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Differentiate 5x^3 + 4x^2 + 5x + 9

Differentiate 5x³ + 4x² + 5x + 9The rules from polynomial differentiation: d(axⁿ) / dx= a(nx^n-1) and df/dx + dg/dx = d (f+g) /dx and dn/dx = 0Using these rules...

Answered by Annabelle S. • Maths tutor

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Describe how the opening of Stravinsky’s 'Symphony of Psalms Movement III' sets a religious atmosphere within a secular symphonic genre

Stravinsky was commissioned to compose Symphony of Psalms by Serge Koussevitsky for the 50^thanniversary of the Boston Symphony Orchestra (1930). Although adhering to the formal design of a sec...

Answered by Phoebe P. • Music tutor

3421 Views

In 'A Streetcar Named Desire' there is not just one tragic hero. Stanley is just as much of a tragic hero as Blanche.' Discuss.

For an essay question like this, I would consider both sides of the statement and make around three main points. The main focus of the statement is the concept of the tragic hero, so the student should co...

Answered by Dayna M. • English Literature tutor

6382 Views

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

3341 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

4488 Views