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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 heavier bob has more kinetic energy/potential energy/momentum for any given amplitude of the two pendulums due to its larger mass, as each of these three quantities depend linearly on mass. The dampin...

There are three general plate boundaries: convergent, divergent and transform. (INSERT SIMPLE DIAGRAMS HERE)
Convergent
These occur when two tectonic plates collide and meet each other. A...

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...