Assignment 2 DUM 3272 MATHEMATICS 3

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ASSIGNMENT 2 – DUM 3272 1. a. Write a formula for the volume of a cube. (1m) b. The volume of an ice cube decreases at a constant rate of 6 cm 3 /s. Find the rate of change of its side when its length is 3 cm. (4m) 2. Given that Find when x = 27. Hence, find the approximate value of . (5m) 3. Integrate the following functions:- (4m) a. b. 4. Express the following function in partial fractions and hence find the integration for (6m)

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ASSIGNMENT 2 – DUM 3272

1. a. Write a formula for the volume of a cube. (1m)

b. The volume of an ice cube decreases at a constant rate of 6 cm3/s. Find the rate of change of its side when its length is 3 cm. (4m)

2. Given that Find when x = 27. Hence, find the

approximate value of . (5m)

3. Integrate the following functions:- (4m)

a.

b.

4. Express the following function in partial fractions and hence

find the integration for (6m)

5. Find the area bounded by the curve , ordinate x=1 and x=3 (5m)

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