Semester : SEMESTER 5
Subject : Applied Calculus
Year : 2021
Term : NOVEMBER
Branch : MATHEMATICS AND PHYSICS
Scheme : 2020 Full Time
Course Code : MTS 5D 01
Page:2
18314
2 D 10671
10. Find all critical numbers of the function f (x)= 2x* —4x? +3.
11. Find all real numbers x that satisfy the given equation 42*~! =16,
12. Evaluate log, 32.
(8 x 3 = 24 marks)
Section B
Answer at least five questions.
Each question carries 5 marks.
All questions can be attended.
Overall Ceiling 25.
13. Find:
im 252 + 38x41
^ „¬ शद
೫೫೨1
(b) lim
Il
1-x?,0
“नव
14. For the function / (x)
evaluate the one sided limits lim f(x)and lim f (x)
ಖಡ 2- ಜಡ 2+
15. Find the equation of the tangent line to the curve y= Vx at the point where x = 4.
16. Find the intervals of increase and decrease for the function x? — 4x +5,
17. If f (x)= 5* *2* find all values of x such that f (x) - 122.
18314