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
mestny [16]
3 years ago
12

A solid lies between planes perpendicular to the​ x-axis at x = -2 and x = 2. The​ cross-sections perpendicular to the​ x-axis b

etween these planes are squares whose bases run from the semicircle y = -√(4 - x²) to the semicircle y = √(4 - x²).
Find the volume of the solid.

Mathematics
1 answer:
icang [17]3 years ago
8 0

Answer:

V = 128π/3 vu

Step-by-step explanation:

we have that: f(x)₁ = √(4 - x²);  f(x)₂ = -√(4 - x²)

knowing that the volume of a solid is  V=πR²h, where R² (f(x)₁-f(x)₂) and h=dx, then

dV=π(√(4 - x²)+√(4 - x²))²dx;  =π(2√(4 - x²))²dx ⇒

dV= 4π(4-x²)dx , Integrating in both sides

∫dv=4π∫(4-x²)dx , we take ∫(4-x²)dx and we solve

4∫dx-∫x²dx = 4x-(x³/3) evaluated -2≤x≤2 or too 2 (0≤x≤2) , also

∫dv=8π∫(4-x²)dx evaluated 0≤x≤2

V=8π(4x-(x³/3)) = 8π(4.2-(2³/3)) = 8π(8-(8/3)) =(8π/3)(24-8) ⇒

V = 128π/3 vu

You might be interested in
ONLY ANSWER NO WORK WILL MARK BRAINLIEST
Whitepunk [10]
Alright, here goes:
For this question, you are asked about the median and Interquartile Range(IQR), so first you need to understand what that means.
The IQR is the box in the middle of the box-and-whisker-plot. The question asks for the place to have a small IQR, so the most likely places are Pensacola and Jacksonville.
The question is also asking for a high median temperature. The median is the line in the middle of the plot.
The median of Pensacola's plot is higher than the median of Jacksonville, so Pensacola Beach is your answer :)
5 0
3 years ago
What is the distance between -2 and 5
Vlad [161]

Answer:

7

Step-by-step explanation:

To find distance on a number line you add and 2+5=7

4 0
3 years ago
Which two fractions have a sum of - 7/24
Feliz [49]
The two fractions that added together give you a sum of -7/24 are 1/24+-8/24= -7/24
6 0
3 years ago
A duck flew at 18 miles per hour for 3 hours,
mrs_skeptik [129]
First, you do 18 miles times 3 hours.
The answer is 54
The you do 15 miles time 2 hours
The answer is 30
You can add them all up and get 84 miles total. (D)
5 0
3 years ago
Read 2 more answers
Is angle 2 in the diagram and angle of elevation or an angle of depression​
Brrunno [24]

Answer:

Angle of elevation

Step-by-step explanation:

An angle measured from the horizontal upwards is an angle of elevation.

An angle measured from the horizontal downwards is an angle of depression.

∠ 2 is a measure from the horizontal upwards thus angle of elevation.

Note that ∠ 3 is an angle of depression

4 0
3 years ago
Other questions:
  • Samara ate 1/3 of a pizza and Vyolet ate 1/5 of the pizza. How much of the pizza did they eat in all?
    9·1 answer
  • A store allows customers to fill their own bags of candy. Terri decides she only wants jelly beans and chocolate drops. Jelly be
    6·1 answer
  • A blueprint for a house shows the height of the house to be inches. The actual house is feet tall. What is the unit rate in feet
    13·1 answer
  • Find m Can you please provide a step by step
    5·1 answer
  • a 14 gram sample of substance used to preserve fruit and vegetables has a k- value of 0.1095 find substance half-life in days ro
    15·1 answer
  • Find the sum of this infinite geometric series.<br> HELP!!
    5·2 answers
  • Am I cute yes or no please be honest because lots of people say I’m pretty or cute
    7·2 answers
  • 2.98 Х 9.2 <br>i need answer ​
    12·2 answers
  • LD earns $18.50/h and works 40h/wk. what is LD’s average monthly income
    6·1 answer
  • Tell whether each sequence is arithmetic. Justify your answer. If the sequence is arithmetic, write a recursive formula and an e
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!