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Find dy/dx of the equation (x^3)*(y)+7x = y^3 + (2x)^2 +1 at point (1,1)

Use the product rule d(u.v)/dx = u.(dv/dx) + v(du/dx). Calculate the LHS as such first. (Demonstrate on whiteboard.) Then calculate the RHS. (Demonstrate on whiteboard.) Group the dy/dx terms on one side of ...
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Answered by Sophie P. • Maths tutor
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Natasha has two bags of fruit. both bags have the same number of fruit in total. 1/3rd of the fruit in bag 1 are apples and 15% of the fruit in bag 2 are apples. There are 20 apples in bag 1, how many apples are in bag 2?

Using the fact that 1/3rd of the fruit in bag 1 are apples and there are 20 apples in total you can work out that there are 60 pieces of fruit in bag 1. This is found by doing 20 x 3 = 60. Then using the fac...
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Answered by Danyal Q. • Maths tutor
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Factorise 2e – 4f + ex -2fx

2(e-2f) + x(e-2f) = (2+x)(e-2f)
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Answered by Katrina T. • Maths tutor
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How do mutations make non-functional enzymes?

Mutations are changes to the base sequence. The base sequence determines the amino acid sequence. A different base sequence therefore codes for a different amino acid sequence. Amino acids interact with each...
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Answered by Chris B. • Biology tutor
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Why are electron volts used instead of Joules in Quantum Phenomena and how do you convert between the two?

In quantum and particle physics, quantities such as energy and momentum are extremely small and so it is logical to have a standard unit of energies at this scale. It saves time to write 1eV, as opposed to 1...
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Answered by Sophie P. • Physics tutor
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