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Matching In Exercises 5-8, match the Taylor polynomial approximation of the function
[The graphs are labeled la), (b), (c) and (d)
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Chapter 9 Solutions
WebAssign Printed Access Card for Larson/Edwards' Calculus: Early Transcendental Functions, Multi-Term
- Exercise: Newton's Divided Difference Method (a) Construct a divided difference table from the following data: 0 0.3 0.6 1.8221 3.3201 0.9 6.0496 1.2 11.0232 f(x) (b) Use the table presented in Question (a) along with Newton's Divided Difference Formula to approximate f (0.1) with a polynomial of degree three. Start with x = 0. Estimate the error in the approximation. (c) Use the table presented in Question (a) along with Newton's Divided Difference Formula to approximate f(1.1) with a polynomial of degree three. Start with x4 = 1.2. Estimate the error in the approximation. (Hint: Read the divided difference table from the "downside up".)arrow_forwardID: A Name: 6. The table below gives velocity data for a rocket shortly after liftoff. Time (s Velocity (m/s) 0 0 10 63 15 86 20 110 30 203 358 55 546 70 963 90 Determine which of the following cubic polynomials best models the velocity of the rocket for the time interval te [0, 90]- v(t) = 0.001101t - 0.06979 t 8.158t - 10.19 2 3 a. 2 + 8.171t - 6.609 3 - 0.1143 t b. v(t)=0.001589t 2 v(t) 0.000205t 0.09749 t 2.704t + 16.31 с. 2 + 3 d. v(t)=0.001028t - 0.07601t 7.954t - 7.364 2 6.585t - 5.895 3 v(t)= 0.000331t 0.005495 t Io I е. 7. A cubic function is a polynomial of degree 3; that is, it has the form 2 3 + bx + CX + d f(x) ax 1 + 2bx tC 3ах2arrow_forwardHow can I graph this.arrow_forward
- find the derivative at T=45 using 3rd order polynomialarrow_forwardExplain all partsarrow_forward1) Use the key features to sketch the polynomial function. End Behavior: As x → -0o, f(x) → -0 As x → co, f(x) → o Intercepts: x-intercepts: (2, 0), (-2, 0), (5, 0) -2- y-intercept: (0, 7) -3 -2 -2 Increasing/Decreasing: The intervals on which g decreases: (1, 3) -5- The interval on which g increases: (-∞, 1), (3, ∞) -7- Minimum/Maximum: A relative minimum occurs at (3, -4) A relative maximum occurs at (-1, 9)arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage