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Given that 4 sin(x) + 5 cos(x) = 0 , find the value of tan x .

Before we get started with answering the question, it is generally good practice to write down any formulas and equations you know that will help us work through the solution. So what formula do we know that...
VC
Answered by Varun C. • Maths tutor
13751 Views

Differentiate cos(2x)/(x) with respect to x

-cos(2x)/(x 2 ) - 2sin(2x)/(x)
MS
Answered by Marcus S. • Maths tutor
6230 Views

If z is a complex number, solve the equation (z+i)* = 2iz+1 where the star (*) denotes the complex conjugate.

For questions like these it's easier to first rewrite z as z=x+iy. Once we plug this back into the original equation we get x-iy-i = 2ix-2y+1 Rearranging both sides to group together the real and imaginary t...
AA
Answered by Aysha A. • Maths tutor
14303 Views

y=4x/(x^2+5)

Find dy/dx Remember quotient rule dy/dx=(u'v-v'u)/v^2 u=4x u'=4 v=x^2+5 v'=2x dy/dx=(20-4x^2)/(x^2+5)^2 (simplified)
JS
Answered by Jeppe S. • Maths tutor
6862 Views

What is the indefinite integral ∫5exp(3-4x)dx ?

∫ 5e 3-4x dx=5∫e 3 e -4x dx=5e 3 ∫e -4x d=5e 3 [(-1/4)e -4x ]=-(5/4)e 3 e -4x =-(5/4)e 3-4x
AM
Answered by Alexandros M. • Maths tutor
6801 Views