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Curve D has equation 3x^2+2xy-2y^2+4=0 Find the equation of the tangent at point (2,4) and give your answer in the form ax+by+c=0, were a,b and c are integers.

Differentiate the equationdy/dx=6x+2x(dy/dx)+2y-4y(dy/dx)Set this equal to zero and solve for dy/dx which gives:dy/dx=(2y+6x)/(4y-2x)For x=2 and y=4 dy/dx=5/3(y-y_o)=m(x-x_o)y-4=(5/3)(...

Answered by Vasileios D. • Maths tutor

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Integrate 3x^2 + 4/3 x^5 with respect to x

3x³ /3 + 4x⁶/(6x3) = x³ + 2x⁶/9 + c

Answered by Ellis B. • Maths tutor

3644 Views

Factorise 4x + 52

4(x+13)

Answered by Nick S. • Maths tutor

3322 Views

How do you integrate a fraction when x is on the numerator and denominator?

Firstly, ensure both numerator and denominator are factorised fully so that any possible cancellations can happen - making it easy for yourself is always a good idea. Now, turn it into partial fractions. ...

Answered by Jack W. • Maths tutor

6756 Views

Factorise x^(2)+5x+6

To factorise we must think what two numbers add up to 5 but times together to get 6. We know it is two numbers because it is x^(2). If it was x^(3) there could be 3 numbers, ect. We think what goes into 6...

Answered by Tanya J. • Maths tutor

3484 Views