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A curve has equation 3x^4/3-16y^3/4=32. By differentiating implicitly find dy/dx in terms of x and y. Hence find the gradient of the curve at the point (8,1).

3x^4/3-16y^3/4=32Differentiating implicitly:4x^1/3-12y^-1/4(dy/dx)=0Simplifying and rearranging:x^1/3=3y^-1/4(dy/dx)dy/dx=1/3(x^1/3y

Answered by Ben G. • Maths tutor

3337 Views

Which was the more important cause of the development of the Cold War after 1945: - The Truman Doctrine, 1947 or -the formation of NATO, 1949?

The Truman Doctrine was a clear opposition towards communism and many historians regard it as the defining moment of when the Cold War began. In February 1947 Britain could no longer aid Greece agai...

Answered by Angharad D. • History tutor

4483 Views

How have the Big Six energy companies benefited from vertical and horizontal integration?

Vertical integration refers to the combination, within a single firm, or two or more stages of production, where each stage was previously undertaken by separate firms. For example, a vertically integrate...

Answered by Joshua D. • Economics tutor

5655 Views

Why was Stalin able to come to power in 1929?

There are a number of different points that can be used to answer this question and it should be noted that they all combined together to enable Stalin to take control. In the case of this question, the p...

Answered by Eleanor J. • History tutor

2841 Views

What is the link between electrical activity of the heart and its contraction?

The electrical current is produced in the SA node (the primary pacemaker of the heart) and travels to the AV node via fibres in the walls of the atria. These impulses cause the muscular walls of the atria...

Answered by Stephen M. • Biology tutor

5087 Views