A 21-foot tree casts a 38-foot shadow directly down a slope when the angle of elevation of the sun is 32 degrees. Find theta, th
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Answer:
Step-by-step explanation:
We will solve this questions using some dimensionality analysis.
a) Note that is a vector space of dimension 4. So, given a set of three vectors, they could be or could not be linearly independent. However, if they were, they would not span
since in order for us to span
we need 4 or more vectors. Since a set of three vector cannot span this space, they automatically cant be a basis for
.
b) has a dimension 3. So, for a set of vectors A to span this space, we need that A contains at least 3 vectors that are linearly independent. So A could have possibly infinite number of vectors as long as there is a subset of A that is composed by 3 linearly independent vectors.
<h2>Hello!</h2>
The answer is:
d)
A hole is a point where rational functions lose its continuity, meaning that in that point, there is a discontinuity condition.
We can find the hole of a rational function if there are similar terms on the numerator and the denominator by finding:
First (x-component): The values of x that makes the function equal to 0 in both numerator and denominator.
Second (y-component): Re-evaluating the same term in the other factors of the function to know the y-component.
Finding the x component we have:
So, the x-component is 1,
Then, re-evaluating the function:
Therefore, the y-component is 4,
Hence,
The function has a hole at (1,4)
Have a nice day!