Find area of the region under the curve y=9−3x^2 and above the x-axis.

Find Area Of The Region Under The Curve Y=93x^2 And Above The X-axis.

Answers

Answer 1

Answer:

A = 12√3

Step-by-step explanation:

first find the limits by finding the zeros

0 = 9 − 3x²

3x² = 9

x² = 3

x = ±[tex]\sqrt{3}[/tex]

[tex]A = \int\limits^a_b ({9 - 3x^2\\}) - 0\, dx[/tex]

where b = [tex]-\sqrt{3}[/tex] and a = [tex]\sqrt{3\\}[/tex]

A = 9x - x³ [tex]\left \{ {{\sqrt{3} } \atop {-\sqrt{3} }} \right.[/tex]

[tex]A = 9\sqrt{3} - \sqrt{3} ^3 - (9(-\sqrt{3)} - (-\sqrt{3} )^3)[/tex]

[tex]A = 9\sqrt{3} -3\sqrt{3} +9\sqrt{3} - 3\sqrt{3}[/tex]

[tex]A = 12\sqrt{3}[/tex]

Find Area Of The Region Under The Curve Y=93x^2 And Above The X-axis.

Related Questions

Tìm nghiệm tổng quát của các phương trình
y"+2y'-3y=0

Answers

Answer:

y € R i guess

Step-by-step explanation:

I hope it correct

If x = 6, what is the value of 3x2 - 13?

Answers

Answer:

the answer should be 95

Step-by-step explanation:

hope this helps!❆

Answer:

value is 95

Step-by-step explanation:

if x = 6

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

3x² - 133(6²) - 133(36) - 13108 - 1395

value of 3x2 - 13 is 95

A rectangle has a perimeter of 270cm and its length is 2½cm times its width find its width​

Answers

Answer:

Width = 38.57cm

Step-by-step explanation:

Perimeter = 270cm

Let x be the width, so

Length = 2 1/2 x = 5x/2

Perimeter of Rectangle = 2(length + width)

270cm = 2(5x/2 + x)

270 = 5x + 2x

7x = 270

x = 38.571 cm

Therefore, the width is 38.57cm (rounded to 2nd decimal place)

Answer:

width = 38.6 cm (approx.)

Step-by-step explanation:

let the width be x cm, so that the length is 2.5x cm.

Perimeter = 2 (length + width)

2 (length + width) = 270 cm

or, 2 (2½x cm + x cm) = 270 cm

or, 3½x cm = 270/2 = 135 cm

or, x = 270/7 cm = 38.6 cm (approx.)

Geoff works at a warehouse , earning $17.50 per hour plus a $200 what’s the equation?

Answers

Answer:

P = 17.50x + 200

Step-by-step explanation:

x is the number of hours worked

P is how much money Geoff earns

Find the perimeter of a semicircle with a radius of 9 in.
Please explain and be accurate.

Answers

Answer:

9π + 18

Step-by-step explanation:

The circumference of a circle is pi times diameter, so 9 x 2 = 18 inches, which is the diameter. That will be the flat side of the semicircle. Then the circumference of the whole circle will be 18π. To find the curved side of the semi-circle, divide this by 2, so you get 9π. Therefore the answer is 9π + 18. The rough answer to 3 decimal places is 46.274

Find the Values of X and Y
X=
Y=

Answers

Answer:

14 and 12

Step-by-step explanation:

(5 + 16) = 7 + (4 x 7) =
Bidmass

Answers

Answer:

(5 + 16)=7 + (4 x 7)

Step by step - explanation:

Solve:

Add the numbers

(5 + 16)= 21.

(4 x 7) = 28 + 7 = 35.

So the result is 21 = 35.

Hope that helps. x

Answer:

Step-by-step explanation:

(5+16)=7+(4.7)

(21)=7+(4.7)

21=7+(4.7)

21=7+(28)

21=7+28

21=35

Answer: 21=35

What is the perimeter of the triangle?

Answers

Answer:

L1 + L2 + L3 = perimeter

Step-by-step explanation:

You add each side of the triangle together.

Answer:

L1+L2+L3

Step-by-step explanation:

You add all the sides of the triangle to get the perimeter

7 1/2 divided by 2 1/2

Answers

Answer:

3

Step-by-step explanation:

rotate segment AE about point F 144 degrees

Answers

Answer:

DC

Step-by-step explanation:

If we rotate a segment around a point 360 degrees, we have rotated it around to its original point. Similarly, if we rotate it 180 degrees, we have rotated it to the side opposite of where it once was relative to the point.

What we can do is see how much 144 degrees is of 360 and use that to determine how far around we rotate AE around F.

144/360

divide by 12 because that is a common factor of both the numerator and denominator

12 / 30

divide by 2 because that is a common factor

6/15

divide by 3 because that is a common factor

2/5

Therefore, 144/360 = 2/5. This means that we rotate segment AE 2/5 of the way around point F. We have 5 sides in the polygon ABCDE, and each represents 1/5 of the way around. Going counterclockwise, ED represents 1/5, DC represents 2/5, and so on. We are looking for 2/5, so DC is our answer

Fill in the blanks to solve this equation

Answers

Answer:

                                     

Step-by-step explanation:

If PQ =13 and PR = 18, what is QR?

Answers

Answer:

QR is equal to 5 since 13 is 5 less that 18. So since 13 was already taken, that leaves 5

x+3y=-5
4. Tyler and Han are trying to solve this system by substitution:
Tyler's first step is to isolate x in the first equation to get x = -5 - 3y. Han's first step
is to isolate 3y in the first equation to get 3y = -5 - X.
Show that both first steps can be used to solve the system and will yield the same
solution.

Answers

Answer:

Tyler's - (-5 - 3y) + (3y) = -5

Han's - (x) + (-5 - x) = -5

Step-by-step explanation:

If we are going to use Tyler's first step then we would use x = - 5 - 3y and substitute it in the original simultaneous equation x + 3y = -5, becoming (-5 - 3y) + (3y) = - 5 giving an exact answer of - 5.

But if we are using Han's first step then we will still substitute into the original simultaneous equation but in 3y. It would become

x + (-5 - x) = - 5 which also gives us an exact answer of -5.

Thus proving that both first steps show the same solution of -5.

(a) 95% of what is 57?

(b) What number is 35% of 40?

Answers

Answer:

a=54.15 and b=14

Step-by-step explanation:


When using a ruler, where is the unit?
- The tick marks on the ruler.

- The space between the tick marks on the ruler.

-The numbers on the ruler.

Answers

Answer:

Is it The numbers on the ruler?

Step-by-step explanation:

Simplify -3(-4x + 2)

Answers

Step-by-step explanation:

12x - 6 is your answer in simplified form

One-half of one-seventh of T equals one-third of one-fifth of 90. What is the value of T

Answers

Answer:

Step-by-step explanation:

This is the equation. Read it carefully.

1/2 * 1/7 T = 1/3 * 1/5 * 90   Reduce

(1/14) * T = 1/15 * 90

1/15 * 90 = 6

(1/14)*T = 6                          Multiply both sides by 14

T = 14 * 6

T = 84

Find the median of the following data set. 0.48, 0.66, 1.02, 0.82, 0.7, 0.94 0.44 1.02 0.76

Answers

0.76 is the median.

100 POINTS PLS ANSWER
There are 7 friends who went to the bowling alley. Three of the friends each 1 point
bought a game of bowling for $x and a snack pack for $5. The other four
friends only bought a game of bowling. Choose ALL equivalent expressions
that represent the total cost for all 7 friends.
3x+15+4x
8 + 3 + 4x
7x+15
3(x+5)+4x
8 + 15 + 4x

Answers

Answer:

8+15+4x and 3x+15+3x

Step-by-step explanation:

please help tysm ill mark brainliest

Answers

Answer:

use pemdas(order of the operations)and you'll get the answer 27!!

Step-by-step explanation:

PLS HELP NO LINKS
A cardboard box has the dimensions 2 ft, 1.5 ft, and 1.2 ft. What is the volume of the box?
A. 3.2 ft
B. 3.6 ft
C. 4.7 ft
D. 14.4ft​

Answers

Answer:

3.6 cubic feet

Step-by-step explanation:

The volume of the box is simply the product of the 3 sides. so [tex]2ft \times 1.5ft \times 1.2 ft = 3.6 ft^3[/tex]

PLZ HELP ASAP I NEED A ANSWER!!
Which characteristics did early Japanese, Chinese, and Korean civilizations share?

They were friendly nations that shared culture and customs.
They were nations at war that shared a common religion.
They were neighboring countries that shared a common history.
They were countries with dissimilar culture and customs.

Answers

Answer:

When looking at the feudal system, which is a notable difference between Japanese Samurai and European Knights? Japanese Samurai were not considered part of the higher class. European Knights were not part of the military. Japanese Samurai were highly educated.

Step-by-step explanation:

hey yo how is this math

What equation represents this sentence? 42 is the quotient of a number and 6.

Answers

Answer:

42= x/6

Step-by-step explanation:

Quotient means the answer of a division problem

sense we don’t know the ”number” in this situation it will be seen as a variable or x

x / 6 = 42

to find x we just do 42/6 to get 7

x=7

A scuba diver descends farther down into the ocean from an initial depth of 15.2 feet below sea level. The scuba diver descends at a constant rate for 212 minutes and reaches a depth no more than 46.7 feet below sea level.

What is the maximum rate, r, that the scuba diver may descend?



r≥241925


r≤12.6


r≤241925


r≥12.6

Answers

Answer:

r <= 12.6

Step-by-step explanation:

Let's calculate the rate at which he descends:

r = (46.7 - 15.2)/212 = 0.15 feet/minute

HELLLLPPPP QUICKKLLLYYYY PLLZZZ VIEW THE QUESTION IN THE PHOTO ATTACHED!!!!

Answers

Answer:

[tex]\sqrt{18a}[/tex]

Step-by-step explanation:

To insert the factor, you must first find its squared value, in this case, 3's squared number is 9 so.....[tex]3=\sqrt{9}[/tex]

Now with square roots, they multiply like any other number

so you end up with[tex]\sqrt{9}*\sqrt{2a} \\\sqrt{9*2a}\\\\\sqrt{18a} <------ ANSWER[/tex]

Please leave a thanks!!!

Which equation is correct and shows that 42 is 7 times the size of 6?

42 × 2 = 7
42 × 6 = 7
42 ÷ 2 = 7
42 ÷ 6 = 7

Answers

42 divided by 6 = 7

I hope this helps
It’s 42 divided by 6 = 7

What is the equation of the line in slope intercept form perpendicular to the y axis and has the point (-4,5)

Answers

Answer:

y=5

Step-by-step explanation:

If it is perpendicular to the y-axis, that means it is a horizontal line so the slope m=0.

Use the equation

y-y=m(x-x)

y-5=0(x-(-4))

y-5=0

y=5

Answer:

y=5

Step-by-step explanation:

Which expression is equal to 6/7?

Answers

Answer:

Option C

The answer is 6 ÷ 7

Step-by-step explanation:

6/7 which means 6 divided by 7 i.e., 6 ÷ 7

Thus, The answer is 6 ÷ 7

-TheUnknownScientist 72

In ΔABC, m∠1=70° and m∠4=35°. What is m∠3?

Answers

Answer:

75

Step-by-step explanation:

A triangle can only have 3 angles that add up to 180 degrees. Subtract 70 and 35 from 180 to get 75.

180=x+70+35

180-(70+35)=x

Please write in full sentences.
Brainliest and 100 points.
If you don't know then don't answer.

Answers

Answer:

no because there is a 10 which make it not proportional

Step-by-step explanation:

hope that helps.

Answer: No they are not proportional because the last row has -10 which obstructs the whole relationship.

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