Top answers

Given that y={(x^2+4)(x−3)}/2x, find dy/dx in its simplest form.

Looking at the problem to start we can see that this is an algebraic division problemThere are three common methods you will come across for finding dy/dx for algebraic problems: The Chain Rule, The Product ...
MT
Answered by Meeza T. • Maths tutor
7901 Views

How do I deal with parametric equations? x = 4 cos ( t + pi/6), y = 2 sin t, Show that x + y = 2sqrt(3) cos t.

Note: I have a screenshot of the question that I should be able to add to the work space. Q5 C4 June 2014 Edexcel.x + y = 2sqrt(3) cos tStart with x = 4 cos ( t + pi/6) and the trig identity cos(A + B) = cos...
KD
Answered by Karina D. • Maths tutor
11014 Views

Prove that (1-cos2x)/sin(2x) = tan(x) where x ≠ nπ/2

Starting from the left hand side we can substitute the sin and cos sum and difference formulas. These are sin(A+B) = sinAcosB + cosAsinBand cos(A+B) = cosAcosB - sinAsinBBecause x = A = B when substituted th...
JB
Answered by Jed B. • Maths tutor
10494 Views

solve the inequality x^2+4x-21>0

First we should try and factorise the polynomial the brackets will be (x+?) and (x-?) as the coefficient of x and the -21 have differing signs.just thinking of the factors of 21 we can see that 7-3 = 4 the f...
JL
Answered by Jake L. • Maths tutor
4729 Views

How do you calculate the angle between two vectors?

The formula a x b = | a || b |sinθ is given in the formula bookletTherefore, θ, the angle between both vectors a and b is equal to sin -1 (( a x b )/(| a || b |))Remember, a x b can be found by multiplying a...
GT
6155 Views