Why does an integral part of the spherical coordinates have its $\phi$ angle ranging from $0$ to $\pi$ only?
2026-03-26 22:15:11.1774563311
$\int \int \int_{B_{p \theta \phi}} p^2 \sin \phi d \theta dp d \phi= p^2_1 \sin \phi_1 \Delta \theta \Delta p \Delta \phi$
152 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail At
1
There are 1 best solutions below
Related Questions in CALCULUS
- Equality of Mixed Partial Derivatives - Simple proof is Confusing
- How can I prove that $\int_0^{\frac{\pi}{2}}\frac{\ln(1+\cos(\alpha)\cos(x))}{\cos(x)}dx=\frac{1}{2}\left(\frac{\pi^2}{4}-\alpha^2\right)$?
- Proving the differentiability of the following function of two variables
- If $f ◦f$ is differentiable, then $f ◦f ◦f$ is differentiable
- Calculating the radius of convergence for $\sum _{n=1}^{\infty}\frac{\left(\sqrt{ n^2+n}-\sqrt{n^2+1}\right)^n}{n^2}z^n$
- Number of roots of the e
- What are the functions satisfying $f\left(2\sum_{i=0}^{\infty}\frac{a_i}{3^i}\right)=\sum_{i=0}^{\infty}\frac{a_i}{2^i}$
- Why the derivative of $T(\gamma(s))$ is $T$ if this composition is not a linear transformation?
- How to prove $\frac 10 \notin \mathbb R $
- Proving that: $||x|^{s/2}-|y|^{s/2}|\le 2|x-y|^{s/2}$
Related Questions in VOLUME
- Is there a volume formula for hyperbolic tetrahedron
- An assignment for kids (Water in a container) leads to an optimization problem
- Number of unique integer coordinate points in an $n$- dimensional hyperbolic-edged tetrahedron
- Volume of a region enclosed between a surface and various planes
- Find volume of 3d solid bounded by surfaces
- Application of Gauss' Divergence Theorem
- Relative volume of $\delta$-fattening (neighborhood) of a compact set
- How to calculate volume of revolution between a curve and a line
- How to prove the space of divergence-free vector fields on a manifold is infinite dimensional?
- How do you calculate volume with cubes of fraction lengths?
Related Questions in SPHERICAL-COORDINATES
- Volume between a sphere and a cone
- Trilaterating 2D cartesian coordinates, without Z
- Divergence in Spherical & Cylindrical Polar co-ordinates derivation
- Spherical coordinates to Cartesian coordinates with arbitrary origin for spherical coordinate system
- Triple integral. Spherical coordinates. Too much calculations
- Finding the kernel of a linear map gotten from a linear map with one kind of bessel function $j_i$ and replacing them with the $y_j$
- Distribution of correlation of fixed vector on vectors of n-sphere
- Calculate $\int_{\mathbb R^3} x_3^2 e^{-\lVert x \rVert _2} \lambda_3(dx)$
- Magnitude of a Vector in Spherical Coordinates with No Radial Component
- Rotate the surface of a sphere using altitude
Trending Questions
- Induction on the number of equations
- How to convince a math teacher of this simple and obvious fact?
- Find $E[XY|Y+Z=1 ]$
- Refuting the Anti-Cantor Cranks
- What are imaginary numbers?
- Determine the adjoint of $\tilde Q(x)$ for $\tilde Q(x)u:=(Qu)(x)$ where $Q:U→L^2(Ω,ℝ^d$ is a Hilbert-Schmidt operator and $U$ is a Hilbert space
- Why does this innovative method of subtraction from a third grader always work?
- How do we know that the number $1$ is not equal to the number $-1$?
- What are the Implications of having VΩ as a model for a theory?
- Defining a Galois Field based on primitive element versus polynomial?
- Can't find the relationship between two columns of numbers. Please Help
- Is computer science a branch of mathematics?
- Is there a bijection of $\mathbb{R}^n$ with itself such that the forward map is connected but the inverse is not?
- Identification of a quadrilateral as a trapezoid, rectangle, or square
- Generator of inertia group in function field extension
Popular # Hahtags
second-order-logic
numerical-methods
puzzle
logic
probability
number-theory
winding-number
real-analysis
integration
calculus
complex-analysis
sequences-and-series
proof-writing
set-theory
functions
homotopy-theory
elementary-number-theory
ordinary-differential-equations
circles
derivatives
game-theory
definite-integrals
elementary-set-theory
limits
multivariable-calculus
geometry
algebraic-number-theory
proof-verification
partial-derivative
algebra-precalculus
Popular Questions
- What is the integral of 1/x?
- How many squares actually ARE in this picture? Is this a trick question with no right answer?
- Is a matrix multiplied with its transpose something special?
- What is the difference between independent and mutually exclusive events?
- Visually stunning math concepts which are easy to explain
- taylor series of $\ln(1+x)$?
- How to tell if a set of vectors spans a space?
- Calculus question taking derivative to find horizontal tangent line
- How to determine if a function is one-to-one?
- Determine if vectors are linearly independent
- What does it mean to have a determinant equal to zero?
- Is this Batman equation for real?
- How to find perpendicular vector to another vector?
- How to find mean and median from histogram
- How many sides does a circle have?
Because there are only 180 degrees, or $\pi$ radians ranging from the positive $z$-axis to the negative $z$-axis. Compare this to doing a full rotation in the $xy$-plane which would take a full $2\pi$ radians to complete.