In Exercises 27-32, find the values of
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Calculus & Its Applications (14th Edition)
- find a linearization at a suitably chosen integer near a at which the given function and its derivative are easy to evaluate. 1. ƒ(x) = x2 + 2x, a = 0.1 2. ƒ(x) = x-1, a = 0.9 3. ƒ(x) = 2x2 + 3x - 3, a = -0.9 4. ƒ(x) = 1 + x, a = 8.1arrow_forwardFind the linearization L(x) of the function at a. f(x) = x3 − x2 + 9, a = −2 L(x) = ?arrow_forwardConsider the general equation of a quadratic function: f(x)=ax2+bx+cf(x)=ax2+bx+c (Recall: aa, bb, and cc represent constants). Use the derivative f′(x)f′(x) to find the critical value of f(x)f(x) in terms of aa and bb (does this formula look familiar?) Use the second-derivative test to show that the critical value is a local maximum if a<0a<0 or a local minimum if a>0a>0. What determines whether the graph of f(x)f(x) is concave up or concave down? Does the graph of f(x)f(x) have any inflection points? Explain.arrow_forward
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellElements Of Modern AlgebraAlgebraISBN:9781285463230Author:Gilbert, Linda, JimmiePublisher:Cengage Learning,