Find the greatest angle in the triangle whose sides are `x^2+x+1`,2x+1,`x^2-1`

Find the greatest angle of the triangle whose sides are 3, 5 and 7 cms.

Find the greatest value of x^2 log x in the interval [1,e]

Find the greatest coefficient in the expansion of (1 + x)^16

Find the sldpe of the tangent to the curve y(x^2+1) =x at the point (1,1/2)

1 and 2 are the numerals of both numeral system whose basis are x and 2x+1 . If decimal conversion of (21)_x is y, then show that the decimal conversion of (21)_(2x+1) is 2y+1 .

Find the inclination of the tangent to the curve 2y = 2-x^2 at the point(1,1/2)to the positive X-axis.

(21)_x and (25)_(x+2) are two numbers in two numeral system whose bases are x and x+2 . If their decimal conversion are y and 2y-1 respectively, find x and y.

Find the domain of the following functions given by f(x)=(x^2+2x+1)/(x^2-8x+12)