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The curve C has the equation y=((x^2+4)(x-3))/2*x where x is not equal to 0 . Find the tangent to the curve C at the point where x=-1 in the form y=mx+c

Firstly we need to expand out y into a series of terms to make it easier for us to compute the derivative . You multiply out the brackets to get y=(x 3 -3x 2 +4x-12)/2x then we divide each of the terms of th...
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Answered by Ellie M. • Maths tutor
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How can I remember all of the content in A-Level biology?

A-Level Biology has probably the most content of any of the A-Level sciences! Its tempting to memorise all the content in the textbook but in reality some textbooks will have extra information that is not ac...
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Answered by Joseph V. • Biology tutor
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Compare and contrast the themes of love and fantasy within "The Great Gatsby" and "The Whitsun Weddings".

Throughout both "The Whitsun Weddings" collection and the novel “The Great Gatsby” the themes of love and fantasy are frequently explored and shown by both poet and author to be somewhat interchang...
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Answered by Olivia W. • English tutor
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describe the structure of prokaryotic cell (4 marks)

they don't have a nucleus, the DNA is present in cytoplasm. prokaryotic cell has a cell membrane that controls movement of molecules in and out of the cell. prokaryotic cells also have cell walls that provid...
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Answered by Julia L. • Biology tutor
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Let z=x+yi such that 16=5z - 3z*, What is z?

z* is the complex conjugate of z therefore z* = x - yi. So 16 + 32i = 5(x + yi)-3(x - yi), real: 16 = 5x - 3x => 16=2x => x=8, imaginary: 32 = 5y + 3y => 32 = 8y => y=4, therefore z = 8 + 4i.
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Answered by Ben C. • Maths tutor
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