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differentiate x^2 + y^3 + xy respect to x

2x + 3y2 * dy/dx + x * dy/dx +y 

XJ
Answered by Xianming J. • Maths tutor
3079 Views

dx/dt=-5x/2 t>=0 when x=60 t=0

dx/dt=-5x/2 Int(x, dx)=Int(-5/2, dt) ln(x)=-5t/2+c x=60 when t=0 ln(60)=c ln(x)=ln(60)-5t/2 x=eln(60)-5t/2 x=60/e5t/2

FD
Answered by Felix D. • Maths tutor
4480 Views

A curve is mapped by the equation y = 3x^3 + ax^2 + bx, where a is a constant. The value of dy/dx at x = 2 is double that of dy/dx at x = 1. A turning point occurs when x = -1. Find the values of a and b.

dy/dx = 9x^2 + 2ax + b

x = 2, dy/dx = 9(2)^2 + 2a(2) + b = 36 + 4a + b

x = 1, dy/dx = 9(1)^2 + 2a(1) + b = 9 + 2a + b

AR
2194 Views

Explain why an ice cube submerged in a drink melts faster than an ice cube on a kitchen surface (the drink, surface and room temperature are all equal). (3 marks)

(1) In the drink, all six faces are in contact with the liquid (or) On the kitchen surface, only one of the faces is in contact with a solid and the rest are in contact with the air (or) On the kitchen su...

AR
Answered by Alistair R. • Physics tutor
1691 Views

Solve the simultaneous equations x^2 + y^2 = 9 and y = 3x + 3

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