A product is composed of four parts. In order for the product to function properly in a given situation, each of the parts must
1 answer:
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I suppose
The vectors that span form a basis for
if they are (1) linearly independent and (2) any vector in
can be expressed as a linear combination of those vectors (i.e. they span
).
- Independence:
Compute the Wronskian determinant:
The determinant is non-zero, so the vectors are linearly independent. For this reason, we also know the dimension of is 3.
- Span:
Write an arbitrary vector in as
. Then the given vectors span
if there is always a choice of scalars
such that
which is equivalent to the system
The coefficient matrix is non-singular, so it has an inverse. Multiplying both sides by that inverse gives
so the vectors do span .
The vectors comprising form a basis for it because they are linearly independent.
Answer:
Option d)
Step-by-step explanation:
We are given the following in the question:
Three of four people believed that the state of the economy was the country's most significant concern.
They would like to test the new data against this prior belief.
The null hypothesis will state that the three of four people believed that the state of the economy was the country's most significant concern.
The alternate hypothesis will state that this is not true. It states that people believed that the state of the economy was the country's most significant concern is not the same.
We design the null and the alternate hypothesis
For this case we have a function of the form:
Where,
A: initial amount
b: growth rate (for b> 1)
x: independent variable
y: dependent variable
We then have the following function:
Using the definition, the following statements are correct:
1) The function is exponential
2) The function increases by a factor of 2.5 for each unit increase in x
3) The domain of the function is all real numbers
Where,
A: initial amount
b: growth rate (for b> 1)
x: independent variable
y: dependent variable
We then have the following function:
Using the definition, the following statements are correct:
1) The function is exponential
2) The function increases by a factor of 2.5 for each unit increase in x
3) The domain of the function is all real numbers