(1)/(16x^(2)-9a^(2))

(64x^(3)-:27backslash a^(-3))^(-2/3)= a.(9ax)/(16) b.(9)/(16ax) c.(9)/(16x^(2)a^(2)) d.(3)/(4)x^(-2)a^(-2)

Find co - ordinates of foci, water length of major axis and minor aixs, eccentricity and length of latus rectum of following ellipse. Length of latus rectum of following ellipse. (1) 16x^(2) + 9y^(2) = 1 (2) 3x^(2) + 2y^(2) = 6 (3) 4x^(2) + 9y^(2) = 1 (4) (x^(2))/(49) + (y^(2))/(16) = 1 (5) 9x^(2) + 25y^(2) = 225 (6) 7x^(2) + 10y^(2) = 70 (7) 16x^(2) + 5y^(2) = 80

Find the co-ordinates of the vertices, the foci, the eccentricity and the length of latus-rectum of the hyperbolas : (a) (x^(2))/(9) -(y^(2))/(16) = 1 (b) (i) 16x^(2) - 9y^(2) = 576 (ii) y^(2) -16x^(2) = 1 (iii) 5y^(2) - 9x^(2) = 36 (iv) 49y^(2) - 16x^(2) = 784 .

The partial fractions of (1)/((x^(2)+9)(x^(2)+16)) are

(4x^(2)-11x+6)/(16x^(2)-9)

int(1)/(16x^(2)+9)dx is equal to

int(1)/(16x^(2)+9)dx is equal to

int(1)/(16x^(2)+9)dx is equal to