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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…

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…

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)…

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…

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…

Related Rates. Problem Example 1 A man 6 feet tall walks at a rate of 5 feet per second towards a light source that is 20 feet above the ground. At what rate is the man’s shadow changing when he is 16 feet away from the light source? [Graph] x=distance from light; y=length of the…