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" If "(pi)/(4)(ln)*[[2,-3],[-4,7]]," Rar...

" If "(pi)/(4)(ln)*[[2,-3],[-4,7]]," Rarid for show that "2A^(-1)=91-A

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The largest interval lying in (-pi/2,pi/2) for which the function [f(x)=4^-x^2+cos^(-1)(x/2-1)+log(cosx)] is defined, is (1) [0,pi] (2) (-pi/2,pi/2) (3) [-pi/4,pi/2) (4) [0,pi/2)

The largest interval lying in (-pi/2,pi/2) for which the function [f(x)=4^-x^2+cos^(-1)(x/2-1)+log(cosx)] is defined, is (1) [0,pi] (2) (-pi/2,pi/2) (3) [-pi/4,pi/2) (4) [0,pi/2)

The largest interval lying in (-pi/2,pi/2) for which the function [f(x)=4^-x^2+cos^(-1)(x/2-1)+log(cosx)] is defined, is (1) [0,pi] (2) (-pi/2,pi/2) (3) [-pi/4,pi/2) (4) [0,pi/2)

If int_(log 2)^(x)(1)/(e^(x)-1)dx = log""(3)/(2) , show that x = log 4

If x = log_(2a)^(a) , y = log_(3a)^(2a) and z = log_(4a)^(3a) show that xyz = 2yz - 1.

If a^(2) + b^(2) = 7 ab, show that log ((a + b)/(3)) = (1)/(2) (log a + log b ).

If a^(2)+b^(2)=7ab show that log[1/3(a+b)]=1/2(log a+logb)

Let f(x)=(1-sin x)/((pi-2x)^(2))*(ln(sin x))/(ln(1+pi^(2)-4 pi x+4x^(2))),x!=(pi)/(2). The value of f((pi)/(2)) so that the function is continuous at x=(pi)/(2) is: