Extension: Error Analysis in Linear Approximation
Read this topicExplanations 2
- Previously, we learned how to use the method of linear approximation to estimate values of functions near a point. Specifically, we found that for a small change in xxx from x=a…
By Steven Kwon, Moor Xu, Alex Federspiel
- (Video) Linear Approximation and Error by Math Videos from Heather Here's a video by Math Videos from Heather explaining how to find the error of a linear approximation.
By Alex Federspiel
Problems 4
- What is the error of the linear approximation of (2.016)5(2.016)^5(2.016)5 from the function f(x)=x5f(x) = x^5f(x)=x5 at x=2x=2x=2?
- What is the error of the linear approximation of 170\sqrt{170}170 when using the function f(x)=xf(x) = \sqrt xf(x)=x at x=169x = 169x=169?
- When using a linear approximation of x23x^{\frac23}x32 at x=9x=9x=9, why is the error larger for the estimate of 9.2239.2^{\frac23}9.232 than for the estimate of 9.1239.1^{\fr…
- What is the error for estimating sin(3)\sin(3)sin(3) when using a linear approximation of f(x)=sin(x)f(x) = \sin(x)f(x)=sin(x) at x=πx = \pix=π?