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Re: Nairaland Mathematics Clinic by jackpot(f): 9:40pm On Dec 19, 2014 |
Please, help Me with this The equation of a parabola is given by (x-2)2=32(y+1). Find i. The vertex ii. The focus iii. The equation of the directrix iv. The length of the Latus Rectum tags: benbuks, doubleDx, Laplacian, dejt4u, tohero, efficiencie, all math generals and sergeants |
Re: Nairaland Mathematics Clinic by tohero(m): 8:28am On Dec 20, 2014 |
jackpot: Comparing it to (x-h)2=4p(y-k) So that Vertex=(h,k) Focus=(h,k+p) Directrix is (y=k-p) Lenght of lactus rectum=(4p) The question is equivalent to (x-2)2=4*8(y-(-1)) Hence, Vertex=(2,-1) Focus=(2,7) Directrix is at y=-9 Lenght... =32 |
Re: Nairaland Mathematics Clinic by sorbentcrooner(m): 10:10pm On Dec 21, 2014 |
Hello house , kindly help out with ds. Thanks in anticipation: A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 18 hours slower than the third pipe. The time required by the first is? |
Re: Nairaland Mathematics Clinic by AlphaMaximus(m): 12:13pm On Dec 22, 2014 |
sorbentcrooner:Are you sure u typed in all the values correctly? because the answer I have gotten is a decimal and I think I ought not to have decimals since the others are integers. Confirm please. 1 Like |
Re: Nairaland Mathematics Clinic by tohero(m): 1:25pm On Dec 22, 2014 |
AlphaMaximus:Your solution might be right. It is not compulsory to have a whole no as an answer. Just convert your decimal part to terms of Minutes and Seconds |
Re: Nairaland Mathematics Clinic by AlphaMaximus(m): 1:55pm On Dec 22, 2014 |
tohero: sorbentcrooner:alright,here it is: let the fluid dissipation time of the first,second and third pipes be x,y and z respectively. from the info,when work is done(the filling of the tank) jointly by the first and second pipes the time taken is equivalent to the time taken by the third pipe working independently. mathematically,the formula for the time taken to complete work when two entities work jointly is: xy/x+y.......in that case, we have that: xy/x+y=z.......(1) Again,it was stated that the second pipe is 5hrs faster than the first and 18hrs slower than the third, mathematically: y=x-5, thus x=y+5.....(2) And, y=z+18, thus , z= y-18...(3) substituting (2) and (3) into (1) and simplifying, we have: y2-36y-90=0, and solving the quadratic equation ,we have that y=38.374.....recall that x=y+5, therefore,x=38.347+5=43.347hrs......thus the time required by the first pipe is 43.347hrs......for accuracy, it's 43.34698995hrs 1 Like |
Re: Nairaland Mathematics Clinic by Drniyi4u(m): 2:20pm On Dec 22, 2014 |
AlphaMaximus:r u sure equation (i) is correct?? |
Re: Nairaland Mathematics Clinic by AlphaMaximus(m): 2:24pm On Dec 22, 2014 |
Drniyi4u:yes,I'm sure. |
Re: Nairaland Mathematics Clinic by PatEinstEin(m): 3:01pm On Dec 22, 2014 |
AlphaMaximus:I thought as much AlphaMaximus:V/T1 + V/T2 = V/T3 .............(i) Where V/T is the rate of flow T2 = T1 - 5 = T3 + 18 T2 = T1 - 5 T3 + 18 = T1 - 5 T3 = T1 - 23 Substituting into (i) V/T1 + V/(T1 - 5) = V/(T1 - 23) 1/T1 + 1/(T1 - 5) = 1/(T1 - 23) (2T1 - 5)/(T12 - 5T1) = 1/(T1 - 23) T12 - 46T1 + 115 = 0 T1 = 43.347 hrs or 2.653 hrs 1 Like |
Re: Nairaland Mathematics Clinic by PatEinstEin(m): 3:23pm On Dec 22, 2014 |
Hailings Sir @AlphaMaximus I got the latest Oxford Advanced Learners Dictionary for your comments |
Re: Nairaland Mathematics Clinic by agentofchange1(m): 3:39pm On Dec 22, 2014 |
@ PatEinstEin ( m ), AlphaMaximus this's. benbuks. speaking ... greet thee. men & brethren.. happy solving... 1 Like |
Re: Nairaland Mathematics Clinic by AlphaMaximus(m): 3:43pm On Dec 22, 2014 |
PatEinstEin:hmmmm....a welcome approach...looks more technical than mine... PatEinstEin: |
Re: Nairaland Mathematics Clinic by AlphaMaximus(m): 3:51pm On Dec 22, 2014 |
agentofchange1:I hail you Sir Ben.... |
Re: Nairaland Mathematics Clinic by Nastydroid(m): 1:59am On Dec 23, 2014 |
AlphaMaximus:i prefer urs tho,i seems to understand it easily |
Re: Nairaland Mathematics Clinic by 2nioshine(m): 10:04am On Dec 23, 2014 |
wow! It has really been long....years i surpose.........nice work all .........*still following from the sidelines*..........#busytimes |
Re: Nairaland Mathematics Clinic by Makks777(m): 10:34am On Dec 23, 2014 |
f**k!...I just hate maths...can the world end already?! |
Re: Nairaland Mathematics Clinic by yusuflaw07(m): 12:49pm On Dec 23, 2014 |
sorbentcrooner: sorbentcrooner: Hello house , kindly help out with ds. Thanks in anticipation: A tank is filled by three pipes with uniform flow. The first two pipes operating simultaneously fill the tank in the same time during which the tank is filled by the third pipe alone. The second pipe fills the tank 5 hours faster than the first pipe and 18 hours slower than the third pipe. The time required by the first is? sorbentcrooner:question long like this |
Re: Nairaland Mathematics Clinic by agentofchange1(m): 9:49pm On Dec 28, 2014 |
Re: Nairaland Mathematics Clinic by yusuflaw07(m): 1:01pm On Dec 29, 2014 |
[color=#990000][/color]which math text book does it best in term of thorough explanation which math text book does it best in term of thorough explanation |
Re: Nairaland Mathematics Clinic by Kentnickole(m): 2:02pm On Dec 29, 2014 |
yusuflaw07: Comprehensive mathematics |
Re: Nairaland Mathematics Clinic by yusuflaw07(m): 2:17pm On Dec 29, 2014 |
Kentnickole:u know anything about engineering mathematics by k a stroud |
Re: Nairaland Mathematics Clinic by Kentnickole(m): 2:19pm On Dec 29, 2014 |
yusuflaw07: Yea! Thats also very good for engineering students. |
Re: Nairaland Mathematics Clinic by yusuflaw07(m): 2:20pm On Dec 29, 2014 |
Kentnickole: Kentnickole:yea.. m an engineering student |
Re: Nairaland Mathematics Clinic by Kentnickole(m): 4:04pm On Dec 29, 2014 |
yusuflaw07: For your mind now oooo! |
Re: Nairaland Mathematics Clinic by jackpot(f): 4:07pm On Dec 29, 2014 |
tohero:confam! |
Re: Nairaland Mathematics Clinic by jackpot(f): 2:41pm On Dec 31, 2014 |
Please, help Me with this Does the differential equation y"+sin(y')=0 has a degree? If Yes, what is the degree? If No, explain why. tags: benbuks, agentofchange1, tohero, doubleDx, Laplacian, dejt4u, tohero, efficiencie, all math generals and sergeants. |
Re: Nairaland Mathematics Clinic by agentofchange1(m): 3:45pm On Dec 31, 2014 |
jackpot: hay. my angel its me ben. I've deactivated the benbuks account ... its a second order. non-linear D.E .... with degree 1 |
Re: Nairaland Mathematics Clinic by tohero(m): 6:42pm On Dec 31, 2014 |
jackpot:YES! All differential equations has a degree! Some might not be seen easily until you rationalise them. In your case, the degree is one. Because one (1) is the power of the highest order(y'') in your differential equation. So I would define a DEGREE as the power of the highest order of a differential equation after it has been rationalised. 1 Like |
Re: Nairaland Mathematics Clinic by jackpot(f): 12:46am On Jan 01, 2015 |
tohero:What is the degree of the differential equation sin(y'')+y'=0.? Tags: agentofchange1, doubledx, tohero |
Re: Nairaland Mathematics Clinic by tohero(m): 1:20am On Jan 01, 2015 |
jackpot:One of the not easily seen degrees! Do some little combos using the sin-squares and u may get a result. Mind you, differential equations are usually models of a real life situation, you can't just form them. I wonder what kind of physical change will have such! Anyways, its a new year. So happy new year. 1 Like |
Re: Nairaland Mathematics Clinic by Nobody: 2:30am On Jan 01, 2015 |
jackpot: It's a 2nd order nonlinear ODE with degree 1 . Happy new year to y'all! |
Re: Nairaland Mathematics Clinic by Miscellaneous(m): 6:33am On Jan 01, 2015 |
doubleDx: why is it nonlinear? because of the "sin" ? |
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