Answer:
2.25
Step-by-step explanation:
The computation of the number c that satisfied is shown below:
Given that
![f(x) = \sqrt{x}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%7Bx%7D)
Interval = (0,9)
According to the Rolle's mean value theorem,
If f(x) is continuous in {a,b) and it is distinct also
And, f(a) ≠ f(b) so its existance should be at least one value
i.e
![f^i(c) = \frac{f(b) - f(a)}{b -a }](https://tex.z-dn.net/?f=f%5Ei%28c%29%20%3D%20%5Cfrac%7Bf%28b%29%20-%20f%28a%29%7D%7Bb%20-a%20%7D)
After this,
![f(x) = \sqrt{x} \\\\ f^i(x) = \frac{1}{2}x ^{\frac{1}{2} - 1} \\\\ = \frac{1}{2}x ^{\frac{-1}{2}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%7Bx%7D%20%5C%5C%5C%5C%20f%5Ei%28x%29%20%3D%20%5Cfrac%7B1%7D%7B2%7Dx%20%5E%7B%5Cfrac%7B1%7D%7B2%7D%20-%201%7D%20%5C%5C%5C%5C%20%3D%20%20%5Cfrac%7B1%7D%7B2%7Dx%20%5E%7B%5Cfrac%7B-1%7D%7B2%7D)
![f^i(x) = \frac{1}{{2}\sqrt{x} } = f^i(c) = \frac{1}{{2}\sqrt{c} } \\\\\a = 0, f (a) = f(o) = \sqrt{0} = 0 \\\\\ b = 9 , f (b) = f(a) = \sqrt{9} = 3\\](https://tex.z-dn.net/?f=f%5Ei%28x%29%20%3D%20%5Cfrac%7B1%7D%7B%7B2%7D%5Csqrt%7Bx%7D%20%7D%20%3D%20f%5Ei%28c%29%20%3D%20%5Cfrac%7B1%7D%7B%7B2%7D%5Csqrt%7Bc%7D%20%7D%20%5C%5C%5C%5C%5Ca%20%3D%200%2C%20f%20%28a%29%20%3D%20f%28o%29%20%3D%20%5Csqrt%7B0%7D%20%3D%200%20%5C%5C%5C%5C%5C%20b%20%3D%209%20%2C%20f%20%28b%29%20%3D%20f%28a%29%20%3D%20%5Csqrt%7B9%7D%20%3D%203%5C%5C)
After this,
Put the values of a and b to the above equation
![f^i(c) = \frac{f(b) - f(a)}{b - a} \\\\ \frac{1}{{2}\sqrt{c} } = \frac{3 -0}{9-0} \\\\ \frac{1}{\sqrt[2]{c} } = \frac{3}{9} \\\\ \frac{1}{\sqrt[2]{c} } = \frac{1}{3} \\\\ \sqrt[2]{c} = 3\\\\\sqrt{c} = \frac{3}{2} \\\\ c = \frac{9}{4}](https://tex.z-dn.net/?f=f%5Ei%28c%29%20%3D%20%5Cfrac%7Bf%28b%29%20-%20f%28a%29%7D%7Bb%20-%20a%7D%20%20%5C%5C%5C%5C%20%5Cfrac%7B1%7D%7B%7B2%7D%5Csqrt%7Bc%7D%20%7D%20%3D%20%5Cfrac%7B3%20-0%7D%7B9-0%7D%20%20%5C%5C%5C%5C%20%5Cfrac%7B1%7D%7B%5Csqrt%5B2%5D%7Bc%7D%20%7D%20%3D%20%5Cfrac%7B3%7D%7B9%7D%20%5C%5C%5C%5C%20%5Cfrac%7B1%7D%7B%5Csqrt%5B2%5D%7Bc%7D%20%7D%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5C%5C%5C%5C%20%5Csqrt%5B2%5D%7Bc%7D%20%3D%203%5C%5C%5C%5C%5Csqrt%7Bc%7D%20%3D%20%5Cfrac%7B3%7D%7B2%7D%20%5C%5C%5C%5C%20c%20%3D%20%5Cfrac%7B9%7D%7B4%7D)
= 2.25
Answer:
it will be a continuous model
Step-by-step explanation:
weekend weekend assume every amount of area infected by the bed period doubles as hour passes
Answer:
186 cm²
Step-by-step explanation:
<em>*First we can move the shape around a bit to make it simpler to solve. If we take the triangle from the left side and move it over to the right, it connects with the other piece to create a rectangle. This leave two rectangles total which is much easier to solve.</em>
<em>*To find the length of the right rectangle, you take the 22 cm at the bottom and subtract the 12 cm (which is being used as the length for the left rectangle). This will give you a length of 10 cm long.</em>
<u>Left rectangle:</u>
A = lh
A = 12 (8)
A = 96 cm²
<u>Right rectangle:</u>
A = lh
A = 10 (9)
A = 90 cm²
<u>Total:</u>
A = 90 + 96
A = 186 cm²
Area of parallelogram: lw = 9(5)=45m
Area of triangle: 1/2bh = 1/2(9)(8) = 36m
So total area = 45+36=81m
Answer:6
Step-by-step explanation:
You will divide 120/20