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y=e^2x-9. When x=0 y=a.a=e²⁽⁰⁾-9a=1-9=-8.
When x=b y=0.0=e^2(b)-99=e^2bln(9)=ln(e^2b)ln(9)=2b(1/2)ln(9)=bln(9^(1/2))=bb=ln3

sec^2 x+ 2tan x = 0
use the fact that sec^2 x= tan^2 x +1
tan^2 x + 2tan x + 1 =0
(tan x +1)^2 = 0 tan x = - 1
x=3π/4, x= 7π/4

The equation given needs to be transformed into a more familiar equation of a circle which we know the properties of and are therefore able to find its centre. Do you know what type of equation im speakin...

To solve this question, we need to know how many balls there are altogether in Cliff's bag. In total, there are 20 balls (8+7+5). We know that 8 of the balls are greens, so by subtraction (20...