Answer:
The answer to the question provided is 10.
The length of the function y = 3x over the given interval [0, 2] is 3.2 units
For given question,
We have been given a function y = 3x
We need to find the length of the function on the interval x = 0 to x = 2.
Let f(x) = 3x where f(x) = y
We have f'(x) = 3, so [f'(x)]² = 9.
Then the arc length is given by,
![\int\limits^a_b {\sqrt{1+[f'(x)]^2} } \, dx\\\\= \int\limits^2_0 {\sqrt{1+9} }\, dx\\\\=\sqrt{10}\\\\ =3.2](https://tex.z-dn.net/?f=%5Cint%5Climits%5Ea_b%20%7B%5Csqrt%7B1%2B%5Bf%27%28x%29%5D%5E2%7D%20%7D%20%5C%2C%20dx%5C%5C%5C%5C%3D%20%5Cint%5Climits%5E2_0%20%7B%5Csqrt%7B1%2B9%7D%20%7D%5C%2C%20dx%5C%5C%5C%5C%3D%5Csqrt%7B10%7D%5C%5C%5C%5C%20%3D3.2)
This means, the arc length is 3.2 units.
Therefore, the length of the function y = 3x over the given interval [0, 2] is 3.2 units
Learn more about the arc length here:
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Answer:
building a aroung 50.34 feet
Step-by-step explanation:
<em>It will be A And C.</em>
Answer:
The answer to your question is the letter D. 30 pounds
Step-by-step explanation:
Data
increase = 50%
final weighed = 45 pounds
Process
1.- Use proportions to solve this problem. 45 pounds will be 150% (the initial 100% plus an increase of 50%).
45 pounds ------------------ 150%
x pounds ----------------- 100%
x = (100 x 45)/150
x = 4500/150
Result
x = 30 pounds