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Wayne Wu @masterwu

@masterwu

Virtual Math Tutor

437 followers 56 following 346 posts Reputation 59.24

Wayne Wu @masterwu
@masterwu Jan 30, 2019, 5:57 AM UTC

[DTube] Integral of ∫sin(2x)cos(5x)dx with Product to Sum Formula

In this video, we work through the integral of ∫sin(2x)cos(5x)dx. The first step when performing any integral is to see if we can simplify the integrand, which in this case is: sin(2x)cos(5x) Luckily…

59 upvotes 9 replies $0.07
Wayne Wu @masterwu
@masterwu Jan 28, 2019, 1:54 PM UTC

[DTube] Proof the derivative of sin(x) = cos(x) by First Principles

In this video, we prove that the derivative of sin(x) equals cos(x) by the very definition of the derivative, which is: df/dx = f'(x) = lim_(h approaches 0) f(x + h) - f(x) / h Thus: d/dx [sin(x)] =…

335 upvotes 2 replies $0.61
Wayne Wu @masterwu
@masterwu Jan 26, 2019, 2:52 AM UTC

[DTube] Reduction Formula for Integral of ∫ln^n(x)dx

In this video, we work through the derivation of the reduction formula for the integral of lnn(x) or [ln(x)]n. Like with lower powers of ln(x), such as ln2(x), we adopt the same approach of integrati…

218 upvotes 1 downvotes 1 replies $0.21
Wayne Wu @masterwu
@masterwu Jan 26, 2019, 1:04 AM UTC

[DTube] Limit of sin(x)/x as x approaches 0: Geometric Proof

In this video, we work through a geometric proof for the limit of sin(x)/x as x approaches 0. You may have visually inspected and tabulated that sin(x)/x does indeed approach L = 1 when x = 0, althou…

319 upvotes 1 replies $0.56
Wayne Wu @masterwu
@masterwu Jan 24, 2019, 1:50 PM UTC

[DTube] Example Problem Solving Exercises for Geometric Series

I'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem blockchain. In this video, I take you through 3 worked solutions of text book problems invol…

366 upvotes 1 replies $0.63
Wayne Wu @masterwu
@masterwu Jan 22, 2019, 8:03 AM UTC

[DTube] Reduction Formula for Integral of ∫sin^n(x)dx

I'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem blockchain. In this video, we work through the derivation of the reduction formula for the i…

312 upvotes 1 replies $0.58
Wayne Wu @masterwu
@masterwu Jan 22, 2019, 7:43 AM UTC

[DTube] Modelling Population Growth with the Logistic Model: IVP

I'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem blockchain. In this video, we use our knowledge of the logistic model for population growth…

326 upvotes 1 replies $0.58
Wayne Wu @masterwu
@masterwu Jan 15, 2019, 6:04 AM UTC

[DTube] Integral of ∫dx/sqrt(1-x^2)

I'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem blockchain. In this video, we work through the steps to find the indefinite integral or anti…

296 upvotes 2 replies $0.63
Wayne Wu @masterwu
@masterwu Jan 14, 2019, 10:30 PM UTC

[DTube] Geometric Series: Deriving the Summation Formulas

I'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem blockchain In this video, we derive the formulas for summing a geometric series, firstly to…

318 upvotes 2 replies $0.64
Wayne Wu @masterwu
@masterwu Jan 11, 2019, 5:47 AM UTC

[DTube] Modelling Price Inflation with Geometric Sequences

I'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem blockchain. You may have noticed that prices of goods and services, such as a cup of coffee…

344 upvotes 1 replies $0.63