1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Neko [114]
3 years ago
10

Find the number b such that the line y = b divides the region bounded by the curves x = y^2 − 1 and the y-axis into 2 regions wi

th equal area. Give your answer correct to 3 decimal places.
Mathematics
1 answer:
77julia77 [94]3 years ago
7 0
Because of the symmetry, we can just go from x=0 to x=2 to find the area between 
<span>y = x^2 and y = 4 </span>

<span>that area = ∫4-x^2 dx from 0 to 2 </span>
<span>= [4x - (1/3)x^3] from 0 to 2 </span>
<span>= 8 - 8/3 - 0 </span>
<span>= 16/3 </span>

<span>so when y = b </span>
<span>x= √b </span>
<span>and we have the area as </span>
<span>∫(b - x^2) dx from 0 to √b </span>
<span>= [b x - (1/3)x^3] from 0 to √b </span>
<span>= b√b - (1/3)b√b - 0 </span>

<span>(2/3)b√b = 8/3 </span>
<span>b√b =4 </span>
<span>square both sides </span>
<span>b^3 = 16 </span>
<span>b = 16^(1/3) = 2 cuberoot(2) </span>
<span>or appr 2.52</span>
You might be interested in
Is correct the number 13
andrey2020 [161]
Yes, the answer is 8.
3 0
3 years ago
Read 2 more answers
The table shows transportation from five different bank accounts. Fill in the missing numbers
Vanyuwa [196]

There is no answer, there is no table.

8 0
3 years ago
Guests at a wedding have an appetizer
grandymaker [24]

3421880 number of the different meals are possible.

<h3>What is the combination?</h3>

The arrangement of the different things or numbers in the number of the ways is called as the combination.

It is given that:-

Number of appetizers is 7, the number of entres is 10, and that there's 4 choices of desserts.

So let's take each course by itself. You can choose 1 of 7 appetizers. So we have n = 7 After that, you chose an entre,

so the number of possible meals to this point is

n = 7  x  10 = 70

Finally, you finish off with a dessert, so the number of meals is:

n = 70 x 4 = 280

Therefore the number of possible meals you can have is 280. Note: If the values of 77, 1010 and 44 aren't errors, but are actually correct, then the number of meals is

n = 77 x  1010 x  44 = 3421880

Therefore 3421880 different meals are possible.

To know more about combinations follow

brainly.com/question/11732255

#SPJ1

8 0
3 years ago
What is the equation of 35?​
Dominik [7]

35 - X = 5

Simplifying

35 + -1X = 5

Solving

35 + -1X = 5

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-35' to each side of the equation.

35 + -35 + -1X = 5 + -35

Combine like terms: 35 + -35 = 0

0 + -1X = 5 + -35

-1X = 5 + -35

Combine like terms: 5 + -35 = -30

-1X = -30

Divide each side by '-1'.

X = 30

Simplifying

X = 30

7 0
3 years ago
Read 2 more answers
Mandie is making 15 cups of fruit salad. What ratio of grapes to blueberries should she use?
Eva8 [605]

Answer: She should us a ratio of 1:5 for grapes to blueberries

Step-by-step explanation:

Blueberries are a lot smaller than a typical grape, hence you should have 5 blueberries for every grape. Hence, the 1:5 ratio.

6 0
3 years ago
Read 2 more answers
Other questions:
  • HELP ASAP!! 10 POINTS!!!
    6·2 answers
  • Can somebody help me pleaseeee
    9·1 answer
  • I WILL GIVE BRAINLIEST PLEASE HELP!!!
    6·1 answer
  • Find the slope of the line using the points (0,4) and (-3,6)
    8·2 answers
  • Rex weighed 80 pounds a year ago. Now he weighs 92 pounds. What is the percent increase in his weight?
    5·1 answer
  • What is the correct answer?
    11·2 answers
  • If the average weight of sophomore boys in Arizona is 140 pounds with a standard
    15·1 answer
  • What is the value of x in the equation -2/3 x + 9 = 4/3 x - 3?​
    11·2 answers
  • Chess Club is selling stuffed animals for Valentine's Day. It costs the council $2.00 per stuffed animal and a one time shipping
    9·1 answer
  • Simplify for a = 3, b = -4 and c = -1.<br><br> 2a(b−c)
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!