Higher Level Mathematics Internal Assessment Type I Shadow Functions Contents Introduction: Functions/Polynomials 3 Part A: Quadratic Polynomials 4 Part B: Cubic Polynomials 12 Introduction: In mathematics‚ function is defined as a relationship‚ or more of a correspondence between the set of input values and the set of output values. Also‚ a rule is involved‚ or as it may be referred to‚ a ‘set of ordered pairs’ that assigns a unique output for each of the input. The
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correct answer is B. Q2) Use the following information to answer the next question. The given figure shows the graph of polynomial‚ p(x) = x2 + kx − 15 What is the value of k? A. 3 B. 2 C. −2 D. −3 Answer In the given figure‚ the graph intersects x-axis at two points‚ (−3‚ 0) and (5‚ 0). Therefore‚ x = −3 and x = 5 are the zeroes of the polynomial p(x). Substituting x = 5 in p(x)‚ we obtain p(5) = (5)2 + k(5) − 15 = 0 ⇒ 25 + 5k − 15 = 0 ⇒ 5k = −10 ⇒ k = −2 Thus‚ the value
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Asthma is a serious debilitating chronic respiratory condition that affects people from all walks of life and it does not discriminate against who it targets. Bernstein and Levy state that Asthma is defined as a major chronic respiratory condition which alter the respiratory function of the body. (Bernstein & Levy 2014‚ p. 03-04) Within the book Clinical Asthma Theory and Practice asthma is defined as a chronic inflammatory disease of the airways characterized by episodes of where the patient may
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1) 5/5 Classify as a polynomial‚ a power function‚ or a rational function. y = x/(x+1)^2 (5pts) Polynomial Power Function Rational Function Collapse 2) 5/5 Sketch a graph of the function. Find the x and y intercepts. f(x) = -x^3 + 1 (5pts) x-intercepts (-1‚ 0) (1‚ 0) y-intercept (0‚ 1) x-intercept (1‚ 0) y-intercept (0‚ 1) x-intercepts (-1‚ 0) (1‚ 0) y-intercept (0‚ -1) x-intercept (-1‚ 0) y-intercept (0‚ -1) Collapse 3) 5/5
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Beethoven’s 9th symphony conducted by Leonard Bernstein is a truly sophisticated piece of art that takes you through a roller coaster ride of mixed emotions. Feelings of sorrow and fear throughout the piece are coated with affirmation‚ that there is a light at the end of the tunnel‚ and then Beethoven continues onto exploding your emotions using sounds that bring feelings of extreme proudness and accomplishment. This end of the journey is a magnificent chorale using a modified version of Schilling’s
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Analog & Digital Communication ____________________________________________ ___________PROJECT REPORT___________ CDMA Transmission Model An Overview in Matlab SUBMITTED TO: Engr. Abdul Basit SUBMITTED BY: Nadeem Raza 09-ECT-05 Amir Mehmood 09-ECT-22 Mohammad Shoaib 09-ECT-29 Saad Najaf Khan 09-ECT-38 Date: 15th June‚ 2012 UNIVERSITY OF ENGINEERING AND TECHNOLOGY TAXILA SUB CAMPUS CHAKWAL Introduction: CDMA is modulation technique to transmit data over a whole frequency
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Rita Bernstein On November 14‚ 2012‚ Rita Bernstein visited Bergen Community College to talk about Escherichia Coli O157:H7. Escherichia coli or better known as E.coli is a tube-shaped bacterium that is found in the stomachs of warm-blooded animals. O157:H7 is a member of the E.coli family‚ which produces shiga toxin‚ and are capable of producing bloody diarrhea. E.coli O157:H7 attacks red blood cells‚ it interrupts flow of oxygen‚ and it breaks down walls of vessels. E.coli can
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RATIONAL NUMBERS In mathematics‚ a rational number is any number that can be expressed as the quotient or fraction p/q of two integers‚ with the denominator q not equal to zero. Since q may be equal to 1‚ every integer is a rational number. The set of all rational numbers is usually denoted by a boldface Q it was thus named in 1895 byPeano after quoziente‚ Italian for "quotient". The decimal expansion of a rational number always either terminates after a finite number of digits or begins to repeat the
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method are briefly discussed. 1 Introduction Eigenvalues and eigenvectors play an important part in the applications of linear algebra. The naive method of finding the eigenvalues of a matrix involves finding the roots of the characteristic polynomial of the matrix. In industrial sized matrices‚ however‚ this method is not feasible‚ and the eigenvalues must be obtained by other means. Fortunately‚ there exist several other techniques for finding eigenvalues and eigenvectors of a matrix‚ some of
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whether in a personal environment or work environment. Memory is very essential to our daily functions the textbook states‚ ”Without it‚ you wouldn’t know how to shut off your alarm‚ take a shower‚ get dressed‚ recognize objects‚ or communicate”(Bernstein‚ 2010‚ p. 210). Elaborative rehearsal is a form of memory that I think will be very beneficial to me throughout my lifetime. My method of memory consisted of maintenance rehearsal and consistently writhing things down thinking that was the most
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