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

CJ

Related Maths A Level answers

All answers ▸

(A-Level) Find the coordinate of the stationary point of the curve y = 2x + 27/x^2


f ( x ) = 2 x ^3 − 5 x ^2 + ax + a. Given that (x + 2) is a factor of f ( x ), find the value of the constant a. (3 marker)


(A) express 4^x in terms of y given that 2^x = y. (B) solve 8(4^x ) – 9(2^x ) + 1 = 0


If f'(x)=3x(x - 1), find f(x)