Answer:
The area of the rectangle is increasing at a rate of 84 square centimeters per second.
Step-by-step explanation:
The area for a rectangle is given by the formula:
Where <em>w</em> is the width and <em>l</em> is the length.
We are given that the length of the rectangle is increasing at a rate of 6 cm/s and that the width is increasing at a rate of 5 cm/s. In other words, dl/dt = 6 and dw/dt = 5.
First, differentiate the equation with respect to <em>t</em>, where <em>w</em> and <em>l</em> are both functions of <em>t: </em>
![\displaystyle \frac{dA}{dt}=\frac{d}{dt}\left[w\ell]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7BdA%7D%7Bdt%7D%3D%5Cfrac%7Bd%7D%7Bdt%7D%5Cleft%5Bw%5Cell%5D)
By the Product Rule:
Since we know that dl/dt = 6 and that dw/dt = 5:
We want to find the rate at which the area is increasing when the length is 12 cm and the width is 4 cm. Substitute:
The area of the rectangle is increasing at a rate of 84 square centimeters per second.
The answer is B because to find the distance between a number from zero you need the absolute value in the expression here it’s -7+7
A rational number<span> is any </span>number that can be expressed as the quotient or fraction. It is also a number that does not repeat and/or go on forever (ex. pi or <span>3.1415926535</span><span>)
Soo, the rational number is
the √49
√49 = 7 7 is a rational number, also a whole number as well, how bout that.</span>
B. Lost 850 ft
800-450= 350
1200-350=850
I hope I helped :D
The measuring unit is the standard unit of a quantity
The measuring unit of size 0.001 is represented by one millionth circle
<h3>How to determine the unit of base 0.001</h3>
The basic measuring unit in base 7 is given as:
49 circles
The above can be represented as:
Base 7 = 49 circles
Represent the base with n.
So, we have the following rule
For measuring unit 0.001, we have:
Evaluate the square
This means that,
The measuring unit of size 0.001 is represented by one millionth circle
Read more about measuring units at:
brainly.com/question/16393390
