equals 120.

Answers

Step-by-step explanation:

Consider the expression 16 - 4 × 3 + 7. 2a. Use parentheses to rewrite the

expression so that it equals 11.

. Use parentheses to rewrite the expression so that it equals 120.Consider the expression 16 - 4 × 3 + 7. 2a. Use parentheses to rewrite the

expression so that it equals 11.

. Use parentheses to rewrite the expression so that it equals 120.

Gina Miss 12 out of 100 questions on her final what ratio of the question did she get correct?​

Answers

Answer:

Step-by-step explanation:

100 - 12 = 88

88:100

22:25

Answer:

88

Step-by-step explanation:

12-100=

88

I hope this helped

2. Factor the quadratic expression completely: 3x2 - 4x + 21
a. (3x + 7)(x + 3)
b. (x-7)(3x – 3)
c. (x - 3)(3x - 7)
d. cannot be factored

Answers

I’m gettin ripped tonight RIP that AYEEEE but the answer is C. (x - 3)(3x - 7)

imma leave the door opennnnnn​

Answers

Answer:

Lol

Step-by-step explanation:

Wdym?

OKKKKKKKKKKKKKKKKKKKKK

A diagram of a coin is shown.
10.5 mm
What is the approximate circumference of the coin? Use 3.14 as an estimate for it.
O A 21 mm
O B. 33 mm
O c. 66 mm
O D. 84 mm

Answers

Answer:

66mm

Step-by-step explanation:

A diagram of a coin is shown.

Radius = 10.5 mm

The approximate circumference of the coin is calculated using the formula

2πr

Use 3.14 as an estimate for it.

r = 10.5mm

Hence:

2 × 3.14 × 10.5

= 65.94

Approximately = 66mm

O A 21 mm

O B. 33 mm

O c. 66 mm

O D. 84 mm

Other Questions
Which of the following lines represents the line of best fit for the scatter plot?AB100+C80.60....4020020100A Which detail best supports the main idea "Food companies createadvertisements that appeal to kids"?O A. People are starting to see the harm these companies can do.B. About one out of every three young people in the country weighstoo much.O c. Companies use film stars, like Shrek, or toys to sell food.O D. Companies are free to choose which foods to sell. Helppppppppppppppppp reasons for eating animals. How many moles of oxygen are required to produce 4.62 moles of carbon monoxide that is formed by direct combination of its elements? The quadratic formula is Pls help no links pls 1The power 3-3 equals27Which expression is equivalent to 3-3?132OO- lol1 An oil-refinery company is looking for a location for their business. Which state would be the best location for their business? Near the rust belt region of Ohio Near the copper mining region of Montana Near the corn belt region of Nebraska Near the oil rich region of Oklahoma pls write a limerick about school for me it doesnt matter how simple it is just make it about school or life plsss and thanks i will give the best one brainliest This dot plot is not symmetric, and the data set has twoextreme values..2346789 10What is the best measure of center for this dot plot?A. The medianB. The meanC. The mean absolute deviation (MAD)D. The interquartile range (IQR) Which can be represented by the expression 17 2x? A. 17 less than twice a number B. the difference between 17 and twice a number C. a number x squared, subtracted from 17 D. 17 less than a number x squared 17. Calculate the profit and loss percent if CP is RS 480 andSP is RS420 Which of the following is an example of a renewable resource?natural gascoaloiltrees Please help me!!!!!!!!!!!! An astronaut weighs 200 N on the Moon where gravity is 1.62 m/s/s. Find his weight on Earth. HELP PLEASE FAST how do i reflect over the line x=-1 and y=2? It moves in a straight line starting from rest. It travels with a constant acceleration for 3 seconds reaching a velocity of 4 m/s. Then it slows down with a constant deceleration of 0.5 m/s squared for 4 seconds before stopping what is the total distance travelled by the toy car? help it is due today and not links or files of downloads of anything like that just type in your answer plz and thank u :) which kind of budget will cause the largest increase in a country's national debt