Step-by-step explanation:
let's think about it logically :
|x| can only be positive, from 0 to +infinity.
but the second part "- 4" will bring the result for small x values into the negative realm.
x = 0 gives us f(x) = -4.
x = 4 gives us f(x) = 0
x = -4 gives us f(x) = 0
so, if is the 3rd graph (bottom left).
Answer:
92.616%
Step-by-step explanation:
Given is the data of x and y where
x = current density (mA/cm2) and
y = rate of deposition (µm/min)
to find out whether there is linear relationship between x and y
x y
20 0.14
40 1.25
60 1.71
80 2.07
r 0.962364513
r^2 0.926145457
Since r is very near to 1, we find that there is a strong positive correlation and hence linearity can be assumed
r square the coefficient of determination is 0.9261 which is 92.616%
this is the measure which accounts for variation in x due to y and or variation in y due to x.
Answer:
The value of
.
Step-by-step explanation:
Consider the provided information.
The provided formula is ![f(x)=x^3+x+6](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E3%2Bx%2B6)
Substitute
in above equation.
![f(x_1)=(-2)^3+(-2)+6](https://tex.z-dn.net/?f=f%28x_1%29%3D%28-2%29%5E3%2B%28-2%29%2B6)
![f(x_1)=-8-2+6](https://tex.z-dn.net/?f=f%28x_1%29%3D-8-2%2B6)
![f(x_1)=-4](https://tex.z-dn.net/?f=f%28x_1%29%3D-4)
Differentiate the provided function and calculate the value of ![f'(x_1)](https://tex.z-dn.net/?f=f%27%28x_1%29)
![f'(x)=3x^2+1](https://tex.z-dn.net/?f=f%27%28x%29%3D3x%5E2%2B1)
![f'(x)=3(-2)^2+1](https://tex.z-dn.net/?f=f%27%28x%29%3D3%28-2%29%5E2%2B1)
![f'(x)=13](https://tex.z-dn.net/?f=f%27%28x%29%3D13)
The Newton iteration formula: ![x_2=x_1-\frac{f(x_1)}{f'(x_1)}](https://tex.z-dn.net/?f=x_2%3Dx_1-%5Cfrac%7Bf%28x_1%29%7D%7Bf%27%28x_1%29%7D)
Substitute the respective values in the above formula.
![x_2=-2-\frac{(-4)}{13}](https://tex.z-dn.net/?f=x_2%3D-2-%5Cfrac%7B%28-4%29%7D%7B13%7D)
![x_2=-2+0.3077](https://tex.z-dn.net/?f=x_2%3D-2%2B0.3077)
![x_2=-1.6923](https://tex.z-dn.net/?f=x_2%3D-1.6923)
Hence, the value of
.
Answer:
[r/(w + r)]^4
Step-by-step explanation:
The numbers of the different balls are not given, but here is the solution.
Let w = number of white balls.
Let r = number of red balls.
The total number of balls is w + r.
All drawings have the same probability since there is replacement.
Each drawing has the following probability of drawing a red ball:
p(red) = r/(w + r)
Since there are 4 drawings, and they are all independent events, the overall probability is the product of the individual probabilities.
p(4 red balls in 4 drawings) = [r/(w + r)]^4
To find an actual number, replace w and r with the correct numbers and evaluate the expression.
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Step-by-step explanation:
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