Top answers

Solve the equation sec^2 x + 2tanx = 0 , 0 ≤ x ≤ 2π, question from HL Maths exam May 2017 TZ1 P1

We start with sec^2 x + 2tanx = 0 for 0 ≤ x ≤ 2π Note 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 or x=7π/4
MK
Answered by Michał K. • Maths tutor
7266 Views

y is proportional to x^2 and that when y = 75, x = 5. Find a formula for y in terms of x and find y when x=3

In a proportional equation, you represent the factor of proportionality as k. In this case it means that y=kx^2. In the question you're given a number for both y and x. Sub these in in order to solve for k. ...
KI
Answered by Kesem I. • Maths tutor
4913 Views

Factorise completely x-4x^3

Take out all common factors, in this case only x. This leaves you with x(1-4x^2).Within the brackets you now have a quadratic equation which you can factorise. You need to find factors of -4x^2 that plus to ...
KI
Answered by Kesem I. • Maths tutor
7031 Views

How to find the exact formula of the function if the graph of it is given?

To begin with, answering this question requires basic knowledge of simple Mathematical function and ability to solve simultaneous equations. One thing you need to be able to do is recognising what kind of fu...
JZ
Answered by Jokubas Z. • Maths tutor
3141 Views

Example of product rule - if y=e^(3x-x^3), what are the coordinates of stationary points and what are their nature?

Given this is a maths problem a whiteboard will be heavily relied upon, but I'll do my best to get the appropriate notation here.Starting with y=e 3x-x^3 , we have to get to the stationary points and find wh...
DD
Answered by Dylan D. • Maths tutor
3899 Views