 # Dive Deep into Linear Approximation with Comprehensive Examples and Expert Assistance

Recent questions in Linear Approximation Jonalito Juan2023-05-12

## A body falls from rest against resistance proportional to the square root of the speed at any instant. If the body attains speed V1 and V2 feet per second, after 1 and 2 seconds in motion, respectively, find an expression for the limiting velocity. Ghillardi4Pi 2022-11-24

## Сalculate which equation represents a line that passes through $\left(5,1\right)$ and has a slope of StartFraction one-half EndFraction? Tiffany Page 2022-11-13

## The third-degree McLauren series approximation for the function $f\left(x\right)=\mathrm{ln}\left(1+x\right)$ is$a\right)x-\frac{1}{24}{x}^{2}+\frac{1}{120}{x}^{3}\phantom{\rule{0ex}{0ex}}b\right)1-x+\frac{1}{2}{x}^{2}-\frac{1}{6}{x}^{3}\phantom{\rule{0ex}{0ex}}c\right)x-\frac{1}{2}{x}^{2}+\frac{1}{3}{x}^{3}\phantom{\rule{0ex}{0ex}}d\right)1-x+{x}^{2}-{x}^{3}\phantom{\rule{0ex}{0ex}}e\right)x-{x}^{2}+{x}^{3}$ Yair Valentine 2022-08-07

## A carousel has a radius of 17 ft and takes 28 seconds to make one complete revolution. What is the linear speed of the carousel at its outside edge? Meossi91 2022-08-03

## Earth rotates on an axis through its poles. The distance from the axis to a location on Earth 40 degrees north latitude is about 3033.5 miles. Therefore, a location on Earth at 40 degrees north latitude is spinning on a circle of radius 3033.5 miles. Compute the linear speed on the surfuce of Earth at 40 degrees north latitude. Waldronjw 2022-07-15

## Let $y=f\left(x\right)=\left({x}_{1}^{2}+2{x}_{2},{x}_{1}{x}_{2}-3{x}_{1}\right)$Is the linear approximation just $f\left(y\right)=f\left(x\right)+A\left(y-x\right)$ whenever y is approximately near $x$? Riya Hansen 2022-07-12

## Linear approximation of quotient$\frac{\left(2.01{\right)}^{2}}{\sqrt{.95}}$ nidantasnu 2022-07-12

## Use a linear approximation to estimate the number ${8.07}^{2/3}$ orlovskihmw 2022-07-11

## If $f\left(x\right)=g\left(x\right)h\left(x\right)$does the linear approximation of $f\left(x\right)$ equals the linear approximation of $g\left(x\right)$ times the linear approximation of $h\left(x\right)$?is it true for quadratic approximations as well? ziphumulegn 2022-07-09

## Since we know that in a good linear approximation, $L\left(x\right)=f\left(a\right)+{f}^{\prime }\left(a\right)\left(x-a\right).$. But what if ${f}^{\prime }\left(a\right)$ does not exist? How to prove that if a function has a good linear approximation, then it must be differentiable? Davon Irwin 2022-07-01

## If a line is a linear approximation to a function in $1$ variable and a hyperplane is the linear approximation to a function in $2$ variables what is the linear approximation to a function in $3$ variables? Reginald Delacruz 2022-06-27

## The volume $V$ of a cylinder is computed using the values 6m for the diameter and $9.8$m for the height. Use the linear approximation to estimate the maximum error in $V$ if each of these values has a possible error of at most $7$%. kokoszzm 2022-06-24

## The function $g$ is defined by $g\left(x\right)={\int }_{-20}^{x}\left(f\left(t\right){\right)}^{2}dt,$, and we're given$g\left(20\right)=100,f\left(0\right)=4,{f}^{\prime }\left(0\right)=12,{f}^{″}\left(0\right)=20.$use a tangent line approximation to estimate $g\left(0.1\right)$ gnatopoditw 2022-06-24

## $f\left(x,y\right)=\surd \left(7+2xy\right)$Find the linear approximation at $\left(3,-1\right)$ Mohammad Cannon 2022-06-15

## Proceed estimating this quantity using Linear Approximation$\frac{1}{\sqrt{95}}-\frac{1}{\sqrt{99}}$ Petrovcic2x 2022-06-13

## Find the linear approximation of the function$f\left(x,y\right)=\mathrm{ln}\left(e+x+y\right)$at point $\left(0,0\right)$. Use it to approximate the value of the function at $\left(0.1,0.2\right)$ Yesenia Sherman 2022-06-12

## Use Linear Approximation to estimate $\mathrm{\Delta }f=f\left(3.02\right)-f\left(3\right)$ Jeffery Clements 2022-06-12

## Linear approximation by rational number to $4\sqrt{3}$ Celia Lucas 2022-06-08
## Use a linear approximation of$f\left(x\right)=\sqrt{x}$at$x=8$to approximate$\sqrt{7}$Express your answer as an exact fraction. opepayflarpws 2022-06-06