[" (ii) "(1)/(5x-4)],[" (iv) "(1)/(3x+4)]

Integrate the following with respect to x. (i) e^(3x) " " (ii) e^(5 - 4x) " " (iii) 1/((3x - 2)) " " (iv) 1/((5 - 4x)) .

Obtain the different coefficient of the following : (i) (x-1)(2x+5) (ii) (1)/(2x+1) (iii) (3x+4)/(4x+5) (iv) (x^(2))/(x^(3)+1)

Obtain the different coefficient of the following : (i) (x-1)(2x+5) (ii) (1)/(2x+1) (iii) (3x+4)/(4x+5) (iv) (x^(2))/(x^(3)+1)

which of the following expressions are polynomials ? Justify your answere, (i) 8 (ii) sqrt(3x)^(2)-2x (iii) 1-sqrt(5x) (iv) (1)/(5x^(-2))+5x+7 (v) ((x-2)(x-4))/(x) (vi) (1)/(x+1) (vii) (1)/(7)a^(3)-(2)/(sqrt(3))a^(2)+4a-7 (viii) (1)/(2x)

Find each of the following products: (i) (x - 4)(x - 4) (ii) (2x - 3y)(2x - 3y) (iii) ((3)/(4) x - (5)/(6) y) ((3)/(4)x - (5)/(6) y) (iv) (x - (3)/(x)) (x - (3)/(x)) (v) ((1)/(3) x^(2) - 9) ((1)/(3) x^(2) - 9) (vi) ((1)/(2) y^(2) - (1)/(3) y) ((1)/(2) y^(2) - (1)/(3) y)

Simplify : (4^(-1)x\ 3^(-1))^2 (ii) (5^(-1)-:6^(-1))^3 (2^(-1)+\ 3^(-1))^(-1) (iv) (3^(-1)x\ 4^(-1))^(-1)x\ 5^(-1)

Find the derivative of i) 2x-3/4 ii) (5x^(3)+3x-1)(x-1) iii) x^(-3)(5+3x) iv) x^(5)(3-6x^(-9)) v) x^(-4)(3-4x^(-5))

Obtain the differential coefficient of the following : (i) (x-1) (2x+5) (ii) (9x^(3)-8x+7)(3x^(2)+5) (iii) 1/(2x+1) (iv) (3x+4)/(4x+5) (v) (x^(2))/(x^(3)+1)

Simplify: {4^(-1)x\ 3^(-1)}^2 (ii) \ \ \ {5^(-1)-:6^(-1)}^3 (2^(-1)+\ 3^(-1))^(-1) (iv) {3^(-1)x\ 4^(-1)}^(-1)\ x\ 5^(-1) (4^(-1)-\ 5^(-1))-:3^(-1)