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Maths
A Level

Solve the following equation, give the answer/answers as coordinates. y=3x^2 , y=2x+5.

>>> 2x+5=3x^2 >>> 3x^2-2x-5=0>>> (3x-5)(x+1)=0>>> x=-1 or x=5/3>>> therefore (-1,3) and (5/3,25/3)

Answered by BUSE O. Maths tutor
3448 Views

(x-4)^3

=(x-4)2(x-4)=(x2-8x+16)(x-4)=x3-4x2-8x2+32x+16x-64= x3-12x2+48x-64

Answered by Pavel B. Maths tutor
2738 Views

Find the first derivative of f(x) = tan(x).

First, use the trigonometric identity tan(x) = sin(x) / cos(x) to rewrite the function. It should now be very apparent that f(x) is now actually a ratio of two functions, and therefore the quotient rule w...

Answered by Henry R. Maths tutor
2832 Views

2(x^2)y + 2x + 4y – cos (PI*y) = 17. Find dy/dx using implicit differentiation.

This tests the students knowledge of differentiation rules as well as algebraic manipulation. Namely the product rule and implicit differentiation. Differentiate term by term and then isolate dy/dx using ...

Answered by Robbie M. Maths tutor
2744 Views

Find the equation of a Circle with centre (2,9) and radius 4.

In the form (x-x1)^2+(y-y1)^2=r^2
Hence equation is: (x-2)^2+(y-9)^2=16

Answered by Salman D. Maths tutor
3252 Views

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