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
klio [65]
2 years ago
6

Let W be part of the solid sphere of radius 4, centered at the origin, that lies above the plane z = 2. Set up an integral in cy

lindrical coordinates to find the volume of the region. Do NOT actually integrate.
Mathematics
1 answer:
andriy [413]2 years ago
4 0

Answer:

V = ∫∫∫rdrdθdz integrating from z = 2 to z = 4, r = 0 to √(16 - z²) and θ = 0 to 2π

Step-by-step explanation:

Since we have the radius of the sphere R = 4, we have R² = r² + z² where r = radius of cylinder in z-plane and z = height² of cylinder.

So, r = √(R² - z²)

r = √(4² - z²)

r = √(16 - z²)

Since the region is above the plane z = 2, we integrate z from z = 2 to z = R = 4

Our volume integral in cylindrical coordinates is thus

V = ∫∫∫rdrdθdz integrating from z = 2 to z = 4, r = 0 to √(16 - z²) and θ = 0 to 2π

You might be interested in
Write down tower more multiples with the answer of 33.642
DENIUS [597]

Answer:

Step-by-step explanation:

3 0
3 years ago
A sweater was on sale at 40% off the regular price. Ella saved 20$ by buying the sweater on sale. What was the regular price of
barxatty [35]

Answer:

the answer is $50 for the full price of the sweater

Step-by-step explanation:

if you know $20 is 40% what is 20% it is $10 and then multiple it by 5 because  20 times 5 is 100 and you get 50

8 0
3 years ago
Graph the line with the equation y = 3-5x -4
Eddi Din [679]

Answer:

Step-by-step explanation:

4 0
3 years ago
The area of this rhombus is 1 square millimeter. One of its diagonals is 1 millimeter.
aleksklad [387]

Answer:

yo momma

Step-by-step explanation:

7 0
3 years ago
Solve: x2 − x − 6/x2 = x − 6/2x + 2x + 12/x After multiplying each side of the equation by the LCD and simplifying, the resultin
Vesna [10]

The resulting equation after simplyfing the given equation is 3x^2 + 20x + 12 = 0 and whoose solutions are x = -2/3 or x = -6.

According to the given question.

We have an equation

\frac{x^{2}-x-6 }{x^{2} } = \frac{x-6}{2x} +\frac{2x+12}{x}

So, to find the resulting equation of the above equation we need to simplify.

First we will take LCD

\frac{x^{2} -x - 6 }{x^{2} } = \frac{x -6+2(2x + 12)}{2x}

\implies \frac{x^{2}-x-6 }{x^{2} } =\frac{x-6+4x+24}{2x}

\implies \frac{x^{2}-x-6 }{x^{2} } = \frac{5x +18}{2x}

Multiply both the sides by x.

\frac{x^{2}-x-6 }{x} = \frac{5x+18}{2}

Again multiply both the sides by x

2x^{2} -2x-12 = 5x^{2} +18x

\implies 5x^{2} -2x^{2} +18x +2x +12 = 0

\implies 3x^{2} + 18x+2x + 12 = 0

Factorize the above equation

⇒3x(x+6)+2(x+6) = 0

⇒(3x + 2)(x+6) = 0

⇒ x = -2/3 or x = -6

Hence, the resulting equation after simplyfing the given equation is 3x^2 + 20x + 12 = 0 and whoose solutions are x = -2/3 or x = -6.

Find out more information about equation here:

brainly.com/question/2976807

#SPJ4

7 0
1 year ago
Other questions:
  • The average number of employees that call in sick for the day over the course of a year is 25. The number of employees that call
    9·1 answer
  • What is 0.05 as a fraction
    15·2 answers
  • For what domain intervals is the function y = lx - 11 increasing and/or decreasing?
    14·1 answer
  • What is the perimeter of a square with sides 36 inches long?
    11·2 answers
  • Juliet conducted a survey to find the favorite type of book of the students at her school. She asked 20 students from her class
    10·1 answer
  • Find the nth term and the indicated term of the arithmetic sequence whose initial term, a, and common difference, d, are given.
    9·1 answer
  • Help on number 3 only use Pythagorean thym I give brainliest
    5·1 answer
  • Find mZB.<br> Round to the nearest degree.<br> 11<br> B В<br> 7.<br> 15
    12·1 answer
  • What is the equation of a line parallel to y=4/5x+2 that passes through 1,2<br>​
    7·1 answer
  • If x³ + 2x and x³ − 7x² + 4x +2 + k have a common linear polynomial factor, then the value of k is what?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!