# Tutor profile: Imani N.

## Questions

### Subject: Chemistry

Which element in the second group is likely to be the most reactive? a) magnesium b) calcium c) beryllium d) strontium e) barium

Barium is likely to be the most reactive as it is the second to last element in that group and the reactivity of the group 2 Alkaline Earth Metals generally increases as you go down. This is due to the decrease in ionization energy which leads to lower activation energy and thus faster reactions.

### Subject: Calculus

f(x) = 3- 5x -2x^2 ; f(7-4x)= ?

f(7-4x)= 3 - 5(7-4x) - 2[(7-4x)^2)] = 3 - 35 + 20x -2(49-56x+16x^2) = 3 - 35 + 20x -98 +112x - 32x^2 =3 -35 -98 + 20x + 112x - 32x^2 = -130 + 132x - 32x^2

### Subject: Algebra

ln(3x - 2) = 1, then x = ?

ln (3x-2) = 1 is only true if: e^1= 3x-2 [e^1 = e ] Thus: e+2= 3x ; x= (e+2)/3

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