Answer:
True. See the explanation and proof below.
Step-by-step explanation:
For this case we need to remeber the definition of linear transformation.
Let A and B be vector spaces with same scalars. A map defined as T: A >B is called a linear transformation from A to B if satisfy these two conditions:
1) T(x+y) = T(x) + T(y)
2) T(cv) = cT(v)
For all vectors 
and for all scalars 
. And A is called the domain and B the codomain of T.
Proof
For this case the tranformation proposed is t: 
Where 
For this case we have the following assumption:
1) The transpose of an nxm matrix is an nxm matrix
And the following conditions:
2) 
And we can express like this 
3) If 
and then we have this:
And since we have all the conditions satisfied, we can conclude that T is a linear transformation on this case.
Answer:
why thank you :)
hope that continues for you and have an awesome day
ANSWER
The turning point is
EXPLANATION
The function given to us is
At turning point,
So we need to differentiate the given function and equate it to zero.
We using the chain rule of differentiation, we obtain,
We equate this to zero to obtain,
We divide through by 3.
We solve for x to get,
We substitute this x-value in to the function to obtain the corresponding y-value of the turning point.
Therefore the turning point is
C is the correct answer.
Hey!
The formula for finding volume of a cylinder is: π · r² · h
Now multiply
<em>Your answer is B)192π units³</em>
Good luck and hope this helps! :)
