ln37quad (2c+3)/(21+2)=(3x-7)/(2x-3)

If a^(2) = log x, b^(3) = log y and (a^(2))/(2) - (b^(3))/(3) = log c , find c in terms of x and y.

Length of the tangents from the point (1,2) to the circles x^(2)+y^(2)+x+y-4=0 and 3x^(2)+3y^(2)-x-y-k=0 are in the ratio 4:3 , then k is equal to a) (37)/(2) b) (4)/(37) c)21 d) (39)/(4)

int(x^(3))/(x+1)dx is equal to x+(x^(2))/(2)+(x^(3))/(3)-log|1-x|+C(b)x+(x^(2))/(2)-(x^(3))/(3)-log|1-x|+C(c)x-(x^(2))/(2)-(x^(3))/(3)-log|1+x|+C(d)x-(x^(2))/(2)+(x^(3))/(3)-log|1+x|+C

If 3^x=4^(x-1) , then x= , (a) (2(log)_3 2)/(2(log)_3 2-1) (b) 2/(2-(log)_2 3) (c) 1/(1-(log)_4 3) (d) (2(log)_2 3)/(2(log)_2 3-1)

Find the integral int(1)/(sqrt((1-x)(2-x)))dx A. log(2x-3)+sqrt((2x-3)^(2)-1)+Cquad B. log(2x-3)-sqrt((2x-3)^(2)+1)+C C. log(2x+3)-sqrt((2x+3)^(2)-1)+Cquad D. log(2x+3)+sqrt((2x+3)^(2)+1)+C

If A=[(x,-2),(3,7)] and A^(-1)=[(7/34,1/17),((-3)/34,2/17)] ,then the value of x is

If A=[(x,-2),(3,7)] and A^(-1)=[(7/34,1/17),((-3)/34,2/17)] ,then the value of x is

Verify that int (2x-1)/(2x+3)dx=x-log(2x+3)^2+C

int (2x-1)/((x-1)(x+2)(x-3)) dx = A log|x-1|+ B log|x+2|+ C log|x-3|+ K , then A,B,C are respectively

If 3^x=4^(x-1) , then x= (2(log)_3 2)/(2(log)_3 2-1) (b) 2/(2-(log)_2 3) 1/(1-(log)_4 3) (d) (2(log)_2 3)/(2(log)_2 3-1)