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Which point on the curve $y=\sqrt{x-2}+1$ is closest to the point (4,1)$?$ What is this minimum distance?

$(3.5,2.22), 1.32$

Algebra

Chapter 4

Polynomial and Rational Functions. Applications to Optimization

Section 5

Maximum and Minimum Problems

Functions

Polynomials

Rational Functions

Campbell University

University of Michigan - Ann Arbor

Idaho State University

Lectures

01:32

In mathematics, the absolu…

01:11

00:39

Find the point on the line…

07:55

Minimum Distance, find the…

03:27

Find the point on the curv…

02:18

02:56

Find the closest point on …

04:56

What point on the parabola…

01:53

00:34

04:14

Find the minimum distance …

09:07

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In mathematics, the absolute value or modulus |x| of a real number x is its …

Find the point on the line $y=x+1$ that is closest to the point $(4,1) .$

Minimum Distance, find the points on the graph of the function that are clos…

Find the point on the curve $ y = \sqrt{x} $ that is closest to the point $ …

Find the point on the line whose equation is 2x + y - 2 = 0 that is closest …

Find the closest point on the curve $x^{2}+y^{2}=1$ to the point $(2,1)$.

What point on the parabola $y=1-x^{2}$ is closest to the point (1,1)$?$

Find the point on the curve $y=x^{2}$ closest to the point (0,1).

Find the point on the line $y=x$ that is closest to the point $(3,1) .$ [Hin…

Find the minimum distance from the parabola $y=x^{2}$ to point $(0,3)$

02:30

For which values of $a$ is $x=1$ a solution of the following inequality?…

02:43

You are given a quadratic function.(a) By looking at the coefficient of …

01:56

The accompanying figure shows the graph of a function $f$ on the interval $[…

00:41

(a) Complete the following table.$$\begin{array}{l}\frac{x}{0} \quad x^{…

00:19

Let $g(x)=2,$ for all $x$. Find each output.(a) $g(0)$(b) $g(5)$…

08:00

The following figure shows a portion of the iteration process for $f(x)=3.6\…

04:59

Solve $(x-a)^{2}-(x-b)^{2}>(a-b)^{2} / 4,$ where $a$ and $b$ are constant…

01:21

Give a reason (as in Example 4) why each graph cannot represent a polynomial…

01:38

Sketch the graph of each function and spec. ify all $x$ - and $y$ -intercept…

04:00

(a) Find the difference quotient $\frac{f(x)-f(a)}{x-a}$ for each function, …

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