(b) `3(n-5)=21`, (e) `4(2-x)=8`

Solve the following equations: (a) 2(x+4)=12 (b) 3(n-5)-21 4) "-4(2+x)=8," (c) "4(2-x)-21],

{:( "Column" A ,, "Column" B) , ("If" a^(2) - b^(2) = 16 "and" a- b = 2 "," "then" a + b,, "(a)" 3x^(2) - x - 11), ("The degree of " (x-a) (x-b) (x - c) (x-d) ,, "(b)" 3x^(2) - x + 5), (4x^(2) + 20xy + 25y^(2) ,, (c) 8), ((5x^(2) + 7x -3)- (2x^(2) + 8x -8) ,, (d) 4), (,, (e) (4x + 5y) (x+ 5y)), (,,(f) (2x + 5y)^(2)):}

21. If lim_(xrarroo) e^(x^2) - cosx / (sin^2x) is equal to (a) 3 (b) 3/2 (c) 5/4 (d) 2

If n/2 - (3n)/4 + (5n)/6 = 21 , then n = ?

If cot^(-1)((n^2-10 n+21. 6)/pi)>pi/6, where x y<0 then the possible values of n is (a)3 (b) 2 (c) 4 (d) 8

If 2x=3y\ a n d\ 4y=5z , then x : z= (a) 4:3 (b) 8: 15 (c) 3:4 (d) 15 :8

Ifint(3e^x-5e^(-x))/(4e^x+5e^(-x))dx=a x+bln(4e^x+5e^(-x))+C ,t h e n (a) a=-1/8,b=7/8 (b) a=1/8,b=7/8 (c) a=-1/8,b=-7/8 (d) a=1/8,b=-7/8""

Ifint(3e^x-5e^(-x))/(4e^x+5e^(-x))dx=a x+bln(4e^x+5e^(-x))+C ,t h e n (a) a=-1/8,b=7/8 (b) a=1/8,b=7/8 (c) a=-1/8,b=-7/8 (d) a=1/8,b=-7/8""

Find possible values of 'a' such that f(x) =e^(2x) -2(a^(2) -21) e^(x)+ 8x+5 is monotonically increasing for x in R.