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When would I use the quadratic formula?

You would use the quadratic formula when trying to find the value of a variable such as x in a quadratic equation but it can not be successfully factorised with whole numbers. Treating the the equation in th...
EO
Answered by Emily O. • Maths tutor
5340 Views

How do you differentiate 2 to the power x?

let y=2 x {take natural logs of both sides} ln y = ln(2 x ) {use rules of logs to change right hand side} lny = xln2 {differentiate implicitly} 1/y . dy/dx = ln2 {make dy/dx the subject} dy/ dx = y ln2 {writ...
JR
Answered by Jack R. • Maths tutor
164106 Views

Solve the equation cos2x - 5cosx = 2

cos2x= 2cos^2x - 1 2cos^2x - 1 - 5cosx = 2 Let cosx = y 2y^2 - 5y - 3 = 0 (2y + 1)(y + 3) = 0 y = -1/2 or -3 cosx = -1/2 or -3 x = 120 degrees
PV
Answered by Pearl V. • Maths tutor
14066 Views

Expand the expression (1+3x)^1/3 up to the term x^3.

= 1 + 3x 1/3 + (1/3 -2/3)(3x)^2 + (1/3*-2/3*-5/3)(3x)^3 = 1 + x - 2x^2 + 10x^3
PV
Answered by Pearl V. • Maths tutor
17663 Views

Pushing a mass up a slope and energy

Please note: knowledge of the SUVAT equations, friction and trigonometry is required for this thread. Energy comes in many forms, and here we will focus on kinetic energy (KE) and potential energy (PE). Belo...
DS
Answered by Daniel S. • Maths tutor
13965 Views