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Given that the binomial expansion of (1+kx)^n begins 1+8x+16x^2+... a) find k and n b) for what x is this expansion valid?

a) We compare the expansion given to the standard binomial expansion (remembering the powers of k).(1+kx) n =1+n(kx)+(n(n-1)/2)(kx) 2 +...As this is true for all x (for which the expansion holds), we can com...
GC
Answered by George C. Maths tutor
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Given that y=(sin4x)(sec3x), use the product rule to find dy/dx

First, recall the Product rule: f(x)=g(x)*h(x), f'(x)=h(x)*g'(x)+h'(x)*g(x)This reveals the next step, to find the derivatives of our two subsidiary functions(g and h) d/dx * (sin4x) = 4cos(4x) , and d/dx (s...
EF
Answered by Edward F. Maths tutor
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What is the defining characteristic of Cubism?

A multifaceted and enigmatic style of modern art, Cubism is defined primarily by its break with art historical tradition. Launched by Picasso and Braque in the first decade of the twentieth-century in Paris,...
AS
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Distinguish between the structure of plant and animal cells

A number of differences exist between the structure of animal cells and plant cells. The most prominent difference is the presence of both cell walls and cell membranes in plants, while animal cells only hav...
JK
Answered by Joanna K. Biology tutor
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Please write the equation to form the compound Zinc Chloride?

Firstly, you should think of what would react to form Zinc chloride and what Zinc chloride even is.Looking at the periodic table and with knowledge from class, I as a student should know that this is an exam...
MJ
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