Answer:
x = ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
Step-by-step explanation:
Excluded values are values that will make the denominator of a fraction equal to 0
For the given fraction ![\frac{2x}{1-2x}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%7D%7B1-2x%7D)
The denominator = 1 - 2x
To find the excluded value: 1 - 2x = 0
2x = 1
x = 1/2
So, the excluded value of
is x = ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
The rate of change of the distance from the particle to the origin at this instant is 3 units per second.
<h3>What is the rate of change?</h3>
The instantaneous rate of change is the rate of change at a particular instant.
A particle is moving along the curve
![y= 4\sqrt{5x+11} .](https://tex.z-dn.net/?f=y%3D%204%5Csqrt%7B5x%2B11%7D%20.)
The rate of change of y is given as:
dy / dx = 2
by differentiating both sides,
![\dfrac{dy}{dx} = 4\dfrac{1}{2\sqrt{5x+11} } 5\dfrac{dx}{dt} \\\\\dfrac{dy}{dx} = \dfrac{10}{\sqrt{5x+11} }\dfrac{dx}{dt}\\\\](https://tex.z-dn.net/?f=%5Cdfrac%7Bdy%7D%7Bdx%7D%20%3D%204%5Cdfrac%7B1%7D%7B2%5Csqrt%7B5x%2B11%7D%20%7D%20%205%5Cdfrac%7Bdx%7D%7Bdt%7D%20%5C%5C%5C%5C%5Cdfrac%7Bdy%7D%7Bdx%7D%20%3D%20%5Cdfrac%7B10%7D%7B%5Csqrt%7B5x%2B11%7D%20%7D%5Cdfrac%7Bdx%7D%7Bdt%7D%5C%5C%5C%5C)
From the question, we have:
(x, y) = (5,24)
Substitute 5 for x and dy / dx = 2
![\dfrac{dy}{dx} = \dfrac{10}{\sqrt{5x+11} }\dfrac{dx}{dt}\\\\\\5= \dfrac{10}{\sqrt{5(5)+11} }\dfrac{dx}{dt}\\\\\\\sqrt{5(5)+11} = 2\dfrac{dx}{dt}\\\\\\\dfrac{dx}{dt} = 6/ 2 = 3](https://tex.z-dn.net/?f=%5Cdfrac%7Bdy%7D%7Bdx%7D%20%3D%20%5Cdfrac%7B10%7D%7B%5Csqrt%7B5x%2B11%7D%20%7D%5Cdfrac%7Bdx%7D%7Bdt%7D%5C%5C%5C%5C%5C%5C5%3D%20%5Cdfrac%7B10%7D%7B%5Csqrt%7B5%285%29%2B11%7D%20%7D%5Cdfrac%7Bdx%7D%7Bdt%7D%5C%5C%5C%5C%5C%5C%5Csqrt%7B5%285%29%2B11%7D%20%3D%202%5Cdfrac%7Bdx%7D%7Bdt%7D%5C%5C%5C%5C%5C%5C%5Cdfrac%7Bdx%7D%7Bdt%7D%20%3D%206%2F%202%20%3D%203)
Hence, the rate of change of the distance from the particle to the origin at this instant is 3 units per second.
Read more about rates of change at:
brainly.com/question/13103052
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Answer:
14.4 acres for corn (if you need to round, it's 14 acres.)
Step-by-step explanation:
40% = 19.2 acres
20% = 9.6 acres
10% = 4.8 acres
40 + 20 + 10 = 70
100-70 = 30
30% = 14.4 acres
Answer:
its c
Step-by-step explanation:
<span>product. 3(m n) = 3mn</span>