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Integrate x((x^2)+2) dx

The first step is to multiply out the brackets so the function is in a form that can be integrated. X x X 2 = X 3 then X x 2 is simply 2X. So we are left with X 3 + 2X. Both parts of this function can be int...
BH
Answered by Benjamin H. • Maths tutor
3759 Views

There are 31 days in January. January 21st 2015 was a Wednesday. What day of the week was February 8th 2015?

First we need to know how many days are still remaining before the end of January. In this case it would be 10 since 31-21=10. We know that 8th of February is the 8th day of the month, so in total between Ja...
RD
Answered by Roman D. • Maths tutor
8234 Views

Find the equation of the straight line joining points (-1, -4) and (2, 5)

Draw sketch of line 2. Find gradient using m=(y 2 - y 1 )/(x 2 - x 1 )= 5--4/2--1=9-3=3 3. Choose one of the points and call it (a,b). I'll pick (2,5) because there's no negaitves. 4. Sub into equation y-b=m...
BM
Answered by Ben M. • Maths tutor
8939 Views

Solve, correct to 2 decimal places, the equation cot(2x)=3 for 0°<x<180°

To start, we use the inverse trigonometric formulae to convert the 'cot' function into a 'tan' function: cot(2x)=1/(tan(2x))=3 Inverting this gives: tan(2x)=1/3 2x=arctan(1/3)=18.43°or (180+18.43)° Therfore ...
MG
Answered by Matthew G. • Maths tutor
9798 Views

Solve x^2 = 4(x – 3)^2

Expanding and simplifying the right hand side: x 2 =4(x-3)(x-3)=4(x 2 -6x+9)=4x 2 -24x+36 Deducting 'x 2 ' from both sides: 0=3x 2 -24x+36 Dividing by 3 and factorising: 0=x 2 -8x+12=(x-6)(x-2) Therefore sol...
MG
Answered by Matthew G. • Maths tutor
3476 Views