- So prove that - Solve the solutions: -: - - = 0.

Prove that e^x-2=0 has a solution between 0 and 1.

(iii)Prove that general solution of tan theta=0 is theta=npi; n in Z (iv)Prove that the general solution of cot theta=0 is theta=(2n+1)pi/2, n in Z

Solving the equation x^2+(i-7)x-(i-18)=0 , prove that the roots of the equation are not complex conjugate numbers.

Solve (x-3)/(x+4)lt0 and draw the graph of the solution set.

Problem Solving on Liquid Solutions

If 200 ml of 0.031 M solution of H _(2) SO_(4) is added to 84 ml of a 0.150 M KOH solution. What is the pH of the resulting solution? (log 7 = 0.845)

If 200 ml of 0.031 M solution of H _(2) SO_(4) is added to 84 ml of a 0.150 M KOH solution. What is the pH of the resulting solution? (log 7 = 0.845)

Explain how would you prepare the following dilute solution from more condentrated solution (a) 5L "of" 6.00 M H_2SO_4 from 18.0 M H_2SO_4 (b) 250 mL of 0.5 M CaCl_2 form 3.0 M CaCl_2 solution © 0.2 N H_2SO_4 500 mL from 3.0 M H_2SO_4

Solve the inequalities and write the solution set using intrerval notaion 6 + x - x^2 > 0