1. Ify (sin x) then show that: i) (1-x)y2-xy-2=0 ii) (1-x)y+2-(2n+1)xy+-ny =0 x(x+3);x=[-3,0] 2. State Rolle's...

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1. Ify (sin x) then show that: i) (1-x)y2-xy-2=0 ii) (1-x)y+2-(2n+1)xy+-ny =0 x(x+3);x=[-3,0] 2. State Rolle's Theorem and verify the theorem for f(x) = x(x+3); 3. Evaluate: x 0 tan x 4. Find the asymptotes of the curve: (+x)(b+x)=x.y 5. Find the pedal equation of the curve r = a cos 20 x/4 6. Evaluate 4 (sin x+cosx) Jo (9+16sn2x) dx =a 7. Use Beta Gamma function to evaluate x2ax-x.dx ex/2. 8. Evaluate by using the rule of differentiation under the sign of integration. sin bx x .dx 1. Ify (sin x) then show that: i) (1-x)y2-xy-2=0 ii) (1-x)y+2-(2n+1)xy+-ny =0 x(x+3);x=[-3,0] 2. State Rolle's Theorem and verify the theorem for f(x) = x(x+3); 3. Evaluate: x 0 tan x 4. Find the asymptotes of the curve: (+x)(b+x)=x.y 5. Find the pedal equation of the curve r = a cos 20 x/4 6. Evaluate 4 (sin x+cosx) Jo (9+16sn2x) dx =a 7. Use Beta Gamma function to evaluate x2ax-x.dx ex/2. 8. Evaluate by using the rule of differentiation under the sign of integration. sin bx x .dx