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4. If z = a+ib, a;b 2 R, its trigonometric form is z = ‰(cosµ +isinµ); where ‰:= p a2 +b2 and µ is such that cosµ = a ‰; sinµ = b ‰: a) a = 8, b = 0, cosµ = 1 e sinµ = 0. Hence 8 = 8(cos0+ isin0). b) 6i = 6(0+i) = 6 ¡ cos … 2 +isin … 2 ¢: c) We use the de Moivre’s Formula: ‡ cos(… 3)¡isin(… 3) ·7 = cos 7… 3 ...
This collection of solved problems covers elementary and intermediate calculus, and much of advanced calculus. We have aimed at presenting the broadest range of problems that you are likely to encounter—the old chestnuts, all the current standard types, and some not so standard. Each chapter begins with very elementary problems.
The following table, showing critical values at 5% significance level, gives some indication of how likely some values of the correlation coefficient are. For example, for n =5, r =0.878 means that there is only a 5% chance of getting a result of 0.878 or greater if there is no correlation between the variables. Such a value, therefore ...
Given that f(x) = R cos (x + α), where R > 0 and 0 ≤ α ≤ 90, Find the value of R and the value of α. Hence solve, for 0 ≤ θ ≤ 360, the equation. 3 cos x – 4 sin x = 1. Give your answers to 1 decimal place. Write down the minimum value of 3 cos x – 4 sin x. Find, to 1 decimal place, the smallest positive value of.
The questions we have to answer are: Does a correlation exist? If so – what type and how strong is it? A graphical way to see if there is a correlation or not is with a SCATTERPLOT. We are going to plot one by hand – and then see how to do it on the calculator later. Example: Height Arm length
Answers to Absolute Value Equations 1) 8, −8 2) 7,−7 3) 1,−1 4) 2, −2 5) 6, ...
Free Algebra worksheets (pdf) with answer keys includes visual aides, model problems, exploratory activities, practice problems, and an online component.
