Subject Page 9

Under over-determined systems OK, so let’s think about what could happen. So I can go back to my picture. And in my first two planes I determined a line, and now I have a third plane. And maybe my third plane is actually parallel to the line but doesn’t pass through it. Well then, there…

IGCSE History: World War I – The Battle of Jutland The Battle of Jutland: 31st May, 1916: the Battle of Jutland occurred just off the Jutland Peninsula. Germans: Commanded by Admiral Scheer. He decided to attempt to lure the British into a trap using his cruiser fleet led by Admiral von Hipper. This was his…

Chain Rule for Derivatives. Example Problem 2 Let’s take the derivative of x cubed times the sine of x squared. To do this problem, we will first look at it globally, considering both functions as a whole. The derivative is fg prime plus f prime g. So let’s color code this: fand g are blue;…

IGCSE Coordinated Science: Pressure Pressure Relate (without calculation) pressure to force and area. Pressure is simply the force exerted divided by the area the pressure is exerted on. Recall and use the equation P = F/A. I’m just going to do some GCSE style questions which I will update quite regularly. Pressure = Force ÷…

CFA Level 2 – Fixed Income, Session 15-Reading 57 Mortgage-Backed Sector of the Bond Market-LOS h(Notes, Practice Questions, Sample Questions) 1. $400 million of mortgage pass-throughs will be used as collateral for five tranches. The first two tranches are planned amortization tranches?$260 million of bonds of tranche U and $50 million of bonds of tranche…

CFA Level 3 – Alternative Investment, Session 13 – Reading 33 (Notes, Practice Questions, Sample Questions) 1. Which of the following commodities is very difficult to store and transport? A)Oil.B)Corn.C)Natural gas Explanation — C — Natural gas is expensive to store and demand in the United States peaks during high periods of use in the…

Differentiability. Example Problem Differentiability is a measure of how smooth a function is. A function is differentiable at a point if its derivative exists at that point and is non-zero. The graph of a differentiable function is infinitely thin in the sense that it can be covered by an arbitrarily small rectangle. A simple way…

Equation of a Line: Given Slope and One Point Example 1: Determine the equation of a line with a slope of 2 passing through the point (1, 4). Solution: m=2, (-1,4) Write the equation of the line in slope y-intercept form, y=mx+b Write the form you’re using. y=2x+b Substitute the slope into m. -Sub. x…

The Change of Base Formula Next, we’ll consider how to modify the base of a formula. In data science, we commonly use base 10 or base 2. Sometimes we use natural logarithms (NI), which is a logarithm to the base e. We will discuss this later. Regardless of base, it’s possible to convert an equation…

IB Chemistry: Electrolysis Electrolysis 1. Predict and explain the products of electrolysis of aqueous solutions. Cathode:Cations are reduced when they arrive at the anode.Therefore, the positive ions with the higher Eo (i.e. reduction potential) in the electrolyte will be drawn to the cathode and be reduced, as they will be more readily be reduced to…