University of Calicut Previous Years Question Paper & Answer

University : University of Calicut
Course : B.Sc

Semester : SEMESTER 5

Subject : Applied Calculus

Year : 2021

Term : NOVEMBER

Scheme : 2020 Full Time

Course Code : MTS 5D 01

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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
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(b) lim

Il

1-x?,0
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14. For the function / (x)

evaluate the one sided limits lim f(x)and lim f (x)

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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.

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