Experiment 3: Projectile Range Versus Angle EQUIPMENT NEEDED – Mini Launcher and steel ball – Plumb bob – Measuring tape or meter stick – Carbon paper – Graph paper – White paper Purpose The purpose of this experiment is to find how the range of the ball depends on the angle at which it is launched. The angle that gives the greatest range is determined for two cases: launching on level ground and launching off a table. Theory The range is the horizontal distance‚ x
Premium Function Angle Table
THE CONSUMPTION FUNCTION To make the income-expenditure model more realistic‚ we will need to introduce other components of demand‚ including the government and the foreign sector. But first we need to recognize that consumers planned expenditures will depend on their level of income. • Consumer Spending and Income The consumption function describes the relationship between desired spending by consumers and the level of income. When consumers have more income‚ they will want to purchase more
Premium Macroeconomics Consumption function Consumption
5.1 Inverse Functions One-to-One Functions * One-to-one function is where each x-value corresponds to one y-value‚ and each y-value corresponds to only one x-value * * Horizontal line test – a function is one-to-one if every horizontal line intersects the graph of the function at most once * Examples: Determine whether the following functions are one-to-one * In general‚ a function that is either increasing or decreasing on its entire domain‚ such as must
Premium Function
Exponential Smoothing Forecasting Method with Naïve start Formula: Ft = α (At-1) + (1 – α) (Ft – 1) where: Ft Forecast for time t Ft – 1 Past forecast; 1 time ahead or earlier than time t At-1 Past Actual data; 1 time ahead or earlier than time t α (read as alpha) as a smoothing constant takes the
Premium Time Forecasting Future
Submitted By: Ma. Karla Rachelle Ulibas Student Submitted To: Mr. Ray-ann Buenafe Instructor HISTORY OF TRIGONOMETRIC FUNCTIONS Trigonometric functions seem to have had their origins with the Greek’s investigation of the indirect measurement of distances and angles in the “celestial sphere”. (The ancient Egyptians had used some elementary geometry to build the pyramids and remeasure lands flooded by the Nile‚ but neither they nor the ancient Babylonians had developed the concept of
Premium
technology generated by a production function f(x) = x2 . The production set is Y = {(y‚ −x) : y ≤ x2 } which is certainly not convex‚ but the input re√ quirement set is V (y) = {x : x ≥ y} which is a convex set. 1.2 It doesn’t change. 1.3 1 = a and 2 = b. 1.4 Let y(t) = f(tx). Then dy = dt so that 1 dy 1 = y dt f(x) 1.5 Substitute txi for i = 1‚ 2 to get f(tx1 ‚ tx2 ) = [(tx1 )ρ + (tx2 )ρ ] ρ = t[xρ + xρ ] ρ = tf(x1 ‚ x2 ). 1 2 This implies that the CES function exhibits constant returns to
Premium Utility Supply and demand Economics
Even & Odd Functions 2 Algebraic Definition 2 Graphic Definition 4 Combining Even & Odd Functions 6 Multiplication 6 Addition 7 Integrals of Even & Odd Functions 7 Fourier Series: Even & Odd Functions 9 Arbitrary Period (2L) 9 Case of Period 2π 10 References 14 Algebraic Definitions 1) Even Function: 2) Odd Function: Algebraically You may be asked to "determine algebraically" whether a function is even or odd. To do this‚ you take the function and plug
Premium Function Calculus Addition
COMPOSITION AND INVERSE FUNCTIONS Composition and Inverse Functions Kimberly Harris MAT 222 Week 5 Assignment Instructor: Donna Wall July 18‚ 2014 Composition and Inverse Functions In this week’s assignment I am given three Composition and Inverse Functions. Functions gives an opportunity for manipulating experiences using different values. What these values does is to help business owners and others the opportunity to compare rates and dates. Functions can extend independent
Premium Function Mathematics Image
Real World Quadratic Functions Maximum profit. A chain store manager has been told by the main office that daily profit‚ P‚ is related to the number of clerks working that day‚ x‚ according to the function P = −25x2 + 300x. What number of clerks will maximize the profit‚ and what is the maximum possible profit? In order to find the point at which profit is maximized‚ I must find the critical points of the first derivative of the equation. Coefficient of x^2 is negative‚ so
Free Quadratic equation Derivative Polynomial
Using Polynomials in the “Real World” Polynomial functions are used in our everyday lives in a few different ways‚ this includes art‚ architecture‚ construction‚ financial planning‚ and manufacturing. We can also calculate how long it will take one person to do a job alone when we know how long it takes a group to get it done as well. Farmers on crop farms work dawn to dusk through the growing season to produce the grains‚ fruits‚ and vegetables that feed the country. These equations help them
Premium Mathematics Polynomial Real number