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Time

FIFTH SEMESTER (CBCSS—UG) DEGREE EXAMINATION
NOVEMBER 2022
Mathematics
MTS 5D 01—APPLIED CALCULUS

(2020 Admission onwards)

: Two Hours Maximum : 60 Marks

Section A

Answer any number of questions.
Each question carries 2 marks. Ceiling is 20.

If f (x) =2x — 3x +1, find f (x - 2).

Plot the points (4,3), (— 2,7), (5,-1) and (—1,- 8) in a rectangular co-ordinate plane.
Find lim. (3x°-4x+8).

Differentiate the polynomial y = x° — 3x4 + 12x? — 8x +5.

Find the second derivative of y = 2८० - 32 + 12 - 8.

٠ log, | 2
Use logarithmic rules to expand 2 |

Solve for x:3= ९0,
Find | (32° + 2x + 1) dx.

Use the fundamental theorem of calculus to find the area of the region under the line y= 2x +1

over the interval 1
Turn over

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