[4[a2^(x-1)+2^(x+1)=320," in "xbar(cb)]" 41- "(1)/(8):],[[" (a) "6," (b) "8," (c) "5]]

If 2^(x-1)+2^(x+1)=320, then find the value of x.

"If A" = [{:(x^(2), y), (5, -4):}] " and "A=A^(-1), " then find " [{:(x^(3), y+x), (1, 2x^(2) + y):}]^(-1) (a) (1)/(41)[{:(8, 1), (-1, 5):}] (b) (1)/(41)[{:(5, 8), (1, -1):}] (c) [{:(5, 1), (-1, 8):}] (d) (1)/(41)[{:(5, 1), (-1, 8):}]

Let f(x)=cos(a_1+x)+1/2cos(a_2+x)+1/(2^2)cos(a_3+x)+ ........+ 1/(2^(n-1))cos(a_n+x) where a)1,a_2 a_n in Rdot If f(x_1)=f(x_2)=0,t h e n|x_2-x_1| may be equal to (a) pi (b) 2pi (c) 3pi (d) pi/2

Let f(x)=cos(a_1+x)+1/2cos(a_2+x)+1/(2^2)cos(a_3+x)+ ........+ 1/(2^(n-1))cos(a_n+x) where a)1,a_2 a_n in Rdot If f(x_1)=f(x_2)=0,t h e n|x_2-x_1| may be equal to (a) pi (b) 2pi (c) 3pi (d) pi/2

If (1 + ax + b x^2)^4 = a_0 +a_1 x + a_2 x^2 +...+a_8 x^8 when a,b,a_0,a_1,a_2...,a_8 in R such that a_0+a_1+a_2 != 0 and |(a_0,a_1,a_2),(a_1,a_2,a_0),(a_2,a_0,a_1)|=0 then the value of 5a/b (A) 6 (B) 8 (C) 10 (D) 12

The domain of definition of the function f(x)=sqrt(sin^(-1)(2x)+pi/6) for real-valued x is (a) [-1/4,1/2] (b) [-1/2,1/2] (c) (-1/2,1/9) (d) [-1/4,1/4]

The domain of definition of the function f(x)=sqrt(sin^(-1)(2x)+pi/6) for real-valued x is [-1/4,1/2] (b) [-1/2,1/2] (c) (-1/2,1/9) (d) [-1/4,1/4]