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Solve the equation 2cos2(x) + 3sin(x) = 3, where 0<x<=π

x = π/6, 5π/6, π/2
BC
Answered by Ben C. • Maths tutor
6050 Views

Make A the subject of the following formula: S = UT + 1/2AT^2

The important thing to remember when rearranging equations is whatever you do to one side must be balanced with the other.1) So in this case, the first thing we want to do is to leave the term with A in it (...
TC
Answered by Thomas C. • Maths tutor
46215 Views

A curve has equation y = 20x -x^(2) - 2x^(3). The curve has a stationary point at the point M where x = −2. Find the x coordinates of the other stationary point.

First you must differentiate the given equation. This give you 20-2x-6x 2 . Since we are told that one of the stationary points is at x=-2, this is one of the factors of the differential equation. Meaning th...
LW
Answered by Lawrence W. • Maths tutor
4128 Views

Why do you get e^x when you differentiate e^x

It all comes down to the how e is defined. e=1+(1/1!)+(1/2!)+(1/3!) all the way up to (1/infinity). e^x is equal to 1 + (x/1!)+((x^2)/2!)+((x^3/3!)) and again continues on to ((x^infinite)/factorial of infin...
CE
Answered by Curtis E. • Maths tutor
3958 Views

Integrating sin^5(x)cos(x) (in slow logical steps)

Step 1: Make a substitution for u=Sin(x) differentiate that function to show du/dx =Cos(x)Step 2: Rearrange for dx to show dx=1/Cos(x) du and replace the dx in your original integral to show (integral symbol...
CE
Answered by Curtis E. • Maths tutor
3827 Views