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Nairaland Forum / Nairaland / General / Education / Bring All Calculus(differentiation And Integration) Problems For Solution (8029 Views)
Mathematics (basic Differentiation Class And Skill) / Calculus Mental Challenge (CMC) WINNER ::::::::::::DRNIYI4U:::::::::: / Withheld/concealed/incomplete Jamb Results To Drop Complaint Here For Solution (2) (3) (4)
Bring All Calculus(differentiation And Integration) Problems For Solution by pmann(m): 8:41pm On May 06, 2008 |
Calculus which comprises of both differentiation and integration is the bed rock of engineering, technology and some sciences. If you intend studying any of the above discipline mostly engineering and technology, a very sound knowledge of calculus is required of you. You can hardly cope in engineering or technology if you don't have a sound knowledge of calculus. infact there is a level you will get to that you will need calculus in almost every area of your discipline. Please do not joke with calculus for it is the bed rock of engineering and all related fields. bring all your question let reason together so that we can find solutions to them all. 1 Like |
Re: Bring All Calculus(differentiation And Integration) Problems For Solution by pmann(m): 12:12pm On May 07, 2008 |
Can any one find d2y/dx2 for the following if: 1. y = 4x4 + 10x2 2. y = (5x3 - 50x)4 |
Re: Bring All Calculus(differentiation And Integration) Problems For Solution by Ibime(m): 2:40pm On May 08, 2008 |
^^^OK, you like tough Calculus questions? Oya solve this one: An open-ended rectangular water tank of diameter 3.1m contains water which flows out through a tap at the bottom. The taphole has a diameter of 0.075m. The height of the water is 3.5m at time t0 and take the density of the water as 7100Kgm-3. If the velocity at the taphole is V = sqrt(2gh) where h(t) is the instantaneous height and gravity is 9.81ms-2, find the time taken to empty the container. Hint: You need to integrate dh/dt |
Re: Bring All Calculus(differentiation And Integration) Problems For Solution by MyTempID: 3:58pm On May 08, 2008 |
ebaneo: I beg to differ. For the second one, expansion using pascal's triangle would just make things more complicated than they should be. Chain rule is enough to differentiate that function. 1 Like |
Re: Bring All Calculus(differentiation And Integration) Problems For Solution by MyTempID: 4:00pm On May 08, 2008 |
pmann: y = 4x4 + 10x2 dy/dx =16x3 + 20x d2y/dx2 = 48x2 + 20 (5x3 - 50x)4 dy/dx = 4(5x3 - 50x)3*(15x2-50) dy/dx = (5x3 - 50x)3*(60x2-200) d2y/dx2 = [3*(5x3-50x)2*(15x2-50)*(60x2-200)] + 120x*(5x3 - 50x)3 |
Re: Bring All Calculus(differentiation And Integration) Problems For Solution by bawomolo(m): 5:50pm On May 08, 2008 |
ah well u guys want a tough question. find the maximum value of cosine(x^2-y^2) if x^2+y^2=1 find the value of the closed integral of (ydx + xdy + zdz) if x^2+y^2 = z , z<= 1 find the area of a circle if x^2 + y^2=4 find a vector field whose divergence is 1 + 3y^2 + xy find the curl of x^2yi + 2xj + 3zyK find the path integral if f = x^2+y^2 + z and c(t) = (sint,cost,t) t range from [0,1] |
Re: Bring All Calculus(differentiation And Integration) Problems For Solution by Ibime(m): 6:21pm On May 08, 2008 |
bawomolo: Max cosine = Cosine of zero = 1. Using that logic and knowing that x2 or y2 cannot be negative, I would say that both x2 and y2 are definitely less than 1. So . . . . . . . If x2 = 0.5 and y2 = 0.5, then x2 - y2 = 0 and cosine(0) = 1 Tentatively, I will suggest that the max value of cosine(x2-y2) = 1 I could be wrong. It sounds too obvious to be true. |
Re: Bring All Calculus(differentiation And Integration) Problems For Solution by Ibime(m): 6:43pm On May 08, 2008 |
bawomolo: If this is a circle with centre (0,0), then the radius is 2, just apply pie x r2 or 4 x pie = 88/7 = 12.5714m2 |
Re: Bring All Calculus(differentiation And Integration) Problems For Solution by bawomolo(m): 7:11pm On May 08, 2008 |
we technically are supposed to solve them using calculus |
Re: Bring All Calculus(differentiation And Integration) Problems For Solution by pmann(m): 8:53pm On May 08, 2008 |
you guys are great mathematicians. please help out with the following questions. 1. integrate (x2 - 16)1/2dx 2. integrate sin4xdx |
Re: Bring All Calculus(differentiation And Integration) Problems For Solution by Ibime(m): 9:02pm On May 08, 2008 |
bawomolo: O-boy, I don almost forget all the methods for Calculus except Taylor's theorem cos now I mostly deal with P.D.E's and na computer we dey use solve everything so I got to use Ibo man sense solve the questions. |
Re: Bring All Calculus(differentiation And Integration) Problems For Solution by bawomolo(m): 3:22am On May 10, 2008 |
pmann: damn this are tough ones, got to use a table lol |
Re: Bring All Calculus(differentiation And Integration) Problems For Solution by MyTempID: 6:31am On May 12, 2008 |
they're not so bad. here's one, i'll work on the other one later.
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Re: Bring All Calculus(differentiation And Integration) Problems For Solution by pmann(m): 12:22pm On May 13, 2008 |
I need help on diesel engines( those with 4 and 6 cylinder for a start). My question is what really causes the upward and downward movement of the piston i.e what causes combustion in diesel engines? How does gasoline engines differs from diesel engines? |
Re: Bring All Calculus(differentiation And Integration) Problems For Solution by Kindy: 4:18pm On May 17, 2008 |
Dear Friends, Please, help solve this maths for me: 1. Show that (1 + sin x )(1 + secant x) = Tan x (1 + cosine x)(1 + cosecant x) (please, note: it is numerators (1 + sin x)(1 + secant x) over denominators 1 + cosine x) (1 + cosecant x) = Tan x) 2. Express the following angles in degrees (i) 370 (ii) -430 10' (i.e. 10' is 10 seconds) 3. Express the following angle sin radiant (i) 21 radiant (ii) п radiant (i.e. pie over 12) 12 Please, give details so I can learn, if possible send to my email: challomkindy@yahoo.co.uk Many thanks. Kindy |
Re: Bring All Calculus(differentiation And Integration) Problems For Solution by bawomolo(m): 1:10am On May 18, 2008 |
pmann: diesel engines are compression ignition engines that self-ignite. gasoline engines are usually spark-ignition engines that require a spark plug to combustion. diesel engines have hire fuel efficiency while gasoline engines have higher volumetric efficiency. gasoline engines use an homogenous mixture diesel engine while use an heterogenous mixture. diesel engines have an higher compression ratio(16:1 to 24:1) than gasoline engine. i believe diesel engines run at an equivalent air-fuel ratio while gasoline engines are usually lean(more air than fuel). diesel engines use fuel with high cetane numbers while gasoline engines use fuel with high octane numbers. |
Re: Bring All Calculus(differentiation And Integration) Problems For Solution by MyTempID: 2:38am On May 18, 2008 |
Kindy: I think you meant 2. Express the following angles in radians (i) 370 (ii) -430 10' (i.e. 10' is 10 seconds) 3. Express the following angles in degrees (i) 21 radiant (ii) п radiant (i.e. pie over 12) 12 I'll provide solutions soon enough. |
Re: Bring All Calculus(differentiation And Integration) Problems For Solution by MyTempID: 2:56am On May 18, 2008 |
Here
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Re: Bring All Calculus(differentiation And Integration) Problems For Solution by Nobody: 3:37pm On Nov 12, 2013 |
Calculus must nt die... |
Re: Bring All Calculus(differentiation And Integration) Problems For Solution by Nobody: 3:38pm On Nov 12, 2013 |
More calculus questions pls. |
Re: Bring All Calculus(differentiation And Integration) Problems For Solution by Nobody: 4:38pm On Nov 12, 2013 |
Try this simple1 y=x^4 +5x^3 -6x^2 +7x -3 compute its diffrential coefficient hence or other wise obtain the equation of tangent to the curve and normal. |
Re: Bring All Calculus(differentiation And Integration) Problems For Solution by Nobody: 8:32pm On Nov 12, 2013 |
benbuks: Try this simple1 y=x^4 +5x^3 -6x^2 +7x -3..who is tryin dis.? |
Re: Bring All Calculus(differentiation And Integration) Problems For Solution by 2nioshine(m): 9:28pm On Nov 12, 2013 |
Ibime: ^^^OK, you like tough Calculus questions? Oya solve this one:...I dont really fink this is tough enough..... Ibime: ^^^OK, you like tough Calculus questions? Oya solve this one:...I dont really fink this is tough enough..... |
Re: Bring All Calculus(differentiation And Integration) Problems For Solution by Nobody: 9:29am On Nov 13, 2013 |
Nice thread! joining in...greetings to all the Engineers/Engineering students, Mathematicians/Math gurus and other CALCULUS lovers on the thread! 1 Like |
Re: Bring All Calculus(differentiation And Integration) Problems For Solution by Kendzyma(m): 10:00am On Nov 13, 2013 |
benbuks: Try this simple1 y=x^4 +5x^3 -6x^2 +7x -3equatn at point wat? |
Re: Bring All Calculus(differentiation And Integration) Problems For Solution by Nobody: 12:33pm On Nov 13, 2013 |
benbuks: Try this simple1 y=x^4 +5x^3 -6x^2 +7x -3..sorry at x=-2 |
Re: Bring All Calculus(differentiation And Integration) Problems For Solution by Juwon277: 11:46pm On Nov 15, 2013 |
pls help me and solved dis one. show dat 1-cosx=2sin^21/2x |
Re: Bring All Calculus(differentiation And Integration) Problems For Solution by Nobody: 7:14pm On Nov 16, 2013 |
Ok, where are the calculus gurus na, safe the life of this thread na.. |
Re: Bring All Calculus(differentiation And Integration) Problems For Solution by Nobody: 8:03pm On Nov 16, 2013 |
How do i master sophomore's dream pls.? |
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