Subject Page 19

IGCSE Economics: Oligopoly What is it? An oligopoly exists when there are several dominate firms in one market. If there are only two sellers in one market than that the market structure of the said market is a duopoly which is a special case of an oligopolistic market. Examples include the petroleum industry, TV broadcasting…

States of matter State the distinguishing properties ofsolids, liquids and gases. Alright, before we delve into properties, lets consider each of these in terms of particles Now lets distinguish between the properties Solids hold their shape and volume. May be crystalline, molecules vibrate in a fixed position and are not free to a lot (if…

CFA Level 2 – Quantitative Analysis, Session 3 – Reading 13 – LOS l (Practice Questions, Sample Questions) LOS l: Discuss how to test and correct for seasonality in a time-series model, and calculate and interpret a forecasted value using an AR model with a seasonal lag. 1. Barry Phillips, CFA, is analyzing quarterly data….

Maximize a linear function A linear function is a function that can be written as a linear equation, which means that the graph of the function is a straight line. A linear function is also called an affine function. Thus, the gradient vector points in a perpendicular direction relative to the level curves. The gradient…

What are directional derivatives Directional derivative is a concept in probability theory, and more specifically in stochastic calculus. It is the time derivative of the expected value with respect to the direction of motion of the Brownian motion process. It can be used to define the rate of change of mean reversion in option pricing…

IB Biology Unit 11 Human health and physiology Defence against infectious disease Distinguish own cells (self) from pathogen (non-self) Lines of defence First line Non-specific Both physical and chemical barriers (prevent pathogen from entering) Skin, mucus in respiratory passages Second line Non-specific Phagocyte to site of infection Clotting factor released when tissue it damagedàcapillaries dilateàmore…

More Equations with Rationals Goal: To learn how to solve equations with fractions Example 1: Solve the following equations. a) 4=-23p-2LCD(1,3)=334=3-23p-2 12=-2p-212=-2(p)-2(-2)12=-2p+42p=4-122p=-82p2=-82P=-4The solution is p=-4 b)w-14=w+23LCD(3,4)=1212 ×w-14=12 ×w+233(w-1)=4(w+2)3w-3=4w+83w-4w=8+3-w=11-1w-1=11-1W=-11 OR w-14=w+233(w-1)=4(w+2)3(w-1)=4(w+2)3w-3=4w+83w-4w=8+3-w=11-1w-1=11-1W=-11 c) u-32-2=3u2+2u+15LCD(2,5)=1010u-32-2=103u2+2u+155(u-3)-20=5(3u)+2(2u+1)5u-35=19u+25u-19u=2+35-14u=37-14u-14=37-14u=-3714or u =-3514u=-3714 is the solution d) 35x-2=-23x+4+15LCD3,5=1515 ×35x-2=15 ×-23x+4+1515 35(x-2)=15-23x+4+151533x-2=5-2x+4+39(x-2)=-10(x+4)+39x-18=-10x-40+39x-18=-10x-379x+10x=-37+1819x=-19x=-1

Robot Arm Controller Let us look at another example of a problem in which the matrix will be useful. The robot arm problem is a good choice, since we’ve already discussed it. Thus, should be a good idea for us to discuss it together, since you could meet some problems. Then we can examine how…

IB Physics: Range of magnitudes of quantities in our universe Range of magnitudes of quantities in our universe 1.1. State and compare the quantities to the nearest order of magnitude. Orders of magnitude are basically how large values are. For example if the length of a table is 2 metres, the order of magnitude would…

More Determinants Determinant is a type of function that can be used to determine the value of an element in a given matrix. The determinant is a single number that can be used to determine whether a matrix is invertible or not. Now, we need to define some terminology, so let’s say that A is…