How many different arrangements of letters can be made by using all the letters of the word contact? In how many of these arrangements are the vowels separated?
Question
Erick
Separate 9/(x – 1)(x + 2)^2 into partial fractions.
Question
Erick
Resolve into partial fractions 5/(x^2 + x – 6)
Question
Erick
Find the values of p and q so that (x + 1) and (x – 2) shall be factors of x^3 + px^2 + 2x + q. what is then the third factor?
Question
Erick
Find the value of k if the remainder when the polynomial 2x^4 + kx^3 -11x^2 + 4x + 12 is divided by (x-3) is 60.
Question
Erick
Calculate log 5 and log 0.125, given that log 2 = 0.3010
Question
Erick
If x^2/y + y^2/x = 9, 1/x + 1/y = 3/4, find the values of the product xy and hence solve the given equations completely.
Question
Erick
Solve the simultaneous equations, x + y = 6, x^2y^2 + 2xy – 35 = 0
Question
Erick
Solve the pair of equations x^2 + 4xy + y^2 = 13, 2x^2 + 3xy = 8.
Question
Erick
If α,β are the roots of the equation x² – px + q = 0 , form the equation whose roots are α/β² and β/α².
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Edson
