Concept explainers
The quadratic approximation for
Answer to Problem 1PT
Quadratic approximation for
Explanation of Solution
Result used:
The Taylor polynomial of degree n for f about a is,
Calculation:
The given function is
To find the quadratic approximation, find
The Taylor polynomial of degree 2 for
Obtain the values of
Substitute these values in
Therefore, the quadratic approximation is,
Want to see more full solutions like this?
Chapter 11 Solutions
Study Guide for Stewart's Multivariable Calculus, 8th
- To put the quadratic function f(x)=ax2+bx+c in standard form, we complete the ________________.arrow_forwardFind a fourth-degree polynomial function f with real coefficients that has 2, 2, and 7i as zeros.arrow_forwardA path of a toy rocket thrown upward from the ground at a rate of 208 ft/sec is modeled by the quadratic function of. h(x)=16t2+208t. When will the rocket reach its maximum height? What will be the maximum height?arrow_forward
- Describe the end behavior of each polynomial. (a) y=x38x2+2x15 End behavior: y as x y as x (b) y=2x4+12x+100 End behavior: y as x y as xarrow_forwardA polynomial of degree n I has exactly ____________________zero if a zero of multiplicity m is counted m times.arrow_forwardFind the quartic (fourth-degree) polynomial function f with real coefficients that has 1,2and2i, as zeros, and f(1)=10.arrow_forward
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
- Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning