Answer:
A. {u1,u2,u3,u4} is a linearly independent set of vectors unless one of {u1,u2,u3} is the zero vector.
Step-by-step explanation:
Given that u4 is not a linear combination of {u1,u2,u3}
This means there is no possibility to write u4 = au1+bu2+cu3 for three scalars a,b,and c.
This gives that 
This implies that these four vectors are not linearly dependent but linearly independent.
Hence option a is right.
A. {u1,u2,u3,u4} is a linearly independent set of vectors unless one of {u1,u2,u3} is the zero vector.
Answer:

For this case m represent the slope and is given by
and from the other condition given we know that
. And replacing we got:

And if we reorganize the terms we have:

And subtracting 3 in both sides we got:

Step-by-step explanation:
For this case we have the following function y=g(x) and we want to find the tangent line to this function using the conditions: 
So we need a function like this one:

For this case m represent the slope and is given by
and from the other condition given we know that
. And replacing we got:

And if we reorganize the terms we have:

And subtracting 3 in both sides we got:

I think it’s 2x-15, sorry if I’m wrong
Answeer:
12.57cm^2
Step-by-step explanation:
A=pi(2)^2