Assignment As a part of our math course we have been assigned a writing piece in which we are required to discuss the properties and uses of several kinds of algebraic functions. The four models include‚ linear‚ exponential‚ power‚ and inverse power. The purpose of this assignment is to review our understanding of these models and their uses and to fulfill a writing piece for the MEAP test. The first and simplest function to be discussed is the linear function. A linear function can be modeled by the
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sum as i runs from 1 to n of the ai 4. Linear algebra ‖x‖the norm (or modulus) of x OA→OA / vector OA OA¯ OA / the length of the segment OA AT A transpose / the transpose of A A−1 A inverse / the inverse of A 5. Functions f(x) fx / f of x / the function f of x f:S→T a function f from S to T x→y x maps to y / x is sent (or mapped) to y f’(x) f prime x / f dash x / the (first) derivative of f with respect to x f”(x) f double-prime x / f double-dash x / the second derivative of f
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Maths Exploration Introduction The Inflation rate changes every month and year‚ affecting the value of the money in the country. Inflation reflects a reduction in the purchasing power per unit of money‚ causing the price of goods and services to increase. Although people seem to see inflation as “evil”‚ but it is a necessary side-effect of a growing country‚ as economist sees that a small (<2%-3%) consistent amount of inflation is actually good. Without inflation the prices in the market will
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:………………………………………….. Date received …………………………………….. Date completed …………………………. Marks of the Topical Test : …………………………….. Prepared by : PN HJH SARIPAH AHMAD Sekolah Menengah Sains Muzaffar Syah Melaka 75450 AYER KEROH MELAKA 1 LEARNING AREA : FUNCTIONS Learning Objectives : Understand the concept of relations Learning Outcomes : Student will be able to 1.1 Represent relation using a) arrow diagram ‚ b) ordered pairs‚ c)graphs 1.2 Identify domain‚ co domain‚ object‚ image and range of a relation
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and Logarithmic Functions 2.2 Logarithmic Functions MATH14 • Logarithmic Function with base b • Graph of Logarithmic Function • Natural Logarithmic Function • Properties of Logarithmic Functions • Exponential and Logarithmic Equations Logarithmic Function with base b Definition: The logarithmic function with base b is the inverse of the exponential function with base b. y logb x Note: Dom f if and only if x b y Rng f Logarithmic Function with base b Examples:
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divided between two commodities X and Y‚ and suppose the unit price of Y is fixed at Re. 0.20. What will be his demand equation for X. If his utility function is U = log Qx + 2 log Qy. 2. A consumer has a monthly budget of Rs.4000. He spends all his income on two goods A & B. Price of A and B are Rs2 and Rs.4 respectively. His utility function is U = 3 log A+ 9log B. Find the optimum combination of A & B for the consumer. 3. Given: Monthly Budget = 1000‚ Px = Rs.10/Kg‚ Py = Rs
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Solutions to Graded Problems Math 200 Section 1.6 Homework 2 September 17‚ 2010 20. In the theory of relativity‚ the mass of a particle with speed v is m = f (v) = m0 1 − v 2 /c2 where m0 is the rest mass of the particle and c is the speed of light in a vacuum. Find the inverse function of f and explain its meaning. Solution. We simply solve for v: m= m0 1− v 2 /c2 =⇒ m 1 − v 2 /c2 = m0 =⇒ m2 1 − v2 c2 = m2 0 m2 v2 =⇒ 1 − 2 = 0 c m2 =⇒ v2 m2 =1− 0 c2 m2 m0 m m0 m 2 =⇒
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Application of linear functions in Economics (or) Application of straight lines in Economics The linear function is one in which ‘y’ is the first degree expression in ‘x’‚ i.e.‚ y = ax + b. The graph of this function is a straight line. The co-efficient of x represents the slope of the line. If a > 0‚ then the lines are upward sloping‚ and if a < 0‚ then the lines are downward sloping Let us explain certain linear equations used in Economics and business. 1. Linear cost curves
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Investment Function Savings and Investment Relationship Here we will take investment in terms of a schedule giving various amounts of investment associated with various levels of income. The investment schedule is the function of entrepreneurial behavior. It tells us how the investors or producers respond to a change in income or in the interest rate over a given time propensity to invest together with propensity to consume determine the level of income. The investment schedule may be compared
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hardly be any doubt that it has played a critical role in promoting global social and economic cooperation. The Economic and Social Council under the chapter IX and X of the UN charter has proved to be of immense value. It coordinates and provides a genera attraction to the specialized agencies of the UN. The areas of its services include a number of extremely important factors related to the global social and economic welfare. Food security‚ elimination of disease‚ refugee welfare‚ children welfare
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