`(3t-2)/(4)-(2t+3)/(3)=(2)/(3)-t`

solve the equation . (3 t - 2)/(4 ) - (2 t + 3)/(3) = 2/3 - t

Solve the following equations. (t+1)/(2)-(2t-1)/(3)=(t+3)/(3)+(t-2)/(4)

Solve the following linear equations. frac(3t - 2)(4) - frac(2t + 3)(3) = frac(2)(3) - t

If x=t^(2),y=t^(3), then (d^(2)y)/(dx^(2))=(a)(3)/(2)(b)(3)/((4t)) (c) (3)/(2(t)) (d) (3t)/(2)

If x=t^(2)andy=t^(3) , then (d^(2)y)/(dx^(2)) is equal to: a) (3)/(2) b) (3)/(2)t c) (3)/(2t) d) (3)/(4t)

Normals are drawn to the parabola y^(2)=4ax at the points A,B,C whose parameters are t_(1),t_(2) and t_(3) ,respectively.If these normals enclose a triangle PQR,then prove that its area is (a^(2))/(2)(t-t_(2))(t_(2)-t_(3))(t_(3)-t_(1))(t_(1)+t_(2)+t_(3))^(2) Also prove that Delta PQR=Delta ABC(t_(1)+t_(2)+t_(3))^(2)

x=f(t) satisfies (d^2x)/dt^2=2t+3 and for t=0, x=0, dx/dt=0 , then f(t) is given by (A) t^3+t^2/2+t (B) (2t^3)/3+(3t^2)/2+t (C) t^3/3+(3t^2)/2 (D) none of these

x=f(t) satisfies (d^2x)/dt^2=2t+3 and for t=0, x=0, dx/dt=0 , then f(t) is given by (A) t^3+t^2/2+t (B) (2t^3)/3+(3t^2)/2+t (C) t^3/3+(3t^2)/2 (D) none of these

If x=t^2,y=t^3,t h e n(d^2y)/(dx^2) is (a) 3/2 (b) 3/(4t) (c) 3/(2t) (d) (3t)/2

If x=t^2,y=t^3,t h e n(d^2y)/(dx^2) is (a) 3/2 (b) 3/(4t) (c) 3/(2t) (d) (3t)/2