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IB Chemistry: Bond Enthalpies Bond Enthalpies Define the term average bond enthalpy Average Bond Enthalpy: Enthalpy changes when one mole of gaseous bonds is broken. Note: I underlined “gaseous” because it’s absolutely crucial you add it in the definition, or you may lose marks. The reverse is the amount of energy required to form 1…

Quotient Rule for Derivatives The quotient rule is an important derivative application in calculus. It allows us to find the derivative of a quotient of two functions. The quotient rule S not a single equation but rather a collection of related rules that allow us to find derivatives of all kinds of expressions involving division….

Continuity. Example Problem Let f(x)={{ax^2 +3; x^3 +4x-1, x<=-2 Left; x>-2 Right For what value of a is f(x) continuous? ______________________________________________________ * lim_(x->-2)-f(x)=lim_(x->-2)+f(x)=f(-2)* lim_(x->-2)-(ax^2 +3)=4a+3=f(-2) lim_(x->-2)+(x^3 +4x-1)=-17 4a+3=-17 4a=-20 -> a=-5 This is a typical continuity question that you might see. Let f of x equal this piecewise-defined function right here. And it wants to…

IGCSE Coordinated Science: Energetics of a Reaction Energetics of a Reaction Relate the terms exothermic and endothermic to the temperature changes observed during chemical reactions. During all chemical reactions, an energy change occurs. In the reaction, heat is either released or absorbed. When a reaction releases heat to the surroundings, we call that reaction an…

Visualizing surfaces in three dimensions. Graphing in three dimensions, an example So, let’s say we have a more complicated function, how do we see it? f(x,y)=1-x^2-y^2 -> in yz-plane: x=0 z=1-y^2 -> xz-plane y=0 z=1-x^2 -> hit xy plane? z=0 1-x^2-y^2=0 x^2+y^2=1 unit circle We will examine the graph of f(x, y) = 1 –…

IGCSE History: World War I – British Blockade The Effects of the British Blockade: (1917-18) The British Blockade was most useful in the final 18 months of the war: This was when the Germans really started running out of resources. Previously they had enough resources and were not as bothered by the blockade. Denmark and…

CFA Level 2 – Economics, Session 4 – Reading 19, Foreign Exchange Parity Relations – LOS a (Practice Questions, Sample Questions) 1. If the exchange rate value of the euro goes from $0.95 to $1.10, then the euro has: A) depreciated and the Dutch will find U.S. goods more expensive.B) depreciated and the Dutch will find…

IGCSE Coordinated Science: Magnetism Magnetism For this unit, you’ll need to: Describe the properties of magnets “A magnet is a material or object that produces a dipole magnetic field (i.e. one with 2 poles), which pulls on other ferromagnetic materials and repels other magnets” – has 2 poles, N->S – Field movement from N->S –…

Constrained optimization: Big picture If we have a function of (x, y) and bounded region R, then there are two possibilities: Either the maximum occurs at a critical point, meaning that the x derivative at this point equals 0 and the y derivative equals 0. Or another way of is saying it is that the…

IGCSE Coordinated Science:Plant nutrition Plant Nutrition Define photosynthesis as the fundamental process by which plants manufacture carbohydrates from raw materials using energy from light. Yeah, photosynthesis is basically the process where plants manufactures carbohydrates from raw materials (water + Carbon dioxide) using the energy from light. State the word equation for the production of simple…