Wall for Shobhit Joshi

Consider the function
f(x) =(1 + x + x2 / 2! + x3 / 3! + . . . + xn  / n! )e−x,
where n >= 4 is a positive integer. Which of the following statements
is correct?
(A) f has no local extremum
(B) For every n, f has a local maximum at x = 0
(C) f has no local extremum if n is odd and has a local maximum at
x = 0 when n is even
(D) f has no local extremum if n is even and has a local maximum at
x = 0 when n is odd.

https://gateoverflow.in/215057/isi-pcb-2017?show=303424#a303424


Consider the following relations:
STD CHOICES (Student ID, Course ID, Semester) and
COURSE ASSIGN (Teacher ID, Course ID, Semester).
The former indicates the choice of courses for students and
the latter indicates the courses assigned to teachers for different semesters. Note that each student may take multiple courses, each teacher can teach multiple courses and each
course can also be taught by multiple teachers.
Write the relational calculus/algebra/sql query(all three) expression to output the ID
for all the students who have not been taught by the same
teacher in more than one course across all semesters.

The x-axis divides the circle x^2+ y^2 − 6x − 4y + 5 = 0 into two parts.
The area of the smaller part is