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Wayne Wu @masterwu
@masterwu
59
Virtual Math Tutor
Followers
437
Following
56
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Resource Credits
Available
Used
Location
Brisbane, Australia
Website
https://www.youtube.com/user/MasterWuMaths
Created
2017-08-15 14:50
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masterwu
dtube
2019-01-30 05:57
[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,
$ 0.324
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masterwu
dtube
2019-01-28 13:54
[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)] = lim_(h
$ 2.606
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masterwu
dtube
2019-01-26 02:52
[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 integration
masterwu
dtube
2019-01-26 01:04
[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, although
masterwu
dtube
2019-01-24 13:50
[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 involving
masterwu
dtube
2019-01-22 08:03
[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 integral
masterwu
dtube
2019-01-22 07:43
[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 to
masterwu
dtube
2019-01-15 06:04
[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
masterwu
dtube
2019-01-14 22:30
[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 the
masterwu
dtube
2019-01-11 05:47
[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 gradually
masterwu
dtube
2019-01-09 01:33
[DTube] What are 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. In this video, I introduce the concept of geometric sequences. Let's take for example
masterwu
dtube
2019-01-08 05:38
[DTube] The Logistic Differential Equation for Population Growth: General Solution
In this video, we work through the process for deriving the analytical solution to the Logistic Equation formulated by Verhulst for modelling population growth. We first compare the natural (exponential)
masterwu
dtube
2018-12-29 10:27
[DTube] Geometric Sequences: The Geometric Mean
In this video, we take looking into the Geometric Mean, which is simply the middle term of 2 successive terms of a Geometric Sequence. We derive the formula for expressing the geometric mean: t_n^2 = t_(n-1)
masterwu
dtube
2018-12-23 01:03
[DTube] Geometric Sequences: Find the first term and common ratio
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 the general equation for terms of a geometric sequence: tn =
masterwu
steemstem
2018-12-20 02:10
[DTube] Geometric Sequences: Find the 4th term given the 7th term
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 the general equation for terms of a geometric sequence: tn =
masterwu
steemstem
2018-12-18 09:18
[DTube] Integral of ∫tan^4(x)dx using the Reduction Formula
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 process of solving the integral of ∫tan^4(x)dx
masterwu
steemstem
2018-12-17 05:00
[DTube] Lines and Planes: Vector and Dot product forms: Linear Algebra
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 exam style questions on vectors, lines and plains.
masterwu
steemstem
2018-12-14 06:14
[DTube] Newton's Law of Cooling - First Order Differential Equations
In this video, we derive Newton's Law of Cooling and use it to determine how fast a bottle of water cools when it is placed inside of a refrigerator. We are given that the bottle of water is a room temperature
masterwu
steemstem
2018-12-13 06:11
[DTube] Linear systems - 3 Intersecting Planes - No unique solutions
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 solve a linear system of equations for 3 planes: 5x + 2y + 11z =
masterwu
steemstem
2018-12-11 07:50
[DTube] Mixing Salt and Water - First Order Differential Equations
I'm in the process of uploading all of my Youtube videos to DTube, where they can be recorded on the Steem blockchain. My 200th YT Video! Thank you for your support. 6.5K subscribers and 1.7 million views
