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Find the first derivative of the line equation y=x^3 + 4

dy/dx = 3x^2

HF
Answered by Harry F. Maths tutor
3724 Views

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 X2 = X3 then X x 2 is simply 2X. So we are left with X3 + 2X. Both ...

BH
Answered by Benjamin H. Maths tutor
3429 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 betwee...

RD
Answered by Roman D. Maths tutor
7343 Views

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

  1. Draw sketch of line 2. Find gradient using m=(y- y1)/(x- x1)= 5--4/2--1=9-3=3 3. Choose one of the points and call it (a,b). I'll pick (2,5) because t...
BM
Answered by Ben M. Maths tutor
8541 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)° Therfo...

MG
Answered by Matthew G. Maths tutor
9354 Views

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