The equation of a line is y=e(^2x)-9 and the line has points at (0,a) and (b,0). Find the values of a and b.

y=e2x-9. When x=0 y=a.a=e2(0)-9a=1-9=-8.
When x=b y=0.0=e2(b)-99=e2bln(9)=ln(e2b)ln(9)=2b(1/2)ln(9)=bln(9(1/2))=bb=ln3

Answered by Callum J. Maths tutor

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