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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• Explain the domain and range of a function. Under what circumstances would the domain be something other than all real numbers? Provide an example. Domain: The domain of a function is the set of ‘input’ values; the function must be well defined for these input values. Range: The range of a function is the set of ‘output’ values that result after f is applied to every element of the domain. **The domain will NOT be all real numbers when the horizontal distance from
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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. 1.3 Classify a relation shown on the mapped diagram as : one to one many to one ‚ one to many or many to many
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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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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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Safety Range Safety Headquarters Department of the Army Washington‚ DC 4 August 2009 UNCLASSIFIED SUMMARY of CHANGE DA PAM 385–63 Range Safety This administrative revision‚ dated 4 August 2009-o Clarifies procedures for application‚ processing‚ and approval for a Certificate of Risk Acceptance (para 3-9c(6)). Makes administrative changes (throughout). o Headquarters Department of the Army Washington‚ DC 4 August 2009 *Department of the Army Pamphlet 385–63 Safety Range Safety
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MOUNTAIN RANGES By length * Mid-ocean ridge - 65‚000 km (40‚389 mi)[1] * Andes - over 7‚000 km (4‚350 mi) * Rocky Mountains - 4‚800 km (2‚983 mi) * Himalayas - approximately 3‚800 km (2‚361 mi)[citation needed] * Great Dividing Range - 3‚700 km (2‚299 mi) * Transantarctic Mountains - 3‚500 km (2‚175 mi) By Continent Asia * * Alborz (Iran) * Al Hajar Mountains (Oman‚ UAE) * Altai Mountains (Russia‚ China‚ Mongolia‚ Kazakhstan) * Annamite Range (Laos‚ Vietnam)
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MATH1131 Mathematics 1A MATH1141 Higher Mathematics 1A INFORMATION BOOKLET Semester 1 2013 CRICOS Provider No: 00098G © 2013‚ School of Mathematics and Statistics‚ UNSW 1 CONTENTS OF THE MATH1131/1141 COURSE PACK 2013 Your course pack should contain the following four items: 1. Information Booklet Information on administrative matters‚ lectures‚ tutorials‚ assessment‚ syllabuses‚ class tests‚ computing‚ special consideration and additional assessment 2. Algebra Notes (for MATH1131/1141)
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the program? Range(11.5)‚ height(-1.2)‚ time(3.7) What variables can be changed by the user? Angle‚ initial speed‚ mass‚ diameter‚ (air resistance) List the different objects that can be fired from the cannon. Tanker shell‚ golf ball‚ baseball‚ bowling ball‚ football‚ pumpkin‚ adult human‚ piano‚ buickLaunch the cannon ball at a speed of 10 m/s at an angle of 35o. Launch the cannon ball after changing the mass from the default setting of 2 kg to 6 kg and then 8 kg. Record the range each time.
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