contestada

Write the height h of the rectangle as a function of x where

(a, b) = (125, 5).


Step 1

Note that the x-coordinate represents the directed distance from the y-axis to the point, and the y-coordinate represents the directed distance from the x-axis to the point.


The height of the given rectangle is the difference between the difference between the directed distances of its top and bottom from the x-axis.

Step 2

Looking at the graph, the directed distance of the rectangle's top from the x-axis is

y1 =



.


For any given x, the directed distance of the rectangle's bottom from the x-axis is

y2 =



.

Write the height h of the rectangle as a function of x where a b 125 5Step 1Note that the xcoordinate represents the directed distance from the yaxis to the poi class=

Respuesta :

MrRoyal

The value of [tex]y_1[/tex] is not fixed, and it changes with x.

The height of the rectangle as a function of x is: [tex]h =2 -\sqrt[3]{x}[/tex]

The value of [tex]y_1[/tex] is calculated using:

[tex]y = \sqrt[3]{x}[/tex]

So, we have:

[tex]y_1 = \sqrt[3]{x}[/tex]

From the graph, the value of [tex]y_2[/tex] is:

[tex]y_2 = 2[/tex]

So, the height of the rectangle is:

[tex]h = y_2 - y_1[/tex]

Substitute [tex]y_1 = \sqrt[3]{x}[/tex] and [tex]y_2 = 2[/tex]

[tex]h =2 -\sqrt[3]{x}[/tex]

Rewrite as:

[tex]h(x) = 2 - \sqrt[3]{x}[/tex]

Hence, the height of the rectangle as a function of x is: [tex]h =2 -\sqrt[3]{x}[/tex]

Read more about functions at:

https://brainly.com/question/12431044

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