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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=e 2x -9. When x=0 y=a.a=e 2(0) -9a=1-9=-8. When x=b y=0.0=e 2(b) -99=e 2b ln(9)=ln(e 2b )ln(9)=2b(1/2)ln(9)=bln(9 (1/2) )=bb=ln3
CJ
Answered by Callum J. • Maths tutor
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Solve the equation sec^2 x+ 2tan x = 0, 0 ≤ x ≤ 2π. IB May 2017 Exam

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
MP
Answered by Michal P. • Maths tutor
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Why is a pendulum with a bob of the same size but larger mass than another bob damped more lightly?

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 damping i...
LS
Answered by Lucy S. • Physics tutor
11938 Views

Outline the three major tectonic boundaries and the associated tectonic features

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. As two types of litho...
ML
Answered by Matt L. • Geography tutor
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A circle, C, has an equation: x^2 + y^2 - 4x + 10y = 7 . Find the centre of the circle and its radius?

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 speaking o...
AA
Answered by Alex A. • Maths tutor
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