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Given that y=((3x+1)^2)*cos(3x), find dy/dx.

As why is in the for y=uv where u and v are funtions of x, dy/dx=u'v+v'u (where ' implies the derivative) u=(3x+1) 2 , v=cos(3x) therefore using the chain rule u'=2 3 (3x+1)=18x+6 and v'=-3sin(3x). Using thi...
WR
Answered by William R. • Maths tutor
4205 Views

x^2 - 10x + 33 ≡ (x - a)^2 + b. Work out the value of a and b.

x 2 - 10x + 33 ≡ (x - a ) 2 + b Work out the value of a and b . Our aim here is to write the expression on the left in the same form as the one on the right so that we can compare the two. Therefore, conside...
JC
Answered by Joshua C. • Maths tutor
12232 Views

How do you solve algebraic fractions with quadratics?

First you need to remove the fractions from each side, take the equation: (x+1)/(x+3) = (2x-1)/(3x-1) now multiply by x+3 to give x+1 = (2x-1)(x+3)/(3x-1) now multiply by (3x-1) to give (3x-1)(x+1)=(2x-1)(x+...
ER
Answered by Eleanor R. • Maths tutor
3906 Views

Integral of e^x*sinx

written out
JJ
Answered by Jamil J. • Maths tutor
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The line l is a tangent to the circle x^2 + y^2 = 40 at the point A. A is the point (2,6). The line l crosses the x-axis at the point P. Work out the area of the triangle OAP.

Firstly to work out the area of the triangle OAP we need to know the coordinates of the individual points O, A and P. O is the centre of the axis hence has coordinates (0,0). The coordinates of the point A h...
MQ
Answered by Mohammad Q. • Maths tutor
8061 Views