Page 259 - DECO403_MATHEMATICS_FOR_ECONOMISTS_ENGLISH

Mathematics for Economists

Note
Questionnaire 16.2
Solve Yourself :

1. Find :  x 2 cos x dx

2. Find the Integration :  (8  7 ) dx
x
7
1
3. Find the values of the following: 0  2 cos x dx
2
4. Find :
dx sin x
(i)  a  x 2 (ii)  sin(x   ) dx -
2
5. Integrate:
dx
(i)  4x 2 x  3 (ii)  4x  9
3
2
 4
2
(iii)  x 2 x  3x  2 dx (iv)  x e dx
3 x
6. Find the value of the followings:
e 3x 3x
(i) (ii)
1  e 3x (3x  1) (x  3)
3
(iii) x log x, (iv) sin (ax + b).
7. Find total costs function f (x) if x = Total production.
(i) ` 100 Total costs at 3x – 4 x + 5, x = 0.
3
100
(ii) ` 100 Total costs at , x  0 .
x
(iii) 6.75 – 0.0006 x, x = 0, total costs = ` 10,485
8. Find:
(i)  5 x x dx (ii)  14 x dx
3
1 1
(iii)  3 (1  5x  x 3 ) dx (iv)  3 (e 2x  e x ) dx
1 1
2
9. Find the consumer saving if Demand function curve is p = 33 – 3x – 2x and x = 3 unit.
10. If p = ` 5 then How much will be the consumer saving on Demand Function p = 100 – 2x . If p
3
= 0 then what will be the saving?
Self Assessment

2. Multiple Choice Questions:
4. Total Costs = .......................?

(a)  Marginal Costs (b)  Total Costs (c)  Total Profit (d)  loss

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