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Preeti Dabral 2 years ago
The Venn diagram for (A∩B)′The shaded portion represents (A∩B)′
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Preeti Dabral 2 years, 3 months ago
Let y=f(x)=cosecx∴f(x+h)=cosec(x+h)∴dydt=limh→0f(x+h)−f(x)h=limh→0cosec(x+h)−cosecxh=limh→01h[1sin(x+h)−1sinx]=limh→0sinx−sin(x+h)h⋅sinx⋅sin(x+h)=limh→02cos(2x+h2)sin(−h2)h⋅sinxsin(x+h)=−limh→0cos(x+hh)sinx⋅sin(u+h)⋅limh→0sinh2h/2=−1cosxsinx⋅sinx⋅limz→0sinzz[z=h2; Then, z→0 when ⇒h→0]=−cosxsinx⋅sinx⋅1=−cosxsinx⋅1sinx=−cosecx.cotx∴dydx=−1csecx⋅cotx
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Preeti Dabral 2 years, 4 months ago
Here total number of digits = 10
Number of digits used (no digit is repeated) = 4
Since 0 cannot be filled in the fourth place, so number of permutations for fourth place = 9
Now the remaining three places can be filled with 9 digits.
∴ Number of permutations = 9P3
=9!6!=9×8×7×6!6!=504
Hence total number of permutations =9×504=4536
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Bhabish Pawar 8 months, 3 weeks ago
0Thank You