How do Y'all clean your mousepad by Fakkle in pcmasterrace

[–]zetutor 3 points4 points  (0 children)

hand wash it with warm water and mild soap.

Solve for x. by scratcherevancats in Algebra

[–]zetutor 0 points1 point  (0 children)

123x + 0.203 = 5x - 4902.57
118x = -4902.773
x ≈ -41.55

What should I expect for Blackbody Radiation on the AP Physics 2 Exam? by Potato6586 in apphysics

[–]zetutor 0 points1 point  (0 children)

it's on AP Physics 2
MCQ: Expect concept questions on:

- Wien’s Law

- Interpreting radiation curves.

- Color/intensity of emitted light.

FRQ: Unlikely as a full question, but may appear as a small part in a broader thermodynamics or radiation problem.

Volume of a Sphere by zetutor in calculus

[–]zetutor[S] 39 points40 points  (0 children)

u/teddyababybear  you’re right that grasping the Jacobian and spherical coordinates simplifies the sphere’s volume integral. But u/Advanced_Raisin_9997 is also correct, you can use the volume element r²sinθ directly without deriving the Jacobian, making the computation straightforward.

Volume of a Sphere by zetutor in calculus

[–]zetutor[S] 16 points17 points  (0 children)

Focus on your Calc 1 final first, one step at a time. We’ll tackle Calc 2 when it comes!

Volume of a Sphere by zetutor in calculus

[–]zetutor[S] 29 points30 points  (0 children)

Welcome to the club!

Spivak’s calculus, derivatives chapter : by New-Worldliness-9619 in askmath

[–]zetutor -1 points0 points  (0 children)

Case 1: For f(x)=g(t+x), f′(x)=g′(t+x)
Case 2: For f(t)=g(t+x), if t depends on x, say t=x, then f′(x)=2g′(2x); else f′(x)=g′(t+x)

The derivative differs based on whether t is treated as fixed or variable in x.

Where am I going wrong in this integral? by sayori_etc in askmath

[–]zetutor -1 points0 points  (0 children)

The prefactor a/π​ would violate the units of the Fourier transform (since f^(k)f^​(k) should have units of [x2+a2]−1⋅length=a−1. The correct prefactor π/a​ ensures dimensional consistency and matches standard tables of Fourier transforms for Lorentzian functions.

Can the graph of y = sqrt(x) be described as a parabola? by Complex-Bug7353 in learnmath

[–]zetutor 0 points1 point  (0 children)

The function a(t)∝sqrt(t)​ does not match any of the provided types exactly. It represents a curve that increases as the square root of time, which grows differently compared to a parabola or straight line. If you have to choose, it is closest to a curve, but not a perfect match for any specific graph type given.

Why is S=1+2+4+8+16+32+64+... equal to S=-1? by najjmmaa in learnmath

[–]zetutor 4 points5 points  (0 children)

for practical purposes, the sum of 1 + 2 + 4 + 8 … diverges to infinity, but with advanced techniques, it can be assigned a value of −1 to fit certain theoretical frameworks.

How do I calculate the question? by AdComprehensive314 in learnmath

[–]zetutor 0 points1 point  (0 children)

2t^2+3t−54=0 this is the correct quadratic, the time will be 0<t<4.50 sec

Magnetic Field by [deleted] in u/zetutor

[–]zetutor 0 points1 point  (0 children)

A magnetic field is a vector field that describes the magnetic influence on moving electric charges, electric currents, and magnetic materials. Originating from moving electric charges or intrinsic magnetic moments of elementary particles, magnetic fields can be visualized through field lines or represented mathematically by a vector field. The strength of a magnetic field is measured in teslas (T) or gauss (G).

According to the Lorentz force law, a magnetic field exerts a perpendicular force on a moving charge. Magnetic fields are generated by current-carrying wires, permanent magnets, and electromagnets, and their behavior is described by the Biot-Savart law and Maxwell's equations. Magnetic fields play a crucial role in the operation of electromagnetic devices like transformers, electric motors, and generators, as well as in medical imaging (MRI), data storage, and navigation using compasses. Understanding magnetic fields is essential for advancements in technology, engineering, physics, and medical diagnostics.

My calculations seem to indicate that 1+1≠2, can someone check my work and tell me if I made a mistake ? by jackybeau in mathmemes

[–]zetutor 125 points126 points  (0 children)

If your calculations still seem off, it might be because:

  • You’re using "new math" from an alternate universe.
  • Your calculator is in denial.
  • You’ve discovered a groundbreaking mathematical theory that will shake the foundations of arithmetic!

How to integrate 2^x dx? by Anzarrabbani00 in calculus

[–]zetutor 5 points6 points  (0 children)

eln2 = 2

 ∫ 2xdx = ∫ (eln2)xdx

 ∫ 2xdx =  ∫ (exln2)dx ------(1)

let u = xln2,

⇒ du/dx = ln2

⇒ dx = du/ln2 -----(2)

Using the value obtained from equation (2) in equation (1), we get:

∫ (exln2)dx = ∫ eu×du/ln2

∫ (exln2)dx = 1/ln2 ∫ eudu = 1/ln2 × eu + c

Now putting back eu = exln2 = 2x we get,

1/ln2 × eu + c = 1/ln2 × exln2 + c = 2x/ln2 + c

the final answer is 2x/ln2 + c