BlogHide Resteemsmasterwu (59)in dtube • 6 years agosteemCreated with Sketch.[DTube] Integral of ∫sin(2x)cos(5x)dx with Product to Sum FormulaIn 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)…masterwu (59)in dtube • 6 years agosteemCreated with Sketch.[DTube] Proof the derivative of sin(x) = cos(x) by First PrinciplesIn 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…masterwu (59)in dtube • 6 years agosteemCreated with Sketch.[DTube] Reduction Formula for Integral of ∫ln^n(x)dxIn 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…masterwu (59)in dtube • 6 years agosteemCreated with Sketch.[DTube] Limit of sin(x)/x as x approaches 0: Geometric ProofIn 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…masterwu (59)in dtube • 6 years agosteemCreated with Sketch.[DTube] Example Problem Solving Exercises for Geometric SeriesI'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…masterwu (59)in dtube • 6 years agosteemCreated with Sketch.[DTube] Reduction Formula for Integral of ∫sin^n(x)dxI'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…masterwu (59)in dtube • 6 years agosteemCreated with Sketch.[DTube] Modelling Population Growth with the Logistic Model: IVPI'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…masterwu (59)in dtube • 6 years agosteemCreated with Sketch.[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 (59)in dtube • 6 years agosteemCreated with Sketch.[DTube] Geometric Series: Deriving the Summation FormulasI'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…masterwu (59)in dtube • 6 years agosteemCreated with Sketch.[DTube] Modelling Price Inflation with Geometric SequencesI'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…masterwu (59)in dtube • 6 years agosteemCreated with Sketch.[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…masterwu (59)in dtube • 6 years agosteemCreated with Sketch.[DTube] The Logistic Differential Equation for Population Growth: General SolutionIn 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…masterwu (59)in dtube • 6 years agosteemCreated with Sketch.[DTube] Geometric Sequences: The Geometric MeanIn 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:…masterwu (59)in dtube • 6 years agosteemCreated with Sketch.[DTube] Geometric Sequences: Find the first term and common ratioI'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…masterwu (59)in steemstem • 6 years agosteemCreated with Sketch.[DTube] Geometric Sequences: Find the 4th term given the 7th termI'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…masterwu (59)in steemstem • 6 years agosteemCreated with Sketch.[DTube] Integral of ∫tan^4(x)dx using the Reduction FormulaI'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…masterwu (59)in steemstem • 6 years agosteemCreated with Sketch.[DTube] Lines and Planes: Vector and Dot product forms: Linear AlgebraI'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…masterwu (59)in steemstem • 6 years agosteemCreated with Sketch.[DTube] Newton's Law of Cooling - First Order Differential EquationsIn 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…masterwu (59)in steemstem • 6 years agosteemCreated with Sketch.[DTube] Linear systems - 3 Intersecting Planes - No unique solutionsI'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…masterwu (59)in steemstem • 6 years agosteemCreated with Sketch.[DTube] Mixing Salt and Water - First Order Differential EquationsI'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! 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