Top answers

Solve the integral int(sin^2(x))dx

Knowing that 1-2sin 2 (x) = cos(2x), substitute sin 2 (x) as: sin 2 (x) = (1-cos(2x))/2Use the linearity of the integral to split it into: Int(1/2) - Int(cos(2x)/2)dxWhich is in the end:0.5x - 0.25 sin(2x) +...
MM
Answered by Maks M. • Maths tutor
1715 Views

Solve the simultaneous equations x^2 +8y=20 and y=x+4

To begin you must substitute the value of y provided into the first equation. The would change the equation into the following form:x^2+8(x+4)=20. Now expand the bracket so that the equation becomes:x^2+8x+3...
AM
Answered by Anthony M. • Maths tutor
3500 Views

Differentiate y=x^x with respect to x.

y=x^x, taking natural log of both sides ln(y)=ln(x^x), using laws of logs ln(y)=xln(x), using product rule and implicit differentiation dy/dx 1/y=ln(x)+1 dy/dx=(ln(x)+1)y dy/dx=(ln(x)+1)x^x
Answered by • Maths tutor
4706 Views

Explain the concept of internal economies of scale and the three stages of returns that can occur when firms increase their factors of production? Graphs maybe used in your answer

Internal economies of scale are centred around the relationship of a firm increasing its factors of production ie. its inputs and how this affects the average cost of producing goods. The general concept is ...
CK
Answered by Colm K. • Economics tutor
3372 Views

Solve the following simultaneous equations. x^2 + 2y = 9, y = x + 3

x^2 + 2y = 9y = x + 3 x^2 + 2y = 9x^2 + 2(x+3) = 9x^2 + 2x + 6 = 9x^2 + 2x - 3 = 0(x + 3)(x - 1) = 0x= -3, x = 1 when x = -3y = x + 3y = (-3) + 3y = 0 when x = 1y = x + 3y = (1) + 3y = 4
JF
Answered by John F. • Maths tutor
3087 Views