Download the App!
Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.
Question
Answered step-by-step
The solid upper hemisphere of the sphere of radius 2 centered at the origin
Video Answer
Solved by verified expert
This problem has been solved!
Try Numerade free for 7 days
Like
Report
Official textbook answer
Video by Howard Francis
Numerade Educator
This textbook answer is only visible when subscribed! Please subscribe to view the answer
Calculus 3
Chapter 12
Vectors and the Geometry of Space
Section 1
Three-Dimensional Coordinate Systems
Vectors
Missouri State University
Harvey Mudd College
University of Nottingham
Boston College
Lectures
02:56
In mathematics, a vector (from the Latin word "vehere" meaning "to carry") is a geometric entity that has magnitude (or length) and direction. Vectors can be added to other vectors according to vector algebra. Vectors play an important role in physics, engineering, and mathematics.
11:08
In mathematics, a vector (from the Latin word "vehere" which means "to carry") is a geometric object that has a magnitude (or length) and direction. A vector can be thought of as an arrow in Euclidean space, drawn from the origin of the space to a point, and denoted by a letter. The magnitude of the vector is the distance from the origin to the point, and the direction is the angle between the direction of the vector and the axis, measured counterclockwise.
03:42
Find the radius and center…
02:55
Find the center and radius…
02:09
02:11
03:52
01:23
Find the sphere's cen…
Yeah, let's write mathematical statements that define the region of the upper hemisphere of the solid sphere centered at the origin with radius too. So the silence here, Senator, the origin with radius too. It's gonna be a sphere right here. The boundary of that sphere. It's gonna have the equation X square plus why square plus the square equals two square. But we don't just want the edge of this year. We want this solid sphere. Yes, we want that and all the points on the inside X Where? Let's slice where, plus the square, less than or equal 24 But we only want the upper half. So you want to cut it off right here along this circle and not include the bottom half? Well, that's an extra restriction just on Z. We're forcing Z to be non negative and so we still want all the points inside the sphere with the added a requirement that Z can't be negatives and that will give us region that we want
View More Answers From This Book
Find Another Textbook
00:44
12 is 30% of ______ (show ur work)
01:24
The sales of a particular brand of children’s athletic shoes rose from $5,00…
00:58
If y = kx, what is the value of k if y = 20 and x = 0.4?
01:28
How do I solve cot x = square root of three over 3?
02:08
Sofia and Tess will each randomly choose one of the 10 integers from 1 to 10…
01:17
A coil of rope was divided into 7 equal sections,each 17.5 meters long T…
Which equation is equivalent to log4 + log(x + 2) = 1?
In △XYZ , m∠X=38∘ , m∠Z=67∘ , and YZ=25 feet . What is XZ ? Enter your a…
01:31
a bus runs 9times a day 6days a week the bus can carry 30 people what's…
00:30
if 12 men are needed to run 4 machines how many men are needed to run 20 mac…