Linear Approximation Made Easy: Expert Advice

Recent questions in Linear Approximation

Bailee Short 2022-06-06

Consider the function $w = z^{3}$ near the point $z = 1 + i, w = - 2 + 2 i$ What is the linear approximation near this point for this mapping? Is the linear approximation a one-to-one function?

razvezavg9wsh 2022-06-03

Use linear approximation to approximate the number $l n (1.02)$ .
$f (x) = l n (x)$

rs450nigglix2 2022-05-25

Linear approximation at $x = 0$ to $\sin (6 x)$

sg101cp6vv 2022-05-10

Verify the given linear approximation at $a = 0$ . Then determine the values of $x$ for which the linear approximation is accurate to within $0.1$
$1 / (1 + 2 x)^{4} \approx 1 - 8 x$
how do I determine its accuracy?

fetsBedscurce4why1 2022-05-10

Let $f$ be a differentiable function such that $f (3) = 2.345$ and $f^{'} (x) = l n (x^{2} + 1)$ . What is the value of $f (5)$ ?

London Ware 2022-05-10

Determine how accurate should we measure the side of a cube so that the calculated surface area of the cube lies within $3$ % of its true value, using Linear Approximation.
Let $A (x) = T S A$ ; $x = s i d e$
$A (x) = 6 x^{2}$

motorinum6fh9v 2022-05-10

Use the linear approximation of Use the linear approximation of f(x,y)=e2x2+3y at (0,0) to estimate f(0.01,−0.02). at $(0, 0)$ to estimate $f (0.01, - 0.02)$ .

Carley Haley 2022-05-10

Find the linear approximation $Y$ to $f (x)$ near $x = a$ .
$f (x) = x + x^{4}, a = 0$

Merati4tmjn 2022-05-10

Linear approximation to find $\frac{1}{4.002}$

syaoronsangelhwc17 2022-05-09

Use linear approximation to approximate $1 / 0.254$ .

Angelique Horne 2022-05-09

Use linear approximation, i.e. the tangent line, to approximate ${11.2}^{2}$ as follows :
Let $f (x) = x^{2}$ and find the equation of the tangent line to $f (x)$ at $x = 11$ . Using this, find your approximation for ${11.2}^{2}$ .

Alexis Meyer 2022-05-09

Use the linear approximation of $f (x, y, z) =$ at $(- 2, 1, 1)$ to estimate $f (- 1.98, 0.97, 1.03)$

Paul Duran 2022-05-08

Using $f (x, y, z) = \sqrt{x + 2 y + 3 z}$ and an appropriately chosen linear approximation to find the value of $\sqrt{226}$

studovnaem4z6 2022-05-08

Let $l (x)$ be the linear approximation of $f (x) = x^{2 / 5}$ at $a = 32$ . Approximation?

ga2t1a2dan1oj 2022-05-08

Given the relations:
$\begin{aligned} F_{1} (x, y, u, v) = u e^{y} + (y + 1) e^{v x} + x y + 1 = 0 \\ F_{2} (x, y, u, v) = x + y + x u + e^{y + v} - 1 = 0 \end{aligned}$
find the linear approximation of $(u, v)$ in terms of $(x, y)$ near $(x, y, u, v) = (0, 0, - 2, 0)$ .

veleumnihryz 2022-05-03

Use suitable linear approximation to find the approximate values for given functions at the points indicated:
$f (x, y) = x e^{y + x^{2}}$

Paul Duran 2022-04-12

What is the linear approximation to $\sin (- 0.5)$ ?

Jaylene Duarte 2022-04-07

Use linear approximation to estimate $\tan (\frac{π}{4} + 0.05)$ . Identify the differentials $d y$ and $d$ in the situation.

The majority of college students that seek linear approximation practice problems with answers do not really know the concept of linear approximation when using basic differential equations. The trick is to use an approximation of a general function by turning to an affine function. When you need to work with an approximation for analytical work, focus on the solutions that provide linear approximation questions and answers where you see certain relations. It is good to compare several similar answers as it may help you come up with calculations and the explanation of your approximates with the graphs and the formulas.

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