It is given that a straight rod has one end at the origin (that is (0,0)) and the other end at the point (L,0) and a linear density given by, where a is a known constant and x is the x coordinate.
Therefore, the infinitesimal mass is given as:
Therefore, the total mass will be the integration of the above equation as:
Therefore,
<u>Now, we can find the center of mass</u>, of the rod as:
Now, we have
x_{cm}=\frac{1}{\frac{aL^3}{3}}\int_{0}^{L}ax^3dx=\frac{3}{aL^3}\times [\frac{ax^4}{4}]_{0}^{L}
Therefore, the center of mass, is at:
Answer: B. The procedure for constructing the confidence interval is robust. The larger the sample size, the more resistant the mean. Therefore, the confidence interval is more robust.
Step-by-step explanation:
Large sized data samples usually have more stability than data with small samples, they yield a mean value which edges closer to the value of the population data. This means that large size data samples will have a mean which is more resistant to change than samples with a lower sample size. The confidence interval gives robustness while constructing a model by giving te leverage for a range of values based in a certain level of confidence upon which a statistical vale can be tested for validity.
Answer:
I don't think it affects
Step-by-step explanation:
PLS MAKE ME AS BRAINLIST
Answer:
D. 0.5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Average Rate of Change:
Step-by-step explanation:
<u>Step 1: Define</u>
Interval [-2, 3]
b = 3
a = -2
f(b) = f(3) = 5
f(a) = f(-2) = 2.5
<u>Step 2: Find</u>
- Substitute [ARC]:
- [Frac] Subtract/Add:
- [Frac] Divide:
Answer with Step-by-step explanation:
We are given that a differential equation
and
We have to verify that the function y= is an explicit function of the given first order differential equation.
Differentiate w.r.t x
By using the formula
Substitute the value of y in given differential equation
LHS=RHS
Hence, the function y is an explicit function of the given first order differential equation.