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Visualizing the gradient vector Another example here. We’ll look at a picture, and we will see that the gradient of a level curve is normal to the level curves. So the function we have been working with since early is × squared plus y squared. If I take the derivative of its x- and y-components,…

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…

Nutritional Knowledge Nutrients: are substances that perform different functions in the body. You need to consume a balanced diet because no one food will provide all the essential nutrients that the body needs to be healthy and function properly. Function of nutrients: Non starch polysaccharide/dietary fibre: is the part of food that is not digested…

Session 18-Reading 70, The Portfolio Management Process and the Investm (Practice Questions, Sample Questions) Session 18: Portfolio Management: Capital Market Theory and the Portfolio Management ProcessReading 70: The Portfolio Management Process and the Investment Policy StatementLOS b: Describe the steps of the portfolio management process and the components of those steps. 1.Which of the following is…

Second derivative test. Worked example Let’s do an example. Let’s say we look at the function f (x, y) = x + y + 1/xy where x and y are positive. We are looking at this function because we do not want the denominator to be 0, so we are just looking at that situation….

Product Rule for Derivatives. Example Problem The function h of x equals 2x squared times f(x), where certain predefined values of fare given for x equaling 3. The question tells us to find h prime of 3, and the word “product” in the label tips us off to the fact that we must multiply two…

Related Rates. Problem Example 3 inc in2 / min A spherical balloon filled with gas at a rate of 500 inches? /min. At what rate is the radius increasing when the radius is 30? d/dt(V=4/3pi r^3) | dV/dt=500 dV/dt=4pi r^2 dr/dt | r=30 500=4pi(30)^2 dr/dt | dr/dt=? 500=3600pi dr/dt | dr/dt=500/3600pi=5/36pi in/min | In this…

Rivers: Features of a drainage basin Features of a drainage basin: watershed, source, mouth, channel network. Drainage basin The area drained by a river and its tributaries, bounded by a watershed An open system – has inputs and outputs (the amount of water in the system is not fixed) Inputs of a drainage basin: Energy…

IGCSE Business Studies- 4.3 Marketing Research The role of market research Market research is the process of gathering, analyzing and presenting information about a specific market, its customers and market trends. It provides information for decision- making and can help to reduce risks because the business has a better understanding of its market. The research…

Computer Science Practice Test 2 Answer Sheet 1. True or false, compressed files and folders can be encrypted ?TrueFalseCorrect answer: False2. What key combination in Windows 2000 brings up a menu where you can change your password ?Press CTRL+ALT+P and then click Change PasswordPress CTRL+ALT+DELETE and then click Change PasswordPress SHIFT+ALT+P and then click Change…