(a)
We have been given an equation
. Upon taking derivative of this equation with respect to x on both the sides, we get:

(b)
In order to write the equation of tangent line, we need to find the slope of the line. We know that point (3,11) lies on the graph. Therefore, we write the slope of the tangent as:

Therefore, equation of tangent line is:

(c)
We know that slope of tangent is given as
. The tangent will be vertical when denominator of slope is zero, that is:

<u>Answer:</u>
Supreme court is the guardian of the constitution however, through constitutional amendment, the constitution can be altered or changed.
<u>Explanation:</u>
Due to the rigidity of US constitution only,27 amendment could be carried till now. First constitutional amendment was ratified during the year 1791 granting the rights to religion, speech, assembly etc. This was one among the first ten amendment which were called the bill of rights.
This process of amending the constitution is very long and complicated. It requires the special majority. This is done to uphold the rigid nature of the constitution.
Answer:
c. um sujeito e um núcleo is correct option in the given problem statement.