Formulas (to differential equations) Math. A3‚ Midterm Test I. sin2 x + cos2 x = 1 sin(x ± y) = sin x cos y ± cos x sin y tan(x ± y) = tan x±tan y 1∓tan x·tan y differentiation rules: (cu) = cu ′ ′ ′ ′ ′ (c is constant) cos(x ± y) = cos x cos y ∓ sin x sin y (u + v) = u + v (uv)′ = u′ v + uv ′ ′ ′ u ′ = u v−uv v v2 df dg d dx f (g(x)) = dg dx sin 2x = 2 sin x cos x tan 2x = sin x = 2 cos 2x = cos2 x − sin2 x 2 tan x 1−tan2 x 1−cos 2x ‚ 2 integration rules: cos x = 2
Premium Trigraph
Problem: Reference : Kasavana Brooks‚ 5th Edition‚ Pg. 351 Hubbart Formula Approach‚ Room Pricing The Casa Vana Inn‚ a 200 room property‚ is projected to cost $9‚900‚000 inclusive of land‚ building‚ equipment‚ and furniture. An additional $100‚000 is needed for working capital‚ bringing the total cost of construction and opening to $10‚000‚000. The hotel is financed with a loan of $7‚500‚000 at 12% annual interest and cash of $2‚500‚000 provided by the owners. The owners desire a 15% annual return
Premium Expense Operating expense Taxation in the United States
Experiment 1: APPLICATION OF STATISTICAL CONCEPTS IN THE DETERMINATION OF WEIGHT VARIATION IN SAMPLES LEE‚ Hyun Sik Chem 26.1 WFV/WFQR1 ------------------------------------------------- Nov. 23‚ 2012 A skillful researcher aims to end his study with a precise and accurate result. Precision refers to the closeness of the values when some quantity is measured several times; while accuracy refers to the closeness of the values to the true value. The tool he utilizes to prevent errors in precision and
Premium Statistics
------------------------------------------------- ------------------------------------------------- ------------------------------------------------- ------------------------------------------------- EXPERIMENT NO. 4 ------------------------------------------------- COLORIMETRIC DETERMINATION OF pH ------------------------------------------------- Abstract This experiment examined the result of the various color indicators combined with different buffer solution‚ thereby testing the precision and accuracy of determining the pH value
Premium PH indicator PH
Chemical Formula Principles Chemical Formula is a system of chemical notation that was invented in 181 by John Jakob Berzelius. The system is based on the law of definite proportions”‚ states that all samples of a given chemical compound have the same elemental composition. It is also a way of expressing information about the proportions of atoms that constitute a particular chemical compound‚ using a single line of chemical element symbols‚ numbers‚ and sometimes also other symbols‚ such as
Premium Ion Oxygen Atom
DERIVATION OF FORMULAS constant acceleration In order to be accurate‚ the title of this section should be "One Dimensional Equations of Motion for Constant Acceleration". Given that such a title would be a stylistic nightmare‚ let me begin this section with the following qualification. The equations of motion are valid only when acceleration is constant and motion is constrained to a straight line. Given that we live in a three dimensional universe in which the only constant is change‚ you may
Premium Velocity
Shawn Dubbs Lab 1 The Mole Concept of and the Chemical Formula of a Hydrate Abstract: The objective of this lab was to conduct an experiment to analyze the molar components in alum. This was conducted by heating the alum till the water had evaporated and then determining the number of moles for each component. Then using the these amounts to figure out the empirical formula for alum. Results: In order to determine how much of each separate component a total mass was taken before hand for
Premium Chemistry Water Oxygen
Three things are usually required for a chemical explosion: a chemical reaction that occurs very rapidly‚ a large increase in gas pressure‚ and a confined-reaction vessel in which the pressure of the gaseous products can increase to a point that the gases break violently out of the container. In this chemistry and physics science fair project‚ you will use the combustion of ethanol to provide energy for a small explosion. The chemical equation that describes the combustion of ethanol is shown below
Premium Energy Ideal gas law Oxygen
Experiment 2: IDENTIFICATION OF UNKNOWNS BY TLC AND MP IN COMBINATION Introduction: Thin layer chromatography (TLC) is one of the most valuable techniques in organic chemistry. This is a best method of separating and identifying mixtures of two or more compounds. The separation is accomplished by the distribution of the mixture between two phases: one that is stationary and one that is moving or mobile. Chromatography works on the principle that different compounds will have different
Free Chromatography Thin layer chromatography
Determination has helped many well known brands and people become known . One of the most important keys to success is determination. There are many details‚ and aspects from texts‚ but there were three reasons that were evidenced from the articles The business of beanbags‚ Climbing Kilimanjaro‚ and The Mighty Macs that stood out. The first reason is that being motivated can benefit you in many ways. Motivation is a reason to do something‚ or take action. By being motivated‚ Lilian Wairimu Njue
Premium Debut albums Success English-language films