PPT-Inverse Variations

Lesson 116 An equation in the form of or is an inverse variation The constant of variation is the of x and y for an ordered pair x y that solves the inverse variation. Last Week Review. Matrix. Rule of addition. Rule of multiplication. Transpose. Main Diagonal. Dot Product. Block Multiplication. Matrix and Linear Equations. Basic Solution. X. 1. + X. 0. Linear Combination. 2x Leveraged ETF. . When index daily return rises 1%, ETF leveraged daily return rises 2%. 2X. -1x Inverse ETF. When index daily return drops 1%, ETF return rises 1%, hedging exposure to drop. -1X. 1X. A bit more practice in Section 4.7b. Analysis of the Inverse Sine Function. 1. –1. D:. R:. Continuous. Increasing. Symmetry: Origin (odd . func. .). Bounded. Abs. Max. of at . x. = 1. Abs. Min. of at . Goal: Use inverse variation and joint variation models.. Warm-up. Simplify:. Inverse Variation. 2 variables, x and y, vary inversely if:. k is called the constant of variation.. Example 1. Tell whether x and y show direct variation, inverse variation, or neither:. We know how to graph the inverse of a function, but now we will look into expressing a new inverse function. Like before, let’s keep in mind the “switching x and y” theory. f. -1. (x). The inverse of the function f(x), f. by. Dr.. . Shorouk. . Ossama. Inverse Matrix :. If . A. is a square matrix. , and if a . matrix . B. of the same size . can be found such that . AB = BA = I. , then . A. is said to be . invertible. Direct Variation. When we talk about a direct variation, we are talking about a relationship where as . x increases, . y increases. . or decreases at a . CONSTANT. . RATE. .. Direct Variation. Direct variation uses the following formula:. . Ossama. Inverse Matrix :. If . A. is a square matrix. , and if a . matrix . B. of the same size . can be found such that . AB = BA = I. , then . A. is said to be . invertible. and . B. is called an . Chapter 3.8. Square Matrix. Although a matrix may have any number of rows and columns, . square matrices. have properties that we can use to solve systems of equations. A square matrix is one of the form . North Carolina Municipal Attorney’s Summer Conference . Asheville, August 6, 2010. 1. Inverse Condemnation – History and Nature of Action. “A taking without . formal . exercise of eminent domain” . The . inverse . of a relation is the set of ordered pairs obtained by . switching the input with the output. of each ordered pair in the original relation. (The domain of the original is the range of the inverse; and vice versa). Andrew Gardner, Slides 2-5, . Rafael Diaz, Slides . 9-11. Mosi. Davis. , Slides 6-8. What is the Inverse Function and how is it applied with currency?. The Inverse Function is a function used to return a value from x to y. For example: . July 14, 2014. Mark Panning, University of Florida. Outline. The basics (forward and inverse, linear and non-linear). Classic discrete, linear approach. Resolution, error, and null spaces. Thinking more probabilistically. Syllabus. Lecture 01 Describing Inverse Problems. Lecture 02 Probability and Measurement Error, Part 1. Lecture 03 Probability and Measurement Error, Part 2 . Lecture 04 The L. 2. Norm and Simple Least Squares.