Top answers

Maths
All levels

The straight line joining the points (1, -2a),(a, 1) has a gradient of 5, find the value of a

m=y-y1/x-x15=1-(-2a)/a-15=1+2a/a-15(a-1)=1+2a5a-5=1+2a3a=6a=2

TB
Answered by Theo B. Maths tutor
3357 Views

Differentiate y=x^2 from first principles

y=x2dy/dx= Limh-->0( ((x+h)2-x2) / (x+h-x) )dy/dx= Limh-->0( (x2 + 2hx + h2 - x2) / h )dy/dx= Limh-->0...

DC
Answered by Dipayan C. Maths tutor
5109 Views

How to find the turning point on a curve?

The equation of the curve will be a quadratic i.e. it follows the form y=ax2+bx+cTo find the turning point, the quadratic will need to be solved using the completing the square method. This me...

MV
Answered by Muhammad V. Maths tutor
3454 Views

Solve 4log₂(2)+log₂(x)=3

First, we should look at the laws of logarithms.logax+logay=logaxylogax-logay=loga(x/y)klogax=logaxkWe ca...

Answered by Maths tutor
3021 Views

Prove that the difference between the squares of any two consecutive integers is equal to the sum of these two integers.

A problem of this nature seems complex at first until you break it down and see what it is really asking you to find. We can represent two consecutive integers as x and x + 1. The problem asks us to prove...

Answered by Maths tutor
14228 Views

We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences