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Express cos(2x) in the form acos^2(x) + b, where a and b are constants.

we first remember the double angle formula, a really important formula. cos(2x) = cos 2 (x) - sin 2 (x).We know that sin 2 (x) + cos 2 (x) = 1, therefore, cos(2x) = cos 2 (x) + cos 2 (x) - 1. Giving our fina...
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Answered by Jack P. • Maths tutor
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Find the values of x and y for which dy/dx = 0 in y= x^3 - 4x^2 - 3x +2

dy/dx = 3x 2 - 8x - 3 when dy/dx = 0 , 0 = 3x 2 - 8x - 3 Factorise : 0= (3x + 1)(x - 3) when 3x+1 =0 , x = -1/3when x-3=0 , x =3 so x = -1/3 , 3co-ordinates are : (-1/3, 68/27), (3, -16)
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Answered by Mahir C. • Maths tutor
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In what ways can the oceans take up carbon dioxide?

By the physical/inorganic pump, the biological/organic pump and the carbonate pump. physical involves the movement of carbon dioxide from the atmosphere to the ocean via diffusionbiological is driven by phyt...
Answered by • Geography tutor
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Rewrite the sentences by replacing the underlined preposition with its opposite. Preposition practice.

Le supermarché est situé près de chez moi.Il a posé son sac sous la table.Nous sommes partis après la fin du concert.Le cinéma est à gauche de l’opéra.Nos amis habitent l’appartement au-dessus .
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Answered by Isabel S. • French tutor
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Describe the process of mRNA formation

DNA helicase unwinds the DNA double helix (breaking hydrogen bonds and exposing nucleotide bases)Mononucleotides pair up with complementary bases on the coding strandRNA polymerase moves along joining the nu...
Answered by • Biology tutor
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