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A curve has equation y = 2x^5 + 5x^4 1 . (a) Find: (i) dy/ dx [2 marks] (ii) d^2y/ dx^2 (b) The point on the curve where x ¼ 1 is P. (i) Determine whether y is increasing or decreasing at P, giving a reason for your answer.

a.) dy/dx+10x^4+20x^3

d^2y/dx^2=40x^3+60x^2

b.)sub in x=-1 to dy/dx=10(-1)^4+20(-1)^3

=-10

therefore, decreasing

AF
Answered by Alexandra F. Maths tutor
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How are X-Rays produced?

X-Rays are a form of electromagnetic radiation similar to gamma radiation except X-Rays are produced when an electron is slowed down from a high velocity and gamma waves are produced from radioactive m...

LS
Answered by Lewis S. Physics tutor
21860 Views

Please see below.

A pilot is capable of flying a plane with mass 6500kg, in a horizontal circle of radius r, at a constant speed of 75m/s. This is achieved by flying the jet with its wings at 35° to the horizontal. Calc...

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Answered by Lewis S. Physics tutor
3661 Views

Proteins are an important part of a healthy diet because they provide essential amino acids. (a) State what is meant by an essential amino acid.

 There are 20 amino acids, and they can be classified as essential or non-essential – if they are non-essential they can be synthesised by the human body...

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Answered by Darragh C. Chemistry tutor
3711 Views

The recommended daily allowance of methionine for an adult is 15 mg per kg of body mass. Tuna contains 755 mg of methionine per 100 g portion. Calculate the mass, in grams, of tuna that would provide the RDA of methionine for a 60 kg adult.

15mg per kilo recommended dose 15x60 = 900mg recommended dose for a 60kg adult There is 755mg per 100g portion of tuna So 900/755 = 1.19 times the amount in 100g of tuna is the recommended dose 1.19 x 100...

DC
Answered by Darragh C. Chemistry tutor
5718 Views

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