## EXERCISE 9.2

EXERCISE 9.2 1. Thus is strictly decreasing. 2. Thus is strictly increasing. 3. Thus is strictly increasing. 4. Thus is strictly decreasing 5. Thus is strictly decreasing. 6. Thus is strictly decreasing. Loading… … Read more

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EXERCISE 9.2 1. Thus is strictly decreasing. 2. Thus is strictly increasing. 3. Thus is strictly increasing. 4. Thus is strictly decreasing 5. Thus is strictly decreasing. 6. Thus is strictly decreasing. Loading… … Read more

EXERCISE 9.1 1. (a) (b) (c) (d) 2. (a) Then \quad for . And (b) and 3. (a) (b) (c) and 4. (b) … Read more

3. 4. 5. (1) becomes 6. 7. 8. 9. 10.

EXERCISE 7.5 9. Partial fraction decomposition Multiplying by Put into (2) Put in to (2) Substituting and into (1) 10. Partial fraction decomposition Multiplying by Put into Put into (2) Substituting … Read more

EXERCISE 4.2 3. (a) First derivative test Differentiating (1) w.r.t . Given that Sign analysis of By first derivative test, has relative minimum at Second derivative test differentiating (2) w.r.t . Thus by second derivative test has relative minimum at . 3. (b) First derivative … Read more

EXERCISE 7.4 Evaluate the integral. (1) Let then (1) becomes Since Then the last integral takes the form From (2) we have Since Substituting (4)-(6) into (3) (2) Then (1) becomes … Read more

Exercise 7.3 Evaluate the integral. (1) then (1) becomes From (2) substituting into (3). (2) then (1) becomes From (2) substituting into (3) (3) We know that then (1) becomes (4) … Read more

Integration by parts technique is used to solve problems in a simple way with complete steps. Evaluate the integral. Integrating by parts Here 2. Here Formula integration by parts: integrating by parts 3. Integrating by parts Again … Read more

1-30 Evaluate the integrals by making appropriate u-substitution. Let then (1) be comes Integrating w.r.t , we get 2. then (1) becomes From (2) Substituting into (3), we get 3. … Read more

1-4 Find the area of the surface generated by revolving the given curve about the -axis. 1. differentiating w.r.t Formula for the area of the Surface of revolution ( about -axis): Substituting (1) and (2) into (3) and integrating over the interval 2. differentiating … Read more