Zak's Lab
10.3K subscribers
3:00
Find the amplitude and maximum speed of a mass on a spring given the total energy of the oscillator.
Zak's Lab
78 views • 1 day ago
13:07
Magnetic field for a wire with non-uniform current density (Ampere's Law example).
Zak's Lab
108 views • 5 days ago
10:08
Using Ampere's Law to find the magnetic field inside and outside a wire.
Zak's Lab
76 views • 7 days ago
3:21
Using the geometric series sum formula to find the sum of (1+2^n)/3^n.
Zak's Lab
127 views • 8 days ago
4:20
Using Archimedes' Principle to find the density of a submerged rock.
Zak's Lab
140 views • 2 weeks ago
4:49
Magnetic field of a long wire using Ampere's Law.
Zak's Lab
95 views • 3 weeks ago
13:49
Introduction to Ampere's Law for magnetic field due to a current distribution.
Zak's Lab
160 views • 3 weeks ago
12:45
Magnetic field of a short wire using the Biot-Savart law with trigonometric substitution.
Zak's Lab
349 views • 1 month ago
2:19
Find the limit of the sequence natural log squared over n. Large n limit of (ln(n))^2/n.
Zak's Lab
21 views • 1 month ago
5:36
Magnetic field at the center of a circular loop of current using the Biot-Savart Law.
Zak's Lab
338 views • 1 month ago
8:51
Find the magnetic field on the axis of a current loop using the Biot-Savart law for magnetic field.
Zak's Lab
202 views • 1 month ago
16:10
Derivation of the Biot-Savart law and calculating the magnetic field of a long straight wire.
Zak's Lab
475 views • 1 month ago
9:11
Magnetic field of a point charge + example of magnetic force between two charges.
Zak's Lab
317 views • 1 month ago
9:23
Minimum time for swimming and walking optimization problem.
Zak's Lab
202 views • 1 month ago
7:45
Minimum surface area of a can: relationship between height and radius minimizing surface area.
Zak's Lab
127 views • 1 month ago
5:05
Maximum area of a rectangle inscribed under y=1-x^2 and above the x-axis.
Zak's Lab
983 views • 1 month ago
16:24
Concavity, inflection points, graphical examples and concavity given the formula for f(x).
Zak's Lab
134 views • 2 months ago
10:21
Derivatives and increasing vs. decreasing functions + graphs of f(x) and f'(x).
Zak's Lab
149 views • 2 months ago
23:26
The first derivative test for minima and maxima + five examples of first derivative test.
Zak's Lab
157 views • 2 months ago
8:26
Proving the derivative of sin(x) is cos(x) and proving the derivative of cos(x) is -sin(x).
Zak's Lab
244 views • 3 months ago
11:53
Proving the limit of sin(theta)/theta as theta approaches zero, then the limit of 1-cos(theta)/theta
Zak's Lab
176 views • 3 months ago
11:57
Derive the quotient rule using the limit definition of derivative, derivative of a rational function
Zak's Lab
1.2K views • 3 months ago
12:05
How to derive the product rule: the derivative of a product and an example.
Zak's Lab
118 views • 3 months ago
8:38
Derivative of a linear combination (replaces the sum, difference and constant multiple rules).
Zak's Lab
44 views • 3 months ago
10:39
Derivation of the power rule using the limit definition of the derivative + examples.
Zak's Lab
88 views • 3 months ago
2:42
Derivative of a constant function using the limit definition of derivative vs. using a graph.
Zak's Lab
49 views • 3 months ago
11:18
Using a limit to find the derivative as a function of x + graphing the derivative function.
Zak's Lab
266 views • 3 months ago
12:41
Finding the slope of a tangent line as a limit of secant lines: solution of the tangent line problem
Zak's Lab
334 views • 4 months ago
11:49
Uniformly charged cylinder using Gauss' Law to find electric field inside and outside the cylinder.
Zak's Lab
585 views • 4 months ago
15:40
Torque on an electric dipole and potential energy of an electric dipole in a uniform electric field.
Zak's Lab
348 views • 4 months ago
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