Please try to solve the problems / exercises below. Similar problems will be coming out in our quiz next meeting. I will give only 4 exercises/problems in our quiz. Refer to your notes as guide for the solutions.
- Evaluate ∫ 3 x cos 2x dx.
- Evaluate ∫ dx/(1 +√16x)
- Evaluate ∫ dx/(16-x2)3/2
- A population is growing with instantaneous growth rate of 300 + 3 – 2t organisms per minute after t minutes. If the initial population is 2000, what is the population after 5 minutes
5. Find the area bounded by the line x + 2y = 8 and the coordinate axes.
6. Find the area bounded by a parabola y = 2x ^{2} from x = 0 and x =7 by a) vertical element b) horizontal element method. Graph.
6. Find the area enclosed by the curves y =√8x and y = x ^{2} by vertical and horizontal element methods. Graph.
7.Find the area bounded by the curve y = x ^{2 and y = 4. Graph. ans. 32/3}
8. Find the equation of the curve whose slope is three times its abcissa and passed point (2,1).
ans . y= (3/2) x 2 – 5. Use indefinite integration.
ibezimako
/ October 26, 2012thank u, please can u paste some more ….
vicodar
/ October 27, 2012Just study your book and follow my discussion. Dont be absent.