29Ans 2...Find the point of intersection of the curves that is x = 0 and x = 1...
then 2 0∫1√x = 4/3 and 2 0∫1x = 1..
on subtracting these areas u will get 1/3...
Ans.3 x = t2 + 3t - 8 y = 2t2 -2t - 5
dx/dt = 2t + 3 dy/dt = 4t - 2..
dy/dx = (4t - 2) / 2t +3..
at x= 2, y = -1 ..t = 2..
so dy/dx = 6/7..
Ans 4..this is a simple one just draw the graph..no need of integration here..btw the answer is π - 2...
Ans 5.. dr/dt = 0.7 cm/s
C = 2Ï€r...dC/dt = 2Ï€ dr/dt
= 1.4Ï€ cm/s
Ans 6..the possible orders of the matrix can be (18,1) , (1,18) , (2,9) , (9,2) , (3,6) , (6,3)..so the answer shud be 6