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How can I demonstrate that (sin(T)+cos(T))(1-sin(T)cos(T))=(sin(T))^3+(cos(T))^3

You first develop the expression on the left side of the equation:(sin(T)+cos(T))(1-sin(T)cos(T))=sin(T)-sin^2(T)cos(T)+cos(T)-sin(T)cos^2(T)=sin(T)(1-cos^2(T))+cos(T)(1-sin^2(T))Now, you will need to use...

TC
Answered by Tabea C. Maths tutor
3047 Views

Find the integral of e^3x/(1+e^x) using the substitution of u=1+e^x

Differentiate U with respect to x to find dx in terms of du and substitute into the integral so that it is in terms of du, then using e^3x = (e^x)^3 and u = 1+e^x subsitute u in for x and simplify the int...

CF
Answered by Cory F. Maths tutor
4867 Views

dx/dt = -5x/2, t>=0. Given that x=60 when t=0, solve the differential equation, giving x in terms of t.

dx/dt = -5x/2 to solve this we must firstly separate the variables ∫2/x dx = -∫5 dt then we solve the integrals using basic integration formulae 2ln...

KS
Answered by Kulveer S. Maths tutor
5507 Views

Why do I have to study maths?

Maths is very important in real life. You use it day to day from basic addition and subtraction to working out percentage discounts in shops. Some of the more complex maths like algebra is used in fields ...

JP
Answered by Jack P. Maths tutor
2809 Views

Expand and simplify (x-4)(2x+3y)^2

(x-4) x (2x +3y)2
(x-4) x (4x2+12xy +9y2)
4x3+12x2y + 9xy2 -16x2-48xy - 36y2 ...

JT
Answered by James T. Maths tutor
2834 Views

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