Music from all over the world presents a range of musical theories. Some of these are documented in writing whilst others are transmitted orally. Discuss and give examples with reference to both Western and non-Western music. Music Theory can be understood as chiefly the study of the structure of music. With the idea of both written and oral notation‚ it may be understood through recognized systems of indication‚ and used as systems of memorizing and transmitting the theories themselves. Western
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totally new approach to art history never got it back‚ the have lost it )-: How have women been depicted in modern art (1860-1960). How do these depictions reflect changing attitudes? Select a range of examples by both male and female artists to illustrate your answer. As I flicked through the heavy pages of the traditional and authoritative book on art history in my search of women seen through both male and female eyes and painted with the skills of a man’s and women’s hand most of what I
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(x) and csc (x) include the domain‚ range‚ period‚ asymptotes and amplitudes. The domain of a cosine and sine function is all real numbers and the range is -1 to 1. The period is 2π‚ and the amplitude is 1. They have no asymptotes. The domain of tangent is all real numbers except for π2+kπ. The range is all real numbers and the period is π. Tan has no amplitude and has asymptotes when x= π2+kπ. The domain of a secant function is all real numbers except for π2+kπ. The domain of a cosecant function
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answered this question correctly! Back to Top 2. What is the domain of the relation {(3‚ 4)‚ (4‚ 3)‚ (4‚ 4)‚ (5‚ 2)}? A. {2‚ 3‚ 4‚ 5} B. {3‚ 4‚ 5} C. {4} D. {2‚ 3‚ 4} Correct Answer: B — {3‚ 4‚ 5}
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Q4 6 PART B – MODELLING AND PROBLEM SOLVING 8 MAPS Q1 8 MAPS Q2 9 MAPS Q3 11 MAPS Q4 18 References 26 PART A – KNOWLEDGE AND PROCEDURES All working for Part A is done in centimetres unless otherwise stated. KAP Q1 Function | Domain | Range | Equation | AB | 0 ≤x≤1 | y=4 | y=4 | CD | 1 ≤x ≤10 | y=1 | y=1 | DE | 10 ≤x ≤17 | 1 ≤y ≤4.5 | y= 0.5x-4 | The functions AB and CD were found to be constants. AB was found to be y=4 from 0 ≤x ≥1 CD was found to be y=1 from 1 ≤x≥10
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g−19 = 0 h−1x = 1 ∘h−1h−1 = −1 Your answer is incorrect. The correct answer is: g−19 = −1 h−1x = +x43 ∘h−1h−1 = −1 2. Domain and range from ordered pairs Suppose that the relation H is defined as follows. =H9‚ 0‚ −1‚ 8‚ 9‚ 4‚ −7‚ 1 Give the domain and range of H . Write your answers using set notation. You answered correctly: domain = −9‚1‚9‚7 range = −0‚8‚4‚1 3. Sum‚ difference‚ and product of two functions Suppose that the functions g and h are defined for all real numbers
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decreasing on its entire domain‚ such as must be one-to-one * Tests to Determine Whether a Function is One-to-One * Show that f(a) = f(b) implies a = b; then the function is one-to-one * Every y-value corresponds to no more than one x-value; to show that the function is not one-to-one‚ find at least two x-values that produce the same y-value * Use the horizontal line test * If the function either increases or decreases on its entire domain‚ then it is one-to-one
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special types of mappings such that every element of the domain is mapped to exactly one element in the range. This is illustrated below for the function f (x) = x + 2 The set of all numbers that we can feed into a function is called the domain of the function. The set of all numbers that the function produces is called the range of a function. Often when dealing with simple algebraic function‚ such as f (x) = x + 2‚ we take the domain of the function to be the set of real numbers‚ ℝ. In other
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The Parabola What is a Parabola? A quadratic expression is an expression in which the highest power of is 2. Consider the following: The above equations are all quadratic expressions as the highest power of is 2. When a quadratic function is graphed‚ the resulting curve is called a parabola‚ as demonstrated in figures 1 and 2. Real Life Application A quadratic function and parabola can be used when undertaking a new business venture to determine the optimum sales price of a particular
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Introduction to Relations Domain and Range of a Relation Any set of ordered pairs (x‚y) is called a relation in x and y. Furthermore‚ The set of first components in the ordered pairs is called the domain of the relation. The set of second components in the ordered pairs is called the range of the relation. Definition of Function and Vertical Line Test Definition of a Function Given a relation in x and y‚ we say “y is a function of x” if for every element x in the domain‚ there corresponds exactly
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