What Is An Interpolation Equation

by the Trapezoidal rule is Etrap = O(h2 ) and by Simpson’s rule is ESimp = O(h4 ). i) For each of these numerical integration rules, what conditions are required on the integrand f so these error estimates are valid? ii) Suppose that the error using h = 5 × 10−3 is E0 = 1.19 × 10−4 when using either the Trapezoidal rule or Simpson’s rule. For both rules, ˆ estimate the error if an interval width of h = 1 × 10−3 is used. iii) The Matlab command [z, w] = gauleg(N); calculates the N Gauss-Legendre nodes z and weights w for the interval [−1, 1]. Show how z and w can be used to numerically calculate

It is being used in page 22, “Rate, Graph, Slopes, and Equations” Quadratic rate of change comes from the parabola in the graph or the table. We would have to find the rate of change on each point because it won't be constant. y=ax^2+bx+c is the quadratic equation that we can find with the quadratic rate of changes. It’s being used in page 32, “To the Rescue.” Instantaneous rate of change is at a particular instant time at a point of the graph. The derivative is a way to look at by the meaning of instantaneous equal to the instantaneous rate of change. It would help you measure the instant time rather than the time on the table. It’s being used in page 34, “The Instant of Impact.” The derivative approximation is the slope of the line that is tangent to the curve at (a,b). It is also the instantaneous rate at which the y-value of function is changing as the x-value increases through

2. If the functional form of a curve is known, differentiation can be used to determine all of the following EXCEPT the

This paper comprises an appreciation of data representation, its visualization, an outline description of behavior, plus an indication of the use of the equation in engineering.

When a scatter plot's (x,y) points are all pretty close to the "line of best fit", then how would you describe the relationship between the points?

The movement that makes this object is a uniformly varied movement, because it is subject to the acceleration of gravity. In these types of movement, the position of the body with respect to time, is described by a quadratic function of the form:

3) Given the value calculated by the senior technician calculate your error and comment on this error in relation to the apparatus error of the method.

14. Calculate the change in the metal’s temperature by subtracting the initial temperature of the iron from the final temperature of the iron. ΔT = Tf - Ti (5 points)

Standard: A1.4. Linear functions, equations, and inequalities (Algebra) Students understand that linear functions can be used to model situations involving a constant rate of change. They build on the work done in middle school to solve sets of linear equations and inequalities in two variables, learning to interpret the intersection of the lines as the solution. While the focus is on solving equations, students also learn graphical and numerical methods for approximating solutions to equations. They use linear functions to analyze relationships, represent and model problems, and answer questions. These algebraic skills are applied in other Core Content areas across high school courses.

1. Using a similar approach as example 2.3 (textbook page 75): “Finding the Sale Price of Items in a Department Store”, provide your analysis for the following problem statement:

1. Given the following information about purchases and sales during the year, compute the cost to be assigned to ending inventory under each of three methods: (a) average-cost, (b) FIFO, and (c) LIFO. (Show your work.)

The inflow into the tank was then graphed to show the Inflow vs. Time, the results obtained had some outliers in the initial negative trend so a linear interpolation of the part of the data set

(Refer to original data.) Fuel cost is a significant variable cost to any railway. If crude oil increases by $ 20 per barrel, it is estimated that variable cost per passenger will rise to $ 90. What will be the new break-even point in passengers and in number of passenger train cars? Then, proceed to compute number of passengers =?

The book value at the beginning of the terminal year is 2 billion dollars. Using this information calculate the terminal value under this method.

It can be used for mathematical, science or engineering calculations that you want to be solved.