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For the equation, 5(7x + 8) + 3(2x + b) ≡ ax + 13. Find the values of a and b. You may use a calculator.

By expanding the brackets on the left hand side of the equation you get,35x + 40 + 6x + 3b and by simplifying you get 41x + 40 + 3b.by comparing the x and constant terms on either side you find that a = 41, ...
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Answered by David B. • Maths tutor
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(a) Find the differential of the the function, y = ln(sin(x)) in its simplest form and (b) find the stationary point of the curve in the range 0 < x < 4.

a)For any function y = f(g(x)) the differential will take the form dy/dx = g'(x)f'(g(x)).(This is because of the chain rule,y = f(u), u = g(x)dy/du = f'(u), du/dx = g'(x)hence dy/dx = dy/du * du/dx = g'(x)f'...
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Answered by David B. • Maths tutor
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Compare and contrast the structure and properties of phospholipids with those of triglycerides.

Both types of molecule contain glycerol, contain ester bonds and contain the elements carbon, hydrogen and oxygen (but phospholipids also contain phosphorus). The fatty acids contained in both types of molec...
Answered by • Biology tutor
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How do metals conduct electricity?

The sea of free, delocalised electrons move through the metal, therefore conducting electricity.
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Answered by Louise L. • Chemistry tutor
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Why do the number of blood cells change in a person with an infection?

The number of white blood cells increase. This is because the white blood cells are responsible for engulfing pathogens and producing antibodies to defend against disease.
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Answered by Louise L. • Biology tutor
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