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Robot Arm Matrix Example 1 That is another one. Example that you have already seen. Delta L is 0.1. delta theta is 0.1. Thus, if I take 1 minus 1, 0, 1, and multiply 0.1 times 0.1, what will happen? 0.1 minus 0.1 equals 0. 0 plus 0.1 equals 0.1. Let’s put a purple box…

CFA Level 2 – Economics, Session 4 – Reading 18 Currency Exchange Rates – LOS c (Practice Questions, Sample Questions) 1. Given an exchange rate of CAD:USD 0.9250 and CHF:USD 1.6250 what is exchange rate quoted in CHF:CAD? A) 1.7568. [Explanation: (CHF:USD 1.6250) / (CAD:USD 0.9250) = CHF:CAD 1.7568]B) 0.5692.C) 1.50322. Given the following quotes,…

Quotient Rule for Derivatives. Example Problem Let us now take the derivative of 3x-5 divided by 2x+1. This is a quotient rule problem because we have a fraction. We have a rational expression, and the variable is in each part of that rational expression. Please remember that if you were to take the derivative of…

The gradient vector A gradient vector is a vector that is used to describe the direction and magnitude of a uniform change in a scalar quantity (e.g. temperature, pressure, or density). The gradient of a function at a point is the directional derivative of that function in the neighborhood of that point. Let’s summarize what…

Warm up Solve for y 1) 1-5y=-14 -5y=-14 -5y=-15 -5y-5=-15-5 y=3 2) 3x+2y-4=0 2y=0 2y=-3x+4 2y2=-3x+42 y=-32x+42 y=-32x+2 y=mx+b m – slope, y – intercept Review of Graphing Example 1: Sketch 2x-y-1=0 using the slope and y-intercept Solution: Write 2x-y-1=0 in the form, y=mx+b. 2x-y-1=0 2x-1=y y=2x-1 y-int. is -1 (b=-1) slope is 2 (m=2)…

CFA Level 2 – Economics, Session 4 – Reading 14, Economic Growth – LOS c (Notes, Practice Questions, Sample Questions) 1. Which of the following is most accurate regarding labor productivity curves? Growth in capital per labor hour causes: A) productivity curves to shift; technological growth causes movement along productivity curves.B) and technological growth cause…

CFA Level 2 – Portfolio Management, Session 18-Reading 68, International Asset Pricing – LOS k (Practice Questions, Sample Questions) 1. Paul McCormack is a U.S. investor interested in valuing a Japanese security. Which of the following regression equations would be useful to McCormack in assessing the currency exposure of the Japanese security to changes in the dollar/yen…

Differential of f(x,y,z) Let f(x, y. z) be a function of three variables. If we want to find the differential dx, dy, or dz of fat point (x, y, z). we can input the values for x and y into the equation df = f(x + dx, y + dy, z + dz). df=f_xdx+f_ydy+f_zdz You…

IGCSE Edexcel Economics: Monopoly Competition: Monopoly Main features: barriers to entry, one dominant supplier in a market. A monopoly is a situation where the market is dominated essentially by one firm. The legal definition of “monopoly” is a firm that has 25% or more market share in the market. Advantages and Disadvantages of Monopolies Advantages…

Practice Systems A system of equations is a set of two or more equations that are related by the fact that they are both sets of variables with one or more common variables. It is recitation again. You have studied matrices and their various applications. One of them is to solving systems of linear equations….