Calculus 2: Applications of Taylor polynomials
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All Calculus 2Volumes of Solids of RevolutionIntegration by PartsTrigonometric IntegralsTrigonometric substitutionPartial fractionsImproper integralsStrategy for integrationArc lengthArea of a surface of revolutionIntroduction to differential equationsSeparable differential equationsLinear differential equationsParametrized curvesPolar coordinatesSequencesSeries and the integral testComparison testsAlternating series and absolute convergenceRatio and root testsPower series and representations of functionsTaylor and Maclaurin seriesApplications of Taylor polynomials
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Complete the square for the expression and rewrite it in the form .
Approximate the sin function using a Taylor polynomial.
Look at the Taylor polynomial for and we're cutting it off at degree 4, . We want to figure out what values of you can plug in there for it to be accurate to two decimal places.
Using a Taylor polynomial, approximate a function when x is in the range .
Find the fourth degree Taylor polynomial for the function centered at and use it to approximate .