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Maths
A Level

A curve has the equation x^2 +2x(y)^2 + y =4 . Find the expression dy/dx in terms of x and y [6]

Integrate each term in terms of x, then integrate each term in terms of y Make sure you state in what form you are integrating. Remember if you are integration in terms of y, the x values are constants an...

Answered by Lavana C. Maths tutor
3014 Views

Find the location and nature of the turning point of the line y=-x^2+3x+2

Location is placed where the gradient is 0.Differentiate the line to get dy/dx = -2x + 3 and set it equal to zero.2x = 3 therefore x = 1.5.Plug back into the line equation to find the coordinate. y = -(1....

Answered by Euan R. Maths tutor
3220 Views

Integrate x^2 + 2x + 5x^-1

Answer: (x^3)/3 + x^2 +5 ln (x) .

Answered by John A. Maths tutor
2847 Views

Find the centre and radius of the circle with the equation x^2 + y^2 - 8x - 6y - 20 = 0.

The general equation of a circle takes the form (x - A)^2 + (y - B)^2 = r^2 where (A,B) is the centre of the circle with radius r. Thus, we aim to rearrange the equation in the question to match this form...

Answered by Thomas D. Maths tutor
6996 Views

Find R and a such that 7*cos(x)+3*sin(x)=Rcos(x-a)

Use the cosine trig identity, cos(a-b)=cos(a)cos(b)+sin(a)sin(b) ,to write Rcos(x-a) as R(cos(x)cos(a)+sin(x)sin(a)).Now we can equate the coefficients of the sines and cosins on either side of the equati...

Answered by Darius Y. Maths tutor
5119 Views

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