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- The values of a, b, c so that the truncation h error in the formula f f(x) dx = -h ahf (-h) f(x) dx = ahf (-h) +bhf (0) + ahf (h) +ch² f'(-h)-ch² f'(h) is minimum, areFind a formula for f-¹(x) and (ƒ˜¹)'(x) if ƒ(x) = √√ f-¹(x) = 0 (ƒ-¹)'(x) =1) Find the root of f(x) = x3 + x - 1 = 0 , lying in the interval (0,1) using Bisection method up to four iterations.
- Q1) Graph the following functions: V4 - x2 ,-2Find f(f(f(1))) given 2* + 3 if x 5 f(f(f(1)))Q5. (a) (i) If (a + bi)² = −5+ 12i, find a and b given that a, b € R. (ii) Sketch the graph of the function f(x) x+3 x-1* (b) (i) If a and are the roots of the quadratic equation ² equation whose roots are a +23 and 3 + 2a. (ii) Given that y = e³ sin 4x, show that y − 6 + 25y = 0. (c) (i) Sketch the graph of the function y = 2 + 3 cos for 1 complete revolution. (ii) If A C B, then simplify (BUA) nA. (2x-) 4x + 2 = 0, find the quadratic [8, 7, 5]While in New Zealand, Sandy purchased a merino wool sweater for 160 New Zealand dollars. What was the cost of the sweater in US dollars? The current exchange rate is $1 N = $0.66 US. You must show all work on your own paper and submit with the test.Refer attached pictureExpress the rational function as a sum or difference of two simpler rational expressions. ess 3x2 3x2 (x-1)(x + x + 1) 193. x' - 1Recommended textbooks for youAlgebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage LearningAlgebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill EducationAlgebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage LearningAlgebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education