Integrate
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Integrate
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Use calculus to find
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Show that
can be written as where are constants to be found.
Hence find
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Integrate
Given that and that the graph of passes through the point find an expression for in terms of only.
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The curve , described by the integral
passes through the point
Show that
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This topic pack contains questions on the following:
Use calculus to find
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Given find
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Find the equation of the curve passing through the point (4, 64) and given by
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Show that
Hence, or otherwise, work out
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Given and that when show that
Find an equation for in terms of , given that when
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Use calculus to find
Use calculus to find
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Use calculus to work out the following integrals:
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Find the equation of the curve passing through the point (-2, 3) and given by
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Show that
Hence, or otherwise, work out
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A function, has second derivative given by
Given that and find
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Use calculus to find
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Use calculus to work out the following integrals:
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Find the equation of the curve passing through the point (4, -8) and given by
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Show that
Hence, or otherwise, work out
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A function, has second derivative given by
Given that and are factors of find
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