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Given y=2x(x^2-1)^5, show that dy/dx = g(x)(x^2-1)^4 where g(x) is a function to be determined.

y=2x(x²-1)⁵ --> y=uv, where u=2x; v=(x²-1)⁵--> thus product rule required.u'=2v'=10x(x²-1)⁴Product rule: dy/dx = uv' + v'uTherefore...

Answered by Sean H. • Maths tutor

4581 Views

In the presence of carbon monoxide, less oxygen is transported to the blood. Suggest why, in terms of bond strength and stability constants.

Point 1: Stability constant with CO is greater than with 02.Point 2: Bond with CO is stronger than with 02.Explanation: In haemoglobin a central Fe2+ ion in an octahedral complex compromising four dative ...

Answered by Amandeep D. • Chemistry tutor

3865 Views

What is the "Tragedy of the Commons" and how may it be solved?

The Tragedy of the Commons (also known as the Tragedy of Freedom in a Commons) is an economic situation in which individual economic agents choose to maximise their individual gain when using a shared res...

Answered by Rithik H. • Economics tutor

3000 Views

Explain why multicellular organisms needs to develop a specialised exchange system and transport system, yet unicellular organisms do not

Unicellular organisms have a large surface area to volume that is one cell thick, therefore they have a short diffusion distance and are metabolically inactive. Therefore, they can obtain sufficient oxyge...

Answered by Deepika K. • Biology tutor

26359 Views

Find the finite area enclosed between the curves y=x^2-5x+6 and y=4-x^2

Starting by factorising the curve equations: the first one factorises to y = (x-3)(x-2) and the second one becomes y=(2-x)(2+x). From this, a rough sketch of the curves can be drawn and it can be seen tha...

Answered by Ruby N. • Maths tutor

3963 Views