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Solve : y^4 dx + 2xy^3 dy = ((ydx− xdy)/(x^3 y^3 )). |
prove that ln(x) is irrational for x natural |
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Solve: ydx − xdy +log xdx =0 |
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let f(x)= x^3 −x−1 1) prove that ∃ α ∈ ]1,2[ /f(α)=0 2) use the newton method with x_0 =(3/2) to find a better value for α (take onlly 5 terms) |
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Solve : (2(√(xy)) −x)dy + ydx = 0. |
Solve : (dy/dx) = ((sin y + x)/(sin 2y − xcos y)) . |
A block lying on a horizontal conv− eyor belt moving at a constant velocity receives a velocity 5m/s at t=0 sec. relative to the ground in the direction opposite to the dir− ction of motion of the conveyor. Aftert=4sec,the velocity of the block becomes equal to the velocity of the belt . the coefficient of friction between the block and the belt is 0.2 . then the velocity of the conveyor belt is: (g=10m/s^2 ) (A) 13 m/s (B) −13m/s (C)3m/s (D) 6m/s |
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(1/(1!))+(1/(2!))+(1/(3!))+....+(1/(2018!))=? |
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Solve : (dy/dx) = ((x+y)/(x−y)) |
let u_n =Σ_(k=0) ^n (3k+1)(−1)^k 1) calculate interms of n S_n =u_0 +u_1 +u_2 +....+u_n 2) calculate u_0 +u_1 +u_2 +....+u_(57) |
Q..cos^(−1) (1−2x^2 )=2sin^(−1) x,prove please |
use newton raphson method to approximate the positive root x^2 −1=0 correct to 4 decimal places perform 3 iteration only setting with x=2 |
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If A= [((4 −3)),((1 0)) ]use the fact that A^2 =4A−3I_2 and mathematical induction to prove A^n =(((3^n −1))/2)A +((3−3^n )/2)I if n≥1 |
∫ln ∣(√(x+1))+(√x)∣ dx= |
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Solve : (d^2 y/dx^2 ) = ((dy/dx))^2 |
If abc=8 and (1/a) + (1/b) + (1/c) = (3/2) then find the value of ab+bc+ca. |
Pg 1608 Pg 1609 Pg 1610 Pg 1611 Pg 1612 Pg 1613 Pg 1614 Pg 1615 Pg 1616 Pg 1617 |