Semester : SEMESTER 5
Subject : Applied Calculus
Year : 2022
Term : NOVEMBER
Branch : MATHEMATICS AND PHYSICS
Scheme : 2020 Full Time
Course Code : MTS 5D 01
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2 D 30573
Find |, (42° +4) dx.
1
Show that /n नर =-Inx.
If f (x)= துர்கை find all values of x such that f (x) =125.
Section B
Answer any number of questions.
Each question carries 5 marks. Ceiling is 30.
If f (x)=x7+3x+land g(x)=x+1, find f (g(x))and g (f («)).
Graph the function f (x)= x”.
Find :
(- x2 4 2x4 1)
¢) نا ന്ത 3 Bod
2 - வு
a = (x x 6)
x>-2 472 43x42
5 ಕ |
Verify the power rule for the function F (x)==x * by showing that its derivative is
x
F’ (x)= - 2 ३,
3
Find “if a°y + =x
dx
Find all inflection points of f (x) =3x° —5x* -1.
Evaluate ॥ ॥ 8x 0 + 1)' dx.
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