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What is a sonata form?

A sonata form is a musical structure that originated from a ternary form (a three part form); coming into recognition in the early Classical era. Despite variations in the form, the general form consists of ...
IP
Answered by Isabella P. • Music tutor
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Describe one form of minor extrusive activity and explain its formation.

Geysers are intermittent discharges of turbulent water from the Earth's surface. One of the most famous examples is Old Faithful in Yellowstone National Park, North America. There are several factors needed ...
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Answered by Amy B. • Geography tutor
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Let g (x) = 2x sin x . (a) Find g′(x) . (b) Find the gradient of the graph of g at x = π .

a) f'(x)=uv'+vu' if f(x)= uv u=2x u'=2 v=sin(x) v'=cos(x) g'(x)=2x cos(x) +2sin(x) b) g'(π) = 2π cos(π)+2sin(π) = 2 π (-1) + 2 (0) g'(π) = -2π
MB
Answered by Matias B. • Maths tutor
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Differentiate sin(x)cos(x) using the product rule.

The product rule states (assuming x' is the differential of x): (fg)​′​​=f​′​​g+fg​′​​ Substitute the values into the rule: (sin(x)cos(x))' = sin(x)'cos(x) + sin(x)cos(x)' (sin(x)cos(x))' = cos 2 (x) - sin 2...
MP
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For the equation y=2x+7, what is the gradient and the y intercept?

For all straight line equations as the one above, the equation is y=mx+c where: m is the gradient, c is the y-intercept. Thus from the arrangement of the given equation, gradient = 2 and y-intercept = 7 .
MP
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