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IGCSE History: Czechoslovakia Situation in Czechoslovakia 1938: Sudeten Germans: – 3.5 million German speakers (known as Sudeten Germans) lived in Czechoslovakia, concentrated most in the border regions. – Because of this, the area was known was the Sudetenland – They came from territories from the Austro-Hungarian Empire, given to Czechslovkia in the post-war treaties –…

CFA Level 2 – Equity, Session 12-Reading 45, Residual Income Valuation-LOS i (Practice Questions, Sample Questions) 1. Which of the following statements least accurately explains the relationship between the residual income (RI) model, the dividend discount model (DDM), and free cash flow to equity (FCFE): A) FCFE models use historical cash flows.B) All the models discount future…

We’ll be unpacking the formula for tangent lines. So the only example I’m going to show you is the graph of the function f(x) = x^2. We will focus on three notional points on the graph. I will not be naming these points but I will label them later when I label the x and…

Robot Arm Solution Now let us begin our linear approximation. We will think of x as a function of L and theta. We will write x of L, theta as L plus root 2 cosine of theta. I can then take the derivative of this function, so the L derivative is just 1. And the…

Introduction to Mathematical Thinking. PROOF BY CONTRADICTION 1. You want to prove some statement ф 2. You start by assuming neg ф 3. You reason until you reach a conclusion that is false/ – often by deductity both ψ and neg ψ from some ψ. reg “ p,q have no common factors “ and “…

Second derivative test: General case The second derivative test indicates that there is a critical point (x0, yo) of a function of two variables of f, and then let’s compute the partial derivatives. Let’s call capital A the second derivative with respect to x. Let’s call capital B the second derivative with respect to X…

Tutorial for Problem Set In question 1 on problem set 4, we choose from the following four options the expression that is equivalent to this one. We must negate a universally quantified statement in which there is a conditional. Only one of these four answers is correct, so let’s look at the correct answer first….

Chain Rule for Derivatives. Example Problem 3 Let’s take the derivative of the cosine, let’s do cosine to the fifth of 3x. So remember, what we really want to do is come up with an expression that describes this function, so that we can take its derivative. Recall that the cosine to the fifth power…

Main result and example with a nonlinear function A nonlinear function is a function where the relationship between the input and output is not a straight line. The graph of a nonlinear function looks more like an S-shape or an L-shape than a straight line. The graph of a linear function looks like a straight…

IB Physics: Kinematics Kinematics Define displacement, velocity, speed and acceleration Displacement: The distance moved in a particular direction by an object Unit: Metre (m) Scalar quantiy Velocity: The displacement per unit time Unit: Metres per Second (m/s) Vector quantity Equation: Displacement/Time Speed: The distance travelled per unit time Unit: Metres per Second (m/s) Scalar quantity…